PATENT DOCUMENT

Publication Number: US-11763971-B2
Application Number: US-202217855116-A
Country: US
Kind Code: B2

Title: Methods to control force in reluctance actuators based on flux related parameters

Abstract:
Disclosed herein are reluctance actuators and methods for feedback control of their applied force. Embodiments of the reluctance actuators include an electromagnet positioned to deflect a metallic plate to provide a haptic output. The control of the force is provided without force sensors (sensorless control) by monitoring voltage and/or current (V/I) applied during an actuation. For a given intended force output, an electrical parameter value (flux, current, or other parameter) is read from a look up table (LUT). The LUT may store a present value of the inductance of the reluctance actuator. The feedback control may be a quasi-static control in which the LUT is updated after actuation based on the monitored V/I. The feedback control may be real-time, with a controller comparing an estimated electrical parameter value based on the measured V/I with the value from the LUT.

Claims:
What is claimed is: 
     
       1. A method of controlling a force applied by a reluctance actuator, comprising:
 receiving an intended force output to be applied by the reluctance actuator; 
 obtaining from a correlator component, based at least on the intended force output and a stored estimate of an electrical parameter value of the reluctance actuator, an input parameter to be applied to the reluctance actuator; 
 actuating the reluctance actuator by applying the input parameter to the reluctance actuator to cause an actuation of the reluctance actuator; 
 obtaining at least one of a measurement of a current or a measurement of a voltage in the reluctance actuator during the actuation; 
 estimating the electrical parameter value of the reluctance actuator using the at least one of the measurement of the current or the measurement of the voltage; and 
 adjusting the actuation of the reluctance actuator by updating the input parameter using the estimated electrical parameter value of the reluctance actuator. 
 
     
     
       2. The method of  claim 1 , wherein the input parameter is at least one of a current applied by a current driver to the reluctance actuator or a voltage applied by a voltage driver to the reluctance actuator. 
     
     
       3. The method of  claim 1 , wherein:
 the correlator component is look up table (LUT); and 
 the electrical parameter value of the reluctance actuator is an inductance of the reluctance actuator. 
 
     
     
       4. The method of  claim 3 , further comprising updating a stored estimate of the inductance of the LUT after adjusting the actuation of the reluctance actuator and based on the updated input parameter. 
     
     
       5. The method of  claim 1 , further comprising obtaining, from a magnetic flux sensor, a measurement of the magnetic flux produced by the reluctance actuator. 
     
     
       6. The method of  claim 5 , wherein the measurement of the magnetic flux is used with the at least one of the measurement of the current or the measurement of the voltage to perform the operation of estimating an actual inductance of the reluctance actuator. 
     
     
       7. A haptic actuator comprising:
 a reluctance actuator including:
 a metallic plate; and 
 an electromagnet positioned adjacent to the metallic plate; and 
 
 control electronic components including:
 a correlator component; 
 a driver component operably linked with the electromagnet; and 
 an estimation component; 
 
 wherein the control electronic components are operable to:
 receive a force trajectory; 
 determine an input parameter for the driver component using the force trajectory with the correlator component; 
 apply the input parameter to the driver component to cause an actuation of the reluctance actuator; 
 measure, by the estimation component, a voltage and a current in the reluctance actuator during the actuation; 
 estimate an inductance of the reluctance actuator using the voltage and the current measured during the actuation; and 
 update the input parameter for the driver component during the actuation of the reluctance actuator using the estimated inductance. 
 
 
     
     
       8. The haptic actuator of  claim 7 , wherein:
 the correlator component contains a memory implementing a look up table (LUT); 
 the LUT includes a stored estimate of an inductance of the reluctance actuator; and 
 the stored estimate of the inductance of the reluctance actuator is used with the force trajectory to determine the input parameter for the driver component. 
 
     
     
       9. The haptic actuator of  claim 8 , further comprising updating the LUT after updating the input parameter for the driver component, wherein updating the LUT includes updating the stored estimate of the inductance of the reluctance actuator. 
     
     
       10. The haptic actuator of  claim 7 , wherein:
 the driver component is a current amplifier; and 
 the input parameter is an input current. 
 
     
     
       11. The haptic actuator of  claim 7 , wherein:
 the driver component is a voltage amplifier; and 
 the input parameter is an input voltage. 
 
     
     
       12. The haptic actuator of  claim 7 , wherein:
 the control electronic components further comprise a controller element; 
 the controller element is configured to provide a feedback control input to the driver component; and 
 the feedback control input is at least partially based on the monitored current value. 
 
     
     
       13. The haptic actuator of  claim 12 , wherein the control electronic components further include a magnetic flux estimator operable to:
 determine an estimate of a magnetic flux in the reluctance actuator during the actuation based on the monitored voltage value and the monitored current value in the reluctance actuator; and 
 provide the estimate of the magnetic flux in the reluctance actuator to the controller element. 
 
     
     
       14. The haptic actuator of  claim 13 , wherein the control electronic components further include a magnetic flux sensor associated with the electromagnet and operable to:
 obtain a measurement of the magnetic flux in the reluctance actuator during the actuation; and 
 provide the measurement of the magnetic flux to the magnetic flux estimator. 
 
     
     
       15. A method of control of a force applied by a reluctance actuator that includes an electromagnet and a flexible metallic plate, comprising:
 receiving an intended force output; 
 obtaining from a correlator component, based on the intended force output and a stored value of an electrical parameter value of the reluctance actuator, an input parameter; 
 receiving, at a driver component, an input drive signal based on the input parameter; 
 applying, by the driver component, an output drive value to the electromagnet to actuate the reluctance actuator; 
 receiving, at a feedback controller, the input parameter and a feedback value of the electrical parameter value of the reluctance actuator; 
 applying, by the feedback controller during the actuation, an input drive value to the driver component, the input drive value based on the input parameter and the feedback value of the electrical parameter value of the reluctance actuator; 
 measuring a current in the reluctance actuator during the actuation; and 
 using, by the feedback controller, the measurement of the current in the reluctance actuator during the actuation to determine the feedback value of the electrical parameter value of the reluctance actuator. 
 
     
     
       16. The method of  claim 15 , wherein:
 the correlator component is a look up table (LUT); 
 the stored value of the electrical parameter value of the reluctance actuator is an initial value of an inductance; and 
 the input parameter is a current value. 
 
     
     
       17. The method of  claim 16 , wherein:
 the input drive signal is a first input drive signal; and 
 applying, by a feed-forward component, a second input drive to the driver component based on the feedback value of the electrical parameter value of the reluctance actuator. 
 
     
     
       18. The method of  claim 16 , further comprising:
 measuring a voltage in the reluctance actuator during the actuation; 
 determining an estimated resistance and an estimated inductance of the reluctance actuator based on the measured current and the measured voltage in the reluctance actuator during the actuation; and 
 updating the LUT by replacing the initial value of the inductance of the reluctance actuator with the estimated inductance of the reluctance actuator. 
 
     
     
       19. The method of  claim 18 , wherein the input parameter is an input value of a magnetic flux, and the method further comprises estimating a magnetic flux in the reluctance actuator during the actuation based on the measured current and the measured voltage in the reluctance actuator during the actuation. 
     
     
       20. The method of  claim 16 , wherein the input parameter is an input value of a magnetic flux, and the method further comprises:
 receiving, from a magnetic flux sensor associated with the electromagnet, a measurement of a magnetic flux in the reluctance actuator during the actuation; and 
 using the measurement of the magnetic flux in the reluctance actuator during the actuation to update the input drive signal.

Description:
CROSS-REFERENCE TO RELATED APPLICATION 
     This application is a continuation of U.S. patent application Ser. No. 16/581,686, filed Sep. 24, 2019, the contents of which are incorporated herein by reference as if fully disclosed herein. 
    
    
     FIELD 
     The present disclosure generally relates to magnetic reluctance actuators and methods of providing haptic output by such reluctance actuators, and more particularly to control using measurements of magnetic flux, inductance, and other parameters, either before or during actuation. 
     BACKGROUND 
     Electronic devices are commonplace in today&#39;s society. Example electronic devices include cell phones, tablet computers, personal digital assistants, and the like. These electronic devices may provide a haptic (touch/vibration) output to provide information, responses, or alerts to a user. Examples of such haptic outputs are vibrations on a computer trackpad or vibrations on a cellphone, among others. 
     Such haptic outputs can be provided by an actuator, which may take the form of an electromechanical device that deflects or otherwise moves a flexible component. For a quality user experience, the amount of force provided by a haptic actuator may be monitored and controlled by a control system. Some control systems use feedback with a direct measurement of the output being provided. In the case of a force output from a haptic actuator, the feedback would be of direct measurements of the force it applies. This may be done directly through use of force sensors positioned on the component of the actuator, such as a plate, that provides the haptic output. This can require multiple force sensors, such as strain sensors, positioned on the flexible component. 
     SUMMARY 
     This summary is provided to introduce a selection of concepts in a simplified form that are further described below in the Detailed Description section. This summary is not intended to identify key features or essential features of the claimed subject matter, nor is it intended to be used as an aid in determining the scope of the claimed subject matter. 
     Disclosed herein are devices that include reluctance actuators, and also methods for the control of forces provided by such reluctance actuators. A reluctance actuator can include an electromagnet positioned near a metallic object or plate so that a current in the electromagnet (an actuation) induces a magnetic flux (or just ‘flux’) that induces a force of attraction on the metallic object. The metallic object may be a ferritic plate positioned near a mostly planar coil forming the electromagnet. Various methods are presented for control of the force provided by such reluctance actuators. The methods may make use of a correlator component, such as a look up table, that may be updated based on feedback. The methods may use sensorless control feedback, in that the force output of the reluctance actuators is not measured directly, but is estimated based on electrical parameters of the reluctance actuators related to the magnetic flux. Such electrical parameters of the reluctance actuators include, but are not limited to, any of measurements of the current and/or voltage in the reluctance actuator during actuation, measurements or estimates of the magnetic flux itself, and estimates of an inductance and a resistance of the reluctance actuator. 
     More specifically, described herein is a method of controlling force applied by a reluctance actuator. The method includes receiving an intended force output to be applied by the reluctance actuator, and obtaining from a correlator component, such as a look up table (LUT), based at least on the intended force output and a stored estimate of an electrical parameter value of the reluctance actuator, an input parameter to be applied to the reluctance actuator. The method includes applying the input parameter to the reluctance actuator to cause an actuation of the reluctance actuator; obtaining at least one of a measurement of a current or a measurement of a voltage in the reluctance actuator during the actuation, estimating at least one of a resistance of the reluctance actuator, an inductance of the reluctance actuator, and a magnetic flux produced by the reluctance actuator using the at least one of the measurement of the current and the measurement of the voltage; and updating the stored estimate of the electrical parameter value of the reluctance actuator of the correlator component based on the at least one estimate of the resistance of the reluctance actuator, the inductance of the reluctance actuator or the magnetic flux produced by reluctance actuator. 
     In additional and/or alternative embodiments, the input parameter may be a voltage value or a current value to be applied by a driver to the reluctance actuator. The methods may include updating the stored estimate of the electrical parameter value of the reluctance actuator after the actuation. A measurement of the magnetic flux produced by the reluctance actuator during the actuation from a magnetic flux sensor associated with the reluctance actuator may be used as part of estimating the inductance of the reluctance actuator. 
     Also described herein are haptic actuators that include a reluctance actuator and control electronics for the reluctance actuator. The reluctance actuator may include a metallic plate and an electromagnet positioned adjacent to the metallic plate; the control electronics may include a correlator component, such as a look up table (LUT), a driver component operably linked with the electromagnet, and an estimation component. The control electronics may be operable to receive a force trajectory, and determine an input parameter for the driver component using the force trajectory as an input to the correlator component. The input parameter may be applied to the driver component to cause an actuation of the reluctance actuator, the estimation component may monitor at least one of a voltage or a current in the reluctance actuator, and the correlator component may be updated based on the monitored value of at least one of the voltage and the current in the reluctance actuator. 
     In additional and/or alternative embodiments, the correlator component of the haptic actuators may store an estimate of an electrical parameter value of the reluctance actuator, and use the stored estimate of the electrical parameter value of the reluctance actuator with the force trajectory to determine the input parameter for the driver component. The driver component may be a current amplifier and the input parameter may be a current value. The driver component may be a voltage amplifier and the input parameter may be a voltage value. The control electronics may include a controller component that provides a feedback control input to the driver component based on the monitored value of the current in the reluctance actuator. 
     The control electronic components may further include a magnetic flux estimator operable to determine an estimate of the magnetic flux in the reluctance actuator during the actuation based on the monitored values of the voltage and the current in the reluctance actuator and provide the estimate of the magnetic flux to the controller element. Additionally and/or alternatively, the control electronics components may further include a magnetic flux sensor associated with the electromagnet and operable to obtain a measurement of the magnetic flux in the reluctance actuator during the actuation, and provide the measurement of the magnetic flux to the magnetic flux estimator. 
     Also described herein are methods of control of a force applied by a reluctance actuator that includes an electromagnet and a flexible metallic plate. The method includes receiving an intended force output, and determining, using a correlator component, such as a look up table (LUT), based on the intended force output and an initial value of an electrical parameter value of the reluctance actuator, an input parameter. The method includes receiving at a feedback controller the input parameter and a feedback value of the electrical parameter value of the reluctance actuator. The methods may include: applying, by the feedback controller, an input drive value to a driver component, the input drive value based on the input parameter and the feedback value of the electrical parameter value of the reluctance actuator; applying, by the driver component, an output drive value to the electromagnet to actuate the reluctance actuator; measuring a current in the reluctance actuator during the actuation; and using the measured current to determine the feedback value of the electrical parameter value of the reluctance actuator. The input parameter of the electrical parameter may be a current. 
     In additional and/or alternative embodiments, the input drive value is a first input drive value, and the methods may include determining, based on the input parameter, a second input drive value; and applying the second input drive value to the driver component by a feed-forward component. The methods may include measuring a voltage in the reluctance actuator during the actuation, determining an estimated resistance and an estimated inductance of the reluctance actuator based on the measured current and voltage, and updating the LUT by replacing the initial value of the inductance of the reluctance actuator with the estimated inductance of the reluctance actuator. 
     The input value of the electrical parameter may be an input value of a magnetic flux, and the methods may further include estimating a magnetic flux in the reluctance actuator during the actuation based on the measured voltage and current in the reluctance actuator during actuation, and using the estimated magnetic flux in the reluctance actuator as the feedback value of the electrical parameter received at the feedback controller. Additionally and/or alternatively, the methods may include receiving, from a magnetic flux sensor associated with the electromagnet, a measurement of a magnetic flux in the reluctance actuator during the actuation, and using the measurement of the magnetic flux in the reluctance actuator as the feedback value of the electrical parameter received at the feedback controller. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The disclosure will be readily understood by the detailed description in conjunction with the accompanying drawings, wherein like reference numerals designate like structural elements. 
         FIG.  1 A  illustrates a laptop computer with a trackpad. 
         FIG.  1 B  illustrates a tablet computer. 
         FIG.  2 A  shows a cut away view of a reluctance actuator. 
         FIG.  2 B  shows a side view of a reluctance actuator. 
         FIG.  3    is a block diagram of components of control systems that may be used with reluctance actuators. 
         FIG.  4    is a block diagram of components of a control system for a reluctance actuator. 
         FIG.  5    is a block diagram of components of a control system that may be used with a reluctance actuator. 
         FIG.  6    is a block diagram of components of a control system that may be used with a reluctance actuator. 
         FIG.  7    is a block diagram of components of a control system that may be used with a reluctance actuator. 
         FIG.  8    is a flow chart of a method for controlling a reluctance actuator. 
         FIG.  9    is a flow chart of a method for controlling a force applied by a reluctance actuator. 
     
    
    
     The use of cross-hatching or shading in the accompanying figures is generally provided to clarify the boundaries between adjacent elements and also to facilitate legibility of the figures. Accordingly, neither the presence nor the absence of cross-hatching or shading conveys or indicates any preference or requirement for particular materials, material properties, element proportions, element dimensions, commonalities of similarly illustrated elements, or any other characteristic, attribute, or property for any element illustrated in the accompanying figures. 
     Additionally, it should be understood that the proportions and dimensions (either relative or absolute) of the various features and elements (and collections and groupings thereof) and the boundaries, separations, and positional relationships presented therebetween, are provided in the accompanying figures merely to facilitate an understanding of the various embodiments described herein and, accordingly, may not necessarily be presented or illustrated to scale, and are not intended to indicate any preference or requirement for an illustrated embodiment to the exclusion of embodiments described with reference thereto. 
     DETAILED DESCRIPTION 
     Reference will now be made in detail to representative embodiments illustrated in the accompanying drawings. It should be understood that the following descriptions are not intended to limit the embodiments to one preferred embodiment. To the contrary, it is intended to cover alternatives, modifications, and equivalents as can be included within the spirit and scope of the described embodiments as defined by the appended claims. 
     The embodiments described herein are directed to haptic output devices having reluctance actuators, and to systems and methods controlling the reluctance actuators. Examples of such devices include, but are not limited to, trackpad, buttons, switches, display screens, housings, or other haptic output surfaces of an electronic device. 
     The reluctance actuators described herein include an electromagnet positioned adjacent to, or sufficiently close to, a metallic object or plate, which may be ferromagnetic, so that a magnetic field produced by the electromagnet induces a magnetic field within the metallic object. For simplicity of exposition, hereinafter the metallic object will be presumed to be a plate, though one skilled in the art will recognize that the reluctance actuators can use metallic objects with other geometries or shapes. The electromagnets are positioned so that when a current is induced through them, the magnetic field is directed toward the metallic plate. Physically, the magnetic flux preferentially tends to be contained in the metallic plate, resulting in a force applied to the metallic plate that attracts it toward the electromagnet. 
     The applied force may cause the metallic plate to bend or flex. By applying an appropriate current pattern over time, such as a simple sinusoid or a more complex current pattern, a corresponding intended force output (or “force trajectory”) can be applied to the metallic plate. The resulting flexing or bending of the metallic plate can be used to induce a respective haptic (touch) output pattern. An intended force output or force trajectory may also be a constant value, such as to produce a divot, bump, or other deflection of a surface as a haptic output of a device. 
     The embodiments described herein include feedback methods for controlling the actual force output produced by a reluctance actuator. The methods include both quasi-static and real-time feedback control. In quasi-static feedback control, adjustments of the parameters of, or inputs to, the reluctance actuator that cause its actuation (such as a current needed to induce the force output) are made after an actuation and a determination that adjustment is needed. In real-time feedback control, adjustments to those inputs to the reluctance actuator that cause its actuation are adjusted continuously (or near-continuously, or at specific intervals across a period of time). A goal of both such feedback control methods is to ensure an actual value of an output (such as the force applied by the reluctance actuator) equals an intended or desired value of that output, or at least that the actual value is practicably close to the intended or desired value. 
     Feedback control of a force output provided by reluctance actuators may compensate for manufacturing variances and component drift over time and usage. A goal is to provide a consistent, uniform output force. As an example, a trackpad of a laptop computer may provide a haptic (or touch) output in response to a certain user input, such as providing a “click” feel when the user presses to activate a program of an icon displayed on the laptop&#39;s screen. User experience is improved if this feel is consistent between devices and over time. 
     Feedback control is often implemented by directly measuring the actual value of the output of interest (e.g., the output that results from the control). In the case that the output of interest is the force applied to the metallic object of a reluctance actuator, direct measurement of the force would require force sensors, such as piezoelectric sensors, piezoresistive sensors, strain gauges, or the like, to be attached to the metallic object. This could add complexity and cost to an associated electronic device. 
     Various embodiments described herein are directed to non-direct feedback control of a force output from a reluctance actuator. Instead of directly measuring an output force, other parameters of the reluctance actuator are measured to estimate or infer the actual output force provided, and to adjust operation (feedback) of the reluctance actuator. Two such parameters that can be measured or monitored are the current and the voltage in the reluctance actuator during the actuation. Another parameter, which may be directly measured, is the magnetic flux. While the magnetic flux may be directly measured by any of various sensors, it provides an indirect parameter value to be used for feedback control of the reluctance actuator&#39;s actual output force. 
     As haptic outputs typically occur briefly over a limited amount of time, quasi-static feedback control may suffice. In quasi-static feedback control, adjustments are made to the reluctance actuator or its control electronics after an actuation. 
     In various embodiments disclosed herein, the control electronics for a reluctance actuator include a correlator component that takes in (or receives) at least a desired or intended force output, and provides an input parameter (such as a voltage or current value) that is used by other control electronics to drive the reluctance actuator so as to produce the intended force output. Such a correlator component may be implemented, in various embodiments, as a look up table (LUT). Such a LUT may be implemented as a one-, two-, or higher dimensional table or array (depending on the number of received inputs at the correlator component) from which the provided input parameter is read off. Such a table may be implemented as an integrated circuit comprising a memory storing the table. Such a memory may be modifiable, as will be discussed in the families of embodiments described below. In other embodiments, a correlator component may be implemented as: a processor or processing components running software programs that calculates the input parameter, as an application specific integrated circuit producing an output or signal correlated with the input parameter; or by other electronic circuits or components. In the embodiments to be described, the correlator component or its operations may by modifiable using feedback based on an observed haptic output of the haptic actuator. 
     The correlator component may be modifiable in order to account for variations of the components of the reluctance actuator due to manufacture and usage. As an example, in the case that the correlator component is a LUT, implemented as a two-dimensional (or even higher dimensional) array, the LUT may additionally receive or take in one or more entries corresponding to properties of the reluctance actuator to provide the input parameter. 
     For example, such a LUT may need the desired force output as a first entry and an inductance value of the reluctance actuator to read out the corresponding input parameter with which to drive the reluctance actuator. Such a LUT would have the desired force output as a first dimension of the 2D array, with inductance as a second dimension. One value of the inductance can be stored as a present estimate (pending further update) of the inductance of the reluctance actuator. 
     At manufacture of an electronic device, an associated correlator component may have stored estimates or values (in the case of a LUT) or software operations (in the case a software-implemented correlator component) based on design characteristics. However, due to manufacturing variances or drifts in electronic component values, further updates based on feedback control (either quasi-static or real-time) during usage may be made. 
     In various embodiments, one or both of quasi-static or real-time feedback control of the force output provided by a reluctance actuator may make use of estimates of the inductance and/or resistance of the reluctance actuator obtained during actuation. These estimates may be based on measurements of the current and/or voltage across the reluctance actuator during actuation. Current and voltage sensing may be implemented as part of a driver component for the reluctance actuator. 
     These and other embodiments are discussed below with reference to  FIGS.  1 A- 9   . However, those skilled in the art will readily appreciate that the detailed description given herein with respect to these Figures is for explanatory purposes only and should not be construed as limiting. In particular, for simplicity of explanation only, in the exemplary embodiments now to be described, the correlator component will be assumed to be a LUT. One skilled in the art will recognize that other implementations of a correlator component may be used in place of the LUT. 
     Further, although specific electronic devices are shown in the figures and described below, the reluctance actuators described herein may be used with various electronic devices including, but not limited to, mobile phones, personal digital assistants, a time keeping device, a health monitoring device, a wearable electronic device, an input device (e.g., a stylus), a desktop computer, electronic glasses, and so on. Although various electronic devices are mentioned, the reluctance actuators and methods of their control described in the present disclosure may also be used in conjunction with other products and combined with various materials. 
       FIG.  1 A  illustrates an example electronic device  100  that may incorporate one or more reluctance actuators and associated control methods according to one or more embodiments of the present disclosure. The electronic device  100  in this example is a laptop computer. The electronic device  100  includes a display screen  102  on which visual output may be displayed. The electronic device  100  includes a keyboard  104  by which a user  108  may enter data and/or instructions for operations. 
     The electronic device  100  also includes a trackpad  106  through which the user  108  can move a cursor, enter data, or enter commands by touch or force applied to the trackpad  106 . The trackpad  106  may include a reluctance actuator to provide haptic output or feedback to the user  108 . Although  FIGS.  1 A- 1 B  show different electronic devices  100  and  110 , like reference numerals are used to designate similar components. 
       FIG.  1 B  illustrates a second example electronic device  110  that may incorporate one or more reluctance actuators and associated control methods according to one or more embodiments of the present disclosure. The electronic device  110  in this example is a tablet computer. A smart phone may be another example electronic device that has an analogous configuration of components and may incorporate one or more reluctance actuators and associated control methods. The electronic device  110  includes a display screen  114  on which visual output may be displayed. The electronic device  110  includes two button entries  112   a  and  112   b  by which a user  116  may alter operation of the electronic device  110 , such as change volume settings, turn on/off, etc. 
     A user  116  may move a cursor, enter data, or enter commands by touch or force applied to the display screen  114 . The display screen  114  may include one or more reluctance actuators to provide haptic output or feedback to the user  116 . 
       FIG.  2 A  shows a cutaway view of an example configuration of a reluctance actuator  200 , such as may be used with the electronic devices described in  FIGS.  1 A-B , or other electronic devices. The reluctance actuator  200  includes a metallic plate  204 , which may be able to deflect or flex. The metallic plate  204  is shown partially cutaway to show components underneath, and may extend as a plane further over those components. The metallic plate  204  may be positioned against or proximate to an interior surface of the electronic device to provide a haptic output on a surface of the electronic device as it flexes or deflects. Though in the example configuration of  FIG.  2 A  the reluctance actuator includes the metallic plate  204 , in other embodiments, the plate may be replaced by a disk or another shape that can be attracted electromagnetically to an electromagnet  210  (described in more detail below), and so cause a haptic output as a result. The metallic plate  204  may include a ferritic metal, such as a steel alloy, ALNICO, or alloys using nickel, cobalt, or others so that the metallic plate is ferromagnetic. 
     The reluctance actuator  200  may be situated on a support surface  202  of the electronic device, which may be a printed circuit board, mid plate, structural support, enclosure, or the like. In some embodiments, the support surface  202  may be affixed on its bottom side  208  to further structures within the electronic device, or may be affixed by one or more connectors to other structures. The metallic plate  204  may be supported above the support surface  202  on supports  206 , as shown further in  FIG.  2 B . 
     The example configuration of the reluctance actuator  200  also includes at least one electromagnet  210  situated in, under, or on the support surface  202 . The electromagnet  210  may be configured as a mostly planar coil of wires (shaped, for example, as a toroid or elongate ovoid), so that its vertical dimension may be small with respect to a lateral dimension. In other embodiments other configurations may be used. The electromagnet  210  may have electrical contacts  212  that extend to a source of electrical power, such as a voltage source or current source, and other control electronics, as described further below. The electrical contacts  212  may be implemented as leads on, in, or below the support surface  202 , which may be a printed circuit board, or as wires extending to other electronics, or as another implementation. 
     The electromagnet  210  may be connected to control electronics (as described below) through the electrical contacts  212 . The control electronics can provide an alternating or other current through the electrical contacts  212  so that the electromagnet  210  produces a magnetic flux, as described further below. 
       FIG.  2 B  shows a cross-section view of the example reluctance actuator  200 . The metallic plate  204  is shown supported above the support surface  202  by supports  206   a  and  206   b . Though only the two supports  206   a  and  206   b  are shown, the metallic plate  204  may be supported by another number of supports. In the example configuration shown, the metallic plate  204  is supported at its edges so as to be able to flex near its center upon actuation. However, other mounting configurations may be used, such as a cantilever configuration, in which an edge or side of the metallic plate  204  is free to flex upon actuation. The supports  206  may be either rigid or flexible, depending on the amount and nature of the haptic output desired for the electronic device. 
     In the embodiment shown in  FIG.  2 B , the electromagnet  210  is shown as embedded in the support surface  202  with the electrical contacts  212  extending exterior through the support surface  202 . One skilled in the art will recognize that such a configuration is not necessary, as other embodiments may have the electromagnet  210  mounted on top of the support surface  202 , while still other embodiments may have the electromagnet  210  mounted below the support surface  202 . 
     A current flowing in the electromagnet  210  induces magnetic flux around its coils, as indicated by the magnetic flux lines  214   a  and  214   b  above the electromagnet  210  and their continuation  216  below the electromagnet  210 . In embodiments in which the metallic plate  204  is ferromagnetic, the portions of the magnetic flux lines  214   a  and  214   b  above the electromagnet  210  are induced to be mostly confined to the metallic plate  204  and generate a force of attraction with the electromagnet  210  that tends to reduce the gap distance  218 . Flexing of the metallic plate  204  under this force can be used to generate a haptic output on a surface of an electronic device. The metallic plate  204  may be ferromagnetic to produce a relatively stronger deflection force in the metallic plate  204  than if it were made of a paramagnetic or diamagnetic material, though such materials may be used if smaller forces or flexes are preferred. 
     For the example reluctance actuator  200  shown, the force on the metallic plate  204  is given by 
               F   =       Φ   2     /   2   ⁢     μ   0     ⁢     n   2     ⁢     A   c         ,         
where n is the number of windings, Φ is the magnetic flux, A c  is the cross-sectional area, and μ 0  is the permeability of free space. The values of n and A c  are determined by design specification, though A c  may be subject to manufactured variations. For the configuration of the reluctance actuator  200  shown, this formula becomes
 
               F   =           μ   0     ⁢     n   2     ⁢     A   c       2     ⁢       (     I   g     )     2         ,         
where I is the current and g is the gap distance  218 . This reduces to the form
 
               F   =           μ   0     ⁢     n   2     ⁢     A   c       2     ⁢       (   LI   )     2         ,         
showing the force F in terms of the current I and the inductance L of the actuator. One consequence is that the flux Φ is proportional to the square root of the force, or that the current I is proportional to the square root of the force divided by the inductance. These are non-linear relationships between the intended force output and the controllable inputs to the reluctance actuator  200 .
 
     A direct measurement of the force applied by the reluctance actuator  200  on its metallic plate  204  could be implemented using force sensors, such as piezoelectric sensors, piezoresistive sensors, or another type, and would require further wiring and control components. It some embodiments it may be preferable to infer the applied force based on measurements of other parameters of the actuator. Examples of such embodiments are as now presented. 
       FIG.  3    is a block diagram showing components of example systems  300  that may be used, such as by a haptic actuator of an electronic device, to control an actual output force  315  applied by the reluctance actuator  312 . Various embodiments described herein may use fewer or more components than depicted. The particular components shown may be implemented as single electronic or electromagnetic components, such as single integrated circuits, or as multiple such components. In some embodiments of the example systems  300 , various components and/or their operations may be implemented by software running on a processor or other computational electronics. 
     A force trajectory  302  is received as an input to the systems  300 . The force trajectory  302  may be an intended force output to be provided by the reluctance actuator  312 , or a signal or information from which the systems  300  can infer the intended force output. The force trajectory  302  may be a single value of a force, such as to be provided at one time, or a sequence or waveform of force for the intended force output to be provided by the reluctance actuator  312  over a time interval. The force trajectory  302  may be produced by processors or other electronic processing components (not shown) of an electronic device. The force trajectory  302  may be intended to provide a haptic output as a response to a user input to the electronic device. 
     The example systems  300  may use the force trajectory  302  as an input to a correlator component  304  to determine and provide a value or values of an input parameter. In the specific example systems  300  shown, the correlator component is implemented as a look up table (LUT)  304 , but a different implementation of the correlator component may be used. Such a provided input parameter may be an electronic parameter value, to be used by other components of the systems  300 . The input parameter or electronic parameter value may be a current value (I), voltage value, magnetic flux value (Φ), resistance, inductance or another parameter value to be applied to, or provided by, the reluctance actuator  312 . Such an input parameter or electronic parameter value may be in the form of an analog or digital signal to be used as by other components of the systems  300  to produce an actual output force  315 . 
     In the embodiment shown, the LUT  304  may also contain, or be provided with, a value L for the inductance of the reluctance actuator  312  as part of determining the input parameter. In such embodiments, the LUT  304  may be configured as a 2-dimensional array. In the embodiment shown, the determined input parameter may be one of the electrical parameter values of current (I) or magnetic flux (Φ). Other embodiments may determine a different electrical parameter value from the LUT  304  using a stored inductance value of the reluctance actuator and the given force trajectory  302 . 
     Certain embodiments of the systems  300  may include any combination of the feed-forward component  306 , the controller element  308 , and the magnetic flux feedback component  320 . Still other embodiments of the systems  300  may not use any of these three components. 
     The input parameter may be applied as an input to the controller element  308 , which may be based on proportional control, and may not use feedback, or may be a proportional/integral/derivative (PID) controller that accepts a feedback signal from the magnetic flux feedback component  320 . The input parameter may be applied as an input to a feed-forward component  306 , which may convert or condition the input parameter to a form to apply to a driver component  310  that causes actuation of the reluctance actuator  312 . The output signal of the feed-forward component  306  may be combined with the output signal of the controller element  308  to apply to the driver component  310  that causes actuation of the reluctance actuator  312 . The combination of the output signals may be additive (as shown) or subtractive, or another combination. 
     The driver component  310  may use the input signal to determine a corresponding output signal to apply to the reluctance actuator  312 . In some embodiments, the driver component  310  is a voltage amplifier that amplifies and/or conditions its input signal to provide an output voltage signal for driving the reluctance actuator  312  to produce an actual output force  315 . In other embodiments, the driver component  310  is a current amplifier that amplifies and/or conditions its input signal to provide an output current signal for driving or causing actuation of the reluctance actuator  312  to produce an actual output force  315 . 
     The reluctance actuator  312  accepts a driving signal and operates to create an actual output force  315  corresponding to the driving signal. For example, a driving signal that is a current provided by the driver component  310  can induce a force as explained above in relation to the reluctance actuator  200 . 
     Various embodiments of the systems  300 , explained in more detail below, can use various feedback mechanisms and methods to reduce differences between the given force trajectory  302  (and its associated intended force output) and the actual output force  315 . These embodiments are designed to avoid direct measurements of the actual output force  315 , since such measurements would require the use of force sensors and associated electronics, such as on the metallic plate  204  of the reluctance actuator  200 . 
     The feedback mechanisms and methods may use measuring or monitoring a current  314   a  and/or a voltage  314   b  in the reluctance actuator  312  during an actuation. The current  314   a  and voltage  314   b  may be sensed at the output of the driver component  310 , across the electrical contacts  212  in the reluctance actuator  200 , or at another location. In some embodiments, a magnetic flux sensor may be included to measure directly a magnetic flux, such as that produced by the electromagnet  210  of  FIG.  2 A . The measurements of any or all of the current  314   a , the voltage  314   b , and the magnetic flux may be used as inputs for feedback. 
     One feedback component is the resistance and/or inductance (R/L) estimation component  316 . The R/L estimation component  316  can use one or both of the current  314   a  and the voltage  314   b  to obtain an estimate of a resistance R and an inductance L of the reluctance actuator  312 . The resistance R may be estimated as the ratio of the voltage  314   b  to the current  314   a , though other estimation methods to obtain R may be used. The inductance L may be estimated, in embodiments in which the current  314   a  is an alternating current, by a phase difference between the current  314   a  and the voltage  314   b . Other methods for estimating L may be used. 
     The output(s)  317  of the R/L estimation component  316  may be used as inputs to a run time controller component  318 . The run time controller component  318  may adapt the output(s)  317  to provide a real-time feedback to any of the feed-forward component  306 , the controller element  308 , and the magnetic flux feedback component  320 . Each of these three components may produce their respective outputs based on present or stored estimates of the resistance R or the inductance L of the reluctance actuator  312 . As manufacturing variations, or drifts due to usage, in R and/or L may occur, the outputs of the R/L estimation component  316  may be used to update those stored estimates. 
     The R/L estimation component  316  may provide an output  319  to the LUT  304 . In some embodiments, the output  319  is an estimated value of the inductance L of the reluctance actuator  312 . The output  319  may be used to update one or more inductance values in the LUT  304 . The update may be done in a quasi-static mode, in which the update is performed after the actuation. 
     The systems  300  may include a magnetic flux feedback component  320 , that may use one or both of the measured current  314   a  and the measured voltage  314   b  to estimate a magnetic flux produced in the reluctance actuator  312 . The magnetic flux feedback component  320  may additionally or alternatively receive a measurement from a magnetic flux sensor that may be included as part of the reluctance actuator  312 . The magnetic flux feedback component  320  may use a magnetic flux estimator  320   b  that indirectly estimates a magnetic flux based on the current  314   a  and the voltage  314   b . Additionally and/or alternatively, the magnetic flux feedback component  320  may use a magnetic flux state observer  320   a  that may use a measurement of the magnetic flux in the reluctance actuator  312  obtained from a magnetic flux sensor. The output of the magnetic flux feedback component  320  may be provided to the controller element  308  as an additional input for it to use to determine the value to provide to the driver component  310 . 
     As stated previously, particular embodiments of the systems  300  may use only certain parts of the components just described. Also, other components not shown in  FIG.  3    may also be used, such as power supply components, signal buffers, analog-to-digital converters, or other components. Particular embodiments will now be described. 
       FIG.  4    is a block diagram of a system  400  for controlling the output force  315  applied by the reluctance actuator  312 . The system  400  is based on the system  300  and is directed to providing primarily quasi-static, or non-real-time, feedback for control, with an option for real-time control. The reluctance actuator  312  may be as described above in relation to  FIG.  3   . 
     The system  400  is configured to receive a force trajectory  302 , as described above. The force trajectory  302  is used with a correlator component  404 , which, in the specific example shown is the look up table (LUT)  404 . In other embodiments of the system  400 , another form of correlator component may be used. The LUT  404  may be a 2-dimensional array that uses as inputs both the force trajectory  302  with a stored estimate of inductance of the reluctance actuator  312 . The system  400  uses the force trajectory  302  with a stored estimate of inductance of the reluctance actuator  312  to obtain an input parameter  405  to be applied or read by the feed-forward component  406 . In the system  400 , the input parameter  405  is an electrical parameter value. In the case shown, it is a current value. This current value may be a value for current that the reluctance actuator  312  is to use during an actuation, or may be a value related to such a current (such as a digital representation thereof). 
     In the system  400 , the feed-forward component  406  may use the input parameter  405  to determine an input voltage value to apply to the voltage amplifier  408 . The voltage amplifier  408  may buffer or amplify the input voltage value applied to produce the output drive value  409  of a voltage needed to drive the reluctance actuator  312  into actuation. 
     As described above, the current  314   a  and the voltage  314   b  of the reluctance actuator  312  may be measured or monitored during the actuation. The measured values of the current  314   a  and the voltage  314   b  may be used by the R/L estimation component  316 , as described above, to obtain one or both of an estimate of the resistance R and of the inductance L of the reluctance actuator  312 . 
     In one embodiment, one or both of the estimates of the resistance and the inductance may then be used as feedback values to adjust operation of the feed-forward component  406 . As an example, the estimated resistance value R may be used to determine how the output voltage  407  is determined from the input parameter  405 . The adjustment may be made in real-time, such as during a time interval in which the voltage amplifier  408  is driving the reluctance actuator  312 . Additionally and/or alternatively, the adjustment may be a quasi-static control, to adjust internal memory or parameters used by the feed-forward component  406  after the actuation. 
     In another embodiment, the estimated value of the inductance  319  may be used to adjust the LUT  404 . This adjustment may be made as a quasi-static method of control after the actuation. 
       FIG.  5    is a block diagram of a system  500  for controlling the output force  315  applied by a reluctance actuator  312 . The system  500  is based on the general system  300  of  FIG.  3   , and is directed to providing quasi-static, or non-real-time, feedback for control. 
     The system  500  is configured to receive a force trajectory  302 , such as described above. The force trajectory  302  is used with the correlator component  504 , which, in the specific example shown, is the look up table (LUT)  504 . In other embodiments of the system  500 , another form of correlator component may be used. The LUT  504  may be a 2-dimensional array that uses as inputs both the force trajectory  302  with a stored estimate of inductance of the reluctance actuator  312 . The system  500  uses the force trajectory  302  with a stored estimate of the inductance of the reluctance actuator  312  to obtain an input parameter  505  to be applied or read by the current mode amplifier  506 . In the system  500 , the input parameter  505  is an electrical parameter value; in the case shown it is an input current value  505 . This current value may be a value for current that the reluctance actuator  312  is to use during an actuation, or may be a value related to such a current (such as a digital representation thereof). 
     In the system  500 , the current mode amplifier  506  may use the input current value  505  to determine an output drive value  507  of a current with which to drive the reluctance actuator  312  into actuation. 
     As described above, the current  314   a  and the voltage  314   b  of the reluctance actuator  312  may be measured or monitored during the actuation. The measured values of the current  314   a  and the voltage  314   b  may be used by the R/L estimation component  316 , as described above, to an estimate  319  of the inductance L of the reluctance actuator  312 . That estimate may then be used to adjust the LUT  504 . This adjustment may be made as a quasi-static method of control. 
       FIG.  6    is a block diagram of a system  600  for controlling the output force  315  applied by a reluctance actuator  312 . The system  600  is based on the general system  300  of  FIG.  3   , and is directed to providing real-time feedback for control. 
     The system  600  is configured to receive a force trajectory  302 , such as described above. The force trajectory  302  is used with a correlator component  604 , which, in the specific example shown, is the look up table (LUT)  604 . In other embodiments of the system  600 , another form of correlator component may be used. The LUT  604  may be a 2-dimensional array that uses as inputs both the force trajectory  302  with a stored estimate of inductance of the reluctance actuator  312 . The system  600  uses the force trajectory  302  with a stored estimate of the inductance of the reluctance actuator  312  to obtain an input parameter  605   a  to be applied or read as a first input by the controller element  608 . The input parameter  605   a  may also be applied or read as an input to the feed-forward component  606 . In the specific embodiment of  FIG.  6   , the input parameter  605   a  is an input current value (I), which may be a current value to be applied by the reluctance actuator  312  during an actuation, or may be a value related to such a current (such as a digital representation thereof). 
     The feed-forward component  606  of the system  600  may use the input parameter  605   a  to determine a first driver input value  607   a . In the embodiment shown, the feed-forward component  606  produces a voltage value as the first driver input value  607   a  to be used by the driver component  610 , which may be a voltage driver for the reluctance actuator  312 . In other embodiments, the first driver input value  607   a  produced by the feed-forward component  606  may instead be a current value to be used in the case that the driver component  610  is a current driver for the reluctance actuator  312 . 
     The controller element  608  of the system  600  may be based on proportional control, and may not use feedback, or may be a proportional/integral/derivative (PID) controller that accepts a feedback signal  605   b . In the embodiment shown, the feedback signal  605   b , is a current feedback signal, described further below. In the embodiments in which the controller element  608  accepts a feedback signal  605   b , the input parameter  605   a  and the feedback signal  605   b  may be combined, either by differencing or additively, to produce a controller input signal  605   c  that is used by the controller element  608 . 
     The controller element  608  may use the controller input signal  605   c  to determine a second driver input value  607   b . In the embodiment shown, the controller element  608  produces a voltage value as the second driver input value  607   b  to be used by the driver component  610 , which may be a voltage driver for the reluctance actuator  312 . The first driver input value  607   a  and the second driver input value  607   b  may be combined (such as additively, averaging, or another method) to produce the combined driver input  607   c  applied to the driver component  610 . The driver component  610  may then apply a corresponding output drive value or signal  611  to the reluctance actuator  312  to cause its actuation. The output drive value  611  may be a single constant value, or a time-varying signal. 
     As described above, the current  314   a  and the voltage  314   b  of the reluctance actuator  312  may be measured or monitored during the actuation. The measured values of the current  314   a  and the voltage  314   b  may be used by the R/L estimation component  316 , as described above, to produce estimates  317  of the resistance R and of the inductance L of the reluctance actuator  312 . 
     The estimate of the inductance L  319  of the reluctance actuator  312  may then be used to adjust the LUT  604 . This adjustment may be made as a quasi-static method of control, such as by adjusting the LUT  604  after the actuation. 
     In some embodiments of the system  600 , the estimates  317  of the resistance R and of the inductance L of the reluctance actuator  312  may be used to adjust operation of the feed-forward component  606  and/or the controller element  608 . 
     The system  600  may use real-time feedback control, in which the measured value of at least one of the current  314   a  and the voltage  314   b  of the reluctance actuator  312  during the actuation is applied as the feedback signal  605   b  used by the controller element  608 . If the actuation is of sufficient duration in time, the real-time feedback control may alter the current  314   a  and the voltage  314   b  of the reluctance actuator  312  during the actuation. The R/L estimation component  316  may use only values of the current  314   a  and the voltage  314   b  that occur at or near the end of the actuation to obtain the estimate of the inductance L  319  used to adjust the LUT  604 . 
       FIG.  7    is a block diagram of haptic output device  700  that includes various control electronic components to control an output force  315  applied by the reluctance actuator  312 . The reluctance actuator  312  may be as described above, and may be configured with an electromagnet to induce movement of a metallic plate that is transferred as a haptic output to a surface of an electronic device that includes the haptic output device  700 . The haptic output device  700  is configured to use real-time feedback control based on estimating the magnetic flux in the reluctance actuator  312 . The estimates of the magnetic flux in the reluctance actuator  312  in turn may be based on monitored values of a current  314   a  and/or a voltage  314   b  across the reluctance actuator. The haptic output device  700  is also configured to use quasi-static feedback control, also based on monitored values of the current  314   a  and/or the voltage  314   b  across the reluctance actuator  312 . 
     The control electronic components of the haptic output device  700  are configured to receive an intended force output or force trajectory  302  from a processor or other component of the electronic device. In the embodiment shown, the force trajectory  302  may be received by a correlator component  704  that may either be implemented as, or include, a LUT. The correlator component  704  may include a memory, which may be part of the LUT itself, and that includes one or more stored estimates of an inductance (L) of the reluctance actuator  312 . A received force trajectory  302  and the stored estimates of the inductance may be used by the correlator component  704  to provide the input parameter  705   a . In the embodiment shown, the input parameter  705   a  is an expected magnetic flux value (Φ) to occur in the reluctance actuator  312 . 
     The haptic output device  700  may include a controller element  706  that uses the expected magnetic flux  705   a  as a first input. The controller element  706  of the haptic output device  700  may be based solely on proportional control and not use feedback, or may be a proportional/integral/derivative (PID) controller that accepts a feedback signal  705   b . In the embodiment shown, the feedback signal  705   b  is an estimated value of the magnetic flux, as described further below. The expected magnetic flux  705   a  and the feedback signal  705   b  may be combined (by differencing, averaging, or another method) to produce the controller input signal  705   c  used by the controller element  706 . 
     The controller element  706  may provide a driver input value  707  that is used by the driver component  710 . The driver component  710  may be a current amplifier or other current based driver, and the driver input value  707  may then be a current value. In alternative embodiments, the driver component  710  may be a voltage amplifier or other voltage based driver, and the driver input value  707  may then be a voltage value. The driver component  710  causes the reluctance actuator  312  to actuate and produce the actual output force  315  that is transmitted to a surface of the electronic device containing the haptic output device  700 . 
     As described above, the current  314   a  and the voltage  314   b  of the reluctance actuator  312  may be measured or monitored during the actuation. The measured values of the current  314   a  and the voltage  314   b  may be used by the R/L estimation component  316 , as described above, to produce estimates  317  of the resistance R and the inductance L of the reluctance actuator  312 . The estimate  319  of the inductance L of the reluctance actuator  312  may then be used to adjust the LUT in the correlator component  704 . This adjustment may be made as a quasi-static method of control, such as by adjusting the LUT within the correlator component  704  after the actuation. 
     The haptic output device  700  may use real-time feedback control as well as, or as an alternative to, the quasi-static method of control, in which the measured value of at least one of the current  314   a  and the voltage  314   b  of the reluctance actuator  312  during the actuation are by a flux estimator  708  to produce the feedback signal  705   b . The feedback signal  705   b  may be an estimate of the magnetic flux produced in the reluctance actuator  312  during its actuation. The flux estimator  708  may also use the estimates  317  of the resistance R and of the inductance L of the reluctance actuator  312  to produce the estimate of the magnetic flux. The estimate of the magnetic flux may use parameters of the reluctance actuator known from manufacture, such as the cross-sectional area and number of windings. 
     In other embodiments, the feedback signal  705   b  giving the estimate of the magnetic flux may be provided directly by a magnetic flux sensor, such a Hall sensor, positioned near or in the reluctance actuator  312 . Additionally and/or alternatively, a gap distance sensor may be included in the reluctance actuator  312  to provide a measurement of the gap between the metallic plate and the electromagnet of the reluctance actuator  312 . 
       FIG.  8    is a block diagram of a method  800  for control of a force applied by a reluctance actuator, such as the reluctance actuator  200  of  FIGS.  2 A-B . The method  800  may be applied by an electronic device having the configurations of components and reluctance actuators as described previously, such as in relation to the embodiments of  FIGS.  3 - 7   . 
     At stage  802  a force trajectory or intended force output is received, such as by a control system or other electronic components controlling operation of a reluctance actuator. The intended force output may be provided to such a control system or components from a processor or another source, and may be based on an input received by the electronic device (such as a user input on a touch screen or other input mechanism) or on a state of the electronic device (such as an alarm time occurring). The intended force output may be different for different inputs to, or states of, the electronic device. 
     At stage  804 , the method  800  uses the intended force output as at least one input value to use with a correlator component, which may be implemented as a look up table (LUT). Though for simplicity the correlator component is described as a LUT, another implementation of a correlator component may be used. The LUT may be implemented as a two-dimensional array, needing two supplied selection input values to select or produce a single output. The LUT may use the received intended force output and a stored estimated value of an electronic parameter of the reluctance actuator. In some embodiments the stored estimated value may be an estimated value of the inductance of the reluctance actuator. 
     In other embodiments, the LUT may be implemented as a three- (or higher) dimensional array, needing the intended force output together with two (or more) stored estimates of electrical parameter values of the reluctance actuator. For example, a three-dimensional LUT may take in an intended force output, a value for an inductance of the reluctance actuator, and a value of a resistance of the reluctance actuator. 
     At stage  804 , the method  800  obtains an input parameter from the LUT, which may be a current, voltage, or magnetic flux signal, to use with electronic components that cause actuation of the reluctance actuator, such as an amplifier (e.g., voltage or current) or other form of actuator driver. The value of the input parameter from the LUT may be in a digital format that is read by the electronic components and used to produce an analog signal (e.g., voltage or current) that actuates the reluctance actuator. 
     At stage  806 , the value of the input parameter determined using the LUT is used by the electronic components that cause actuation of the reluctance actuator. The electronic components that cause actuation may also receive and use other input values, such as a value of magnetic flux being produced by the reluctance actuator, as part of actuating the reluctance actuator. As another example, the electronic components may receive a current limit value that prevents them from applying too large a current to the reluctance actuator. Such a current limit value may vary over time, based on a temperature of the electronic device or on a remaining charge in a battery. 
     At stage  808 , the method measures or monitors the voltage and/or current through the reluctance actuator. Based on the values of the voltage and/or current, parameters of the reluctance actuator are estimated. These parameters may be estimates for the force produced by the reluctance actuator during the actuation, an inductance and/or resistance of the reluctance actuator, or another parameter. 
     At stage  810 , the LUT can be updated if it is found, for example, that a measured or inferred force output produced by the reluctance actuator differs from the received force trajectory or intended force output, and what was expected based on the input parameter obtained in stage  804 . The LUT may also be updated if an estimated value of an inductance or resistance of the reluctance actuator, based on the measured voltage and/or current during the actuation, differs from respective values stored in the LUT. 
     The updated LUT may then be used with a subsequently received input force trajectory to improve accuracy of a subsequent force output by the reluctance actuator. 
       FIG.  9    is a flow chart of a method  900  for control of a force applied by a reluctance actuator. The method  900  may be applied by an electronic device having certain of the configurations of components and reluctance actuators as described previously in relation to  FIGS.  3 ,  6 , and  7    to implement real-time control of a force output by a reluctance actuator. The method  900  also may include actions to implement quasi-static control of the force output. 
     At stage  902 , a force trajectory or intended force output is received, such as by a control system or other electronic components controlling operation of a reluctance actuator. The intended force output may be provided to such a control system or components from a processor or another source, and may be based on an input received by the electronic device (such as a user input on a touch screen or other input mechanism) or on a state of the electronic device (such as an alarm time occurring). The intended force output may be different for different inputs to, or states of, the electronic device. 
     At stage  904 , the method  900  uses the intended force output as at least one input value to use with a correlator component, which may be implemented as a look up table (LUT). Though for simplicity the correlator component is described as a LUT, another implementation of a correlator component may be used. The LUT may be implemented as a two-dimensional array, needing two supplied input values or parameters to select or produce a single output. The LUT may use the received intended force output and a stored estimate of an electronic parameter value of the reluctance actuator. In some embodiments the stored estimate may be an estimated value of the inductance of the reluctance actuator. As discussed previously, the LUT may be a three- or even higher dimensional, depending on the number quantities needed to look up a corresponding output value. 
     At stage  904 , the method  900  also obtains an input parameter from the LUT, which may be a current, voltage, or magnetic flux signal, to use with electronic components that cause actuation of the reluctance actuator, such as an amplifier (e.g., voltage or current) or other form of actuator driver. The value of the input parameter from the LUT may be in a digital format that is read by the electronic components and used to produce an analog signal (e.g., voltage or current) that actuates the reluctance actuator. 
     At stage  906 , the input parameter obtained from the LUT is received as a first input to a controller element. The controller element may also receive a feedback parameter value as its second input. The feedback parameter may be a current, such as current  314   a , or may be a voltage, such as voltage  314   b , as described above. The controller element can use the two inputs separately, or as a combination, to determine a controller output value to be applied to a driver component of the reluctance actuator. 
     At stage  908 , the controller output value is applied by the driver component to actuate the reluctance actuator. The controller output value may be a current value, a voltage value, or another parameter value. 
     At stage  910 , parameter values of the reluctance actuator may be estimated based on operational measurements of the reluctance actuator during the actuation. Such parameter values may include an inductance, a resistance, internal capacitances, and the like. The operational measurements may be of a current, a voltage, a magnetic flux in or near the reluctance actuator, or another operational measurement. 
     The estimated parameter values of the reluctance actuator can then be used as feedback, either for quasi-static or real-time feedback. One or more of the determined parameter values may be used by the controller element as part of real-time feedback control of the reluctance actuator&#39;s output force, as indicated by the solid feedback line. 
     Additionally and/or alternatively, one or more determined parameter values of the reluctance actuator, such as an inductance, may be used to update the LUT. Such an update may be performed after the actuation to implement quasi-static control. 
     In some embodiments of stage  910 , additional operational measurements of the reluctance actuator may be obtained using sensors that do not directly measure the output force applied by the reluctance actuator. These additional operational measurements may include a measurement of a gap between a metallic plate and an electromagnet of the reluctance actuator. At stage  912 , during the actuation the gap measurement may be made, such as by a capacitive or another type of sensor. The additional operational measurements may further include a measurement of a magnetic flux within the reluctance actuator. At stage  914 , during the actuation the magnetic flux may be measured, such as by a Hall sensor mounted on the metallic plate. The magnetic flux sensor may be positioned on the metallic plate above the axis of the windings of the electromagnet. 
     Other examples and implementations are within the scope and spirit of the disclosure and appended claims. For example, features implementing functions may also be physically located at various positions, including being distributed such that portions of functions are implemented at different physical locations. Also, as used herein, including in the claims, “or” as used in a list of items prefaced by “at least one of” indicates a disjunctive list such that, for example, a list of “at least one of A, B, or C” means A or B or C or AB or AC or BC or ABC (i.e., A and B and C). Further, the term “exemplary” does not mean that the described example is preferred or better than other examples. 
     The foregoing description, for purposes of explanation, used specific nomenclature to provide a thorough understanding of the described embodiments. However, it will be apparent to one skilled in the art that the specific details are not required in order to practice the described embodiments. Thus, the foregoing descriptions of the specific embodiments described herein are presented for purposes of illustration and description. They are not targeted to be exhaustive or to limit the embodiments to the precise forms disclosed. It will be apparent to one of ordinary skill in the art that many modifications and variations are possible in view of the above teachings.

Metadata:
Filing Date: 20220630
Publication Date: 20230919
Grant Date: 20230919
Priority Date: 20190924
Inventors: AMIN-SHAHIDI, DARYA
VASUDEVAN, HARI
LEE, JUIL
CHEN, DENIS G.
Assignee: APPLE INC
CPC Classifications: [{"code": "G06F3/016", "inventive": true, "first": true, "tree": "[]"}, {"code": "H01F7/1844", "inventive": true, "first": true, "tree": "[]"}, {"code": "G06F3/03547", "inventive": true, "first": false, "tree": "[]"}, {"code": "H01F2007/1855", "inventive": false, "first": false, "tree": "[]"}, {"code": "H01F7/1844", "inventive": true, "first": false, "tree": "[]"}, {"code": "G06F3/046", "inventive": true, "first": false, "tree": "[]"}, {"code": "G06F3/016", "inventive": true, "first": false, "tree": "[]"}, {"code": "G06F3/041", "inventive": true, "first": false, "tree": "[]"}, {"code": "H01H2047/046", "inventive": false, "first": false, "tree": "[]"}, {"code": "H01F2007/1855", "inventive": false, "first": false, "tree": "[]"}, {"code": "H01F2007/1861", "inventive": false, "first": false, "tree": "[]"}, {"code": "H01F2007/185", "inventive": false, "first": false, "tree": "[]"}, {"code": "H02P25/08", "inventive": true, "first": false, "tree": "[]"}, {"code": "H02P25/092", "inventive": true, "first": false, "tree": "[]"}, {"code": "H01F7/1844", "inventive": true, "first": true, "tree": "[]"}, {"code": "G06F3/016", "inventive": true, "first": false, "tree": "[]"}, {"code": "G06F3/041", "inventive": true, "first": false, "tree": "[]"}, {"code": "H02P25/08", "inventive": true, "first": false, "tree": "[]"}, {"code": "H02P25/092", "inventive": true, "first": false, "tree": "[]"}, {"code": "H01F2007/185", "inventive": false, "first": false, "tree": "[]"}, {"code": "H01F2007/1855", "inventive": false, "first": false, "tree": "[]"}, {"code": "H01F2007/1861", "inventive": false, "first": false, "tree": "[]"}, {"code": "H01H2047/046", "inventive": false, "first": false, "tree": "[]"}]
Family ID: 74882218