# Patent

## Title
Rotational angle detecting apparatus and torque detecting apparatus

## Abstract

A rotational angle detecting apparatus, in which first targets and second targets, the number thereof is coprime with each other, are provided at the rotors rotating coaxially with each other. Rotational angle of the rotor is detected based on the detection signals from each of two sensors disposed opposite to the targets respectively, which output detection signals having phases different from each other as the rotor rotates. Based on a magnitude relation between one detection signal and the other detection signal from each of the two sensors, the range of the electrical angle of the other detection signals is determined. Relation between a detection signal and an electrical angle is stored in advance. Based on the determined electrical angle, and referring to the relation, the electrical angle of the other detection signal is obtained; thus, the rotational angle of the rotor is detected.

## Background
CROSS-REFERENCE TO RELATED APPLICATIONS
This Nonprovisional application claims priority under 35 U.S.C.§119(a) on Patent Application No. 2003-435522 filed in Japan on Dec. 26, 2003, the entire contents of which are hereby incorporated by reference.
BACKGROUND OF THE INVENTION
The present invention relates to a rotational angle detecting apparatus and a torque detecting apparatus comprising one or a plurality of targets provided at a rotor and a plurality of detection means disposed opposite to the targets, for outputting detection signals having phases different from each other in accordance with each position of the targets as the rotor rotates.
As a steering apparatus for automobiles, an electric power steering apparatus, which drives an electric motor to assist steering and reduce driver's load, is known. Such electric power steering apparatus comprises an input shaft joined to steering member (steering wheel), an output shaft joined to steerable wheels via a rack-and-pinion or the like and a connection shaft that connects the input shaft to the output shaft. On the basis of torsion angle, which is generated on the connection shaft, the torque sensor detects the steering torque applied to the input shaft. And on the basis of the steering torque detected by the torque sensor, the electric motor for assisting the steering, which is interlocked with the output shaft, is controlled to drive. The present applicant has proposed a rotational angle detecting apparatus and a torque detecting apparatus suitable for steering apparatus for automobiles (Japanese Patent Application Laid-Open No. 2003-83823).
Further, the present applicant has proposed a rotational angle detecting apparatus and a torque detecting apparatus equipped with the rotational angle detecting apparatus (torque sensor) (Japanese Patent Application No. 2003-344188). That is, the rotational angle detecting apparatus comprises two detection means, which are disposed respectively opposite to first targets provided at a rotor and second targets provided at the rotor, the number of the second targets is coprime with the number of the first targets; the two detection means output detection signals having phases different from each other as the rotor rotates. The rotational angle detecting apparatus further comprises calculating means for executing a predetermined calculation using the detection signals each outputted by the two detection means and storing means for storing the relation between the result of calculation executed by the calculating means in advance and the electrical angles of detection signals, in which, on the basis of the result of calculation executed by the calculating means and by referring to the storing means, an electrical angle of the detection signals is obtained, and on the basis of the obtained electrical angle, the rotational angle of the rotor is detected.
In the rotational angle detecting apparatus and the torque detecting apparatus disclosed in the above-mentioned Japanese Patent Application Laid-Open No. 2003-344188, for instance, one of the detection signals is approximated to a sine wave and the phase contrast is set to 90° (Accordingly, the other detection signal is approximated to cosine wave), the rotational angle θ is obtained from θ=tan−1θ=tan−1 (sin θ/cos θ). However, the detection signals include some errors such as ripples. When the calculation such as sin θ/cos θ is executed using the detection signals including the errors, the errors included in the result of the calculation become larger than the original errors. Therefore, there resides such a problem that rotational angle is hardly obtained precisely.
BRIEF SUMMARY OF THE INVENTION
The present invention has been proposed in view of the above-described problem, and an object thereof is to provide a rotational angle detecting apparatus capable of precisely obtaining rotational angle.
Another object of the present invention is to provide a torque detecting apparatus capable of precisely detecting torque value.
A rotational angle detecting apparatus according to the present invention comprises one or a plurality of first targets provided at a rotor, second targets provided at the rotor or another rotor rotating coaxially with the rotor, the number of which is coprime with the number of the first targets, and two detection means, disposed opposite to the first targets and second targets, for outputting detection signals having phases different from each other in accordance with each position of the first targets and the second targets as the rotor provided with the first targets rotates; whereby a rotational angle of the rotor is detected on the basis of the detection signals outputted by each of the detection means, characterized by comprising determination means for, on the basis of the magnitude relation between the detection signals outputted by each one of the respective two detection means disposed opposite to the first targets and the second targets and the detection signals outputted by each the other, determining the range of electrical angles of the detection signals outputted by each the other, storing means for storing a relation between the detection signal measured in advance and an electrical angle, obtaining means for, on the basis of the range of the electrical angles determined by the determination means and by referring to the storing means, obtaining electrical angle of each of the detection signals outputted by each the other, whereby the rotational angle of the rotor is detected on the basis of the electrical angle obtained by the obtaining means.
According to the rotational angle detecting apparatus of the present invention, since such a calculation that a large error is resulted in is not carried out, a rotational angle detecting apparatus capable of precisely obtaining rotational angle can be achieved.
A torque detecting apparatus according to the present invention comprises rotors coaxially provided to a first shaft and a second shaft connected via a connection shaft, one or a plurality of targets provided at the rotors, and two detection means, each disposed opposite to the targets, outputting detection signals having phases different from each other in accordance with each position of the targets as the rotors rotate; whereby the torque of the first shaft or the second shaft is detected on the basis of each of the detection signals outputted by the detection means, characterized by comprising determination means for, on the basis of the magnitude relation between the detection signals outputted by each one of the respective two detection means disposed opposite to the targets and the detection signals outputted by each the other, determining the range of electrical angles of the detection signals outputted by each the other, storing means for storing a relation between the detection signal measured in advance and an electrical angle, and obtaining means for, on the basis of the range of the electrical angle determined the determination means and by referring to the storing means, obtaining electrical angle of each of the detection signals outputted by each the other; whereby the torque is detected on the basis of the obtained electrical angle.
According to the torque detecting apparatus of the present invention, since such a calculation that a large error is resulted in is not carried out, a torque detecting apparatus capable of precisely obtaining torque value can be achieved.
The above and further objects and features of the invention will more fully be apparent from the following detailed description with accompanying drawings.



BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
FIG. 1 is a view schematically showing the constitution of a rotational angle detecting apparatus and a torque detecting apparatus according to an embodiment of the present invention;
FIG. 2 is a block diagram showing an example of the internal configuration of a calculation processing circuit;
FIGS. 3A–3C are diagrams each showing an example of waveform of detection signals detected by magnetometric sensors;
FIG. 4 is a diagram showing an example of waveform of detection signals detected by magnetometric sensors in which the number of opposite targets is different from each other;
FIG. 5 is a flowchart showing an example of operation of a calculation processing circuit;
FIG. 6 is a diagram showing contents of a table storing an example of relation between corrected detection signal measured in advance and electrical angle;
FIG. 7 is a flowchart showing an example of operation of the calculation processing circuit;
FIGS. 8 are diagrams showing an example of operation of a steering angle calculating section;
FIG. 9 is a diagram showing an example of operation of a torque calculating section;
FIG. 10 is a diagram showing an example of torque value outputted by the torque calculating section;
FIG. 11 is a flowchart showing an example of operation of the calculation processing circuit; and
FIG. 12 is a diagram showing an example of absolute steering angle outputted an absolute steering angle calculating section.



DETAILED DESCRIPTION OF THE INVENTION
Hereinafter, referring to the drawings showing the embodiments, the present invention will be described in detail.
FIG. 1 is a view schematically showing the constitution of a rotational angle detecting apparatus and a torque detecting apparatus according to an embodiment of the present invention. The rotational angle detecting apparatus and the torque sensor 4 (torque detecting apparatus) comprise an input shaft 6 (rotor, first shaft) of which upper end is joined to a steering member 1 (steering wheel) and an output shaft 7 (rotor, second shaft) of which lower end is joined to a pinion 8 of a steering mechanism. The input shaft 6 and the output shaft 7 are coaxially joined to each other being interposed by a torsion bar 9 (connection shaft) of a small diameter. Thus, a steering shaft 13, which connects the steering member 1 to the steering mechanism, is structured. The vicinity of the connecting section between the input shaft 6 and the output shaft 7 is structured as described below.
In the vicinity of the outer end of the connecting section between the input shaft 6 and the output shaft 7, fitted coaxially with the input shaft 6 on the outer side thereof is a target plate 12a in the shape of a disk. On the peripheral surface of the target plate 12a, pluralities of projecting targets 3a formed of magnetic material; i.e., for instance, 37 projections are formed being projected at the same intervals in a circumferential direction. The target 3a comprises a plurality of teeth of a spur gear. The spur gears in the shape of a ring form the target plate 12a and the targets 3a. 
In the vicinity of the outer end of the connecting section between the input shaft 6 and the output shaft 7, fitted coaxially with the output shaft 7 on the outer side thereof are target plates 12b and 12c (rotors) in the shape of a disk respectively with the target plate 12b at the input shaft 6 side. On the peripheral surface of the target plate 12b, pluralities of projecting targets 3b formed of a magnetic material; i.e., 37 projections same as those of the targets 3a are formed at the same intervals being aligned with the targets 3a in a circumferential direction. On the peripheral surface of the target plate 12c, projections formed of a magnetic material; number of targets 3c coprime with the number of the targets 3b, which are, for instance, 36 projections are formed being projecting at the same intervals in a circumferential direction. Here, the wording “number coprime with each other” means a number, which does not have any common denominator other than 1. The targets 3b and 3c comprise teeth of the spur gears. The spur gears in the shape of a ring form the target plates 12b, 12c and the targets 3b, 3c. 
Disposed at the outer side of the target plates 12a, 12b and 12c is a sensor box 11 being faced to the outer edge of the targets 3a, 3b and 3c on the periphery thereof. The sensor box 11 is fixed and supported by an immobile part such as a housing (not shown), which receives and supports the input shaft 6 and the output shaft 7. Inside the sensor box 11, magnetometric sensors A and B (detection means), which respectively face to the portions different from each other in the circumferential direction of the target 3a at the input shaft 6 side, and magnetometric sensors C and D (detection means), which face to the portions different from each other in the circumferential direction of the target 3b at the output shaft 7 side are received with positions thereof correctly aligned in the circumferential direction. Further, magnetometric sensors E and F (detection means), which face to the portions different from each other in the circumferential direction of the targets 3c at the output shaft 7 side, are received.
The magnetometric sensors A, B, C, D, E and F are the sensors formed of an element such as magneto resistive effect element (MR element) or the like, which has such characteristic that the electric characteristic (resistance) changes due to the influence of the magnetic field, whereby the detection signal changes in accordance with a change in an adjacent portion of the target 3a, 3b or 3c which the magnetometric sensor opposes. These detection signals are given to a calculation processing circuit 10 comprising a microprocessor provided outside or inside the sensor box 11.
FIG. 2 is a block diagram showing an example of the internal configuration of the calculation processing circuit 10. The calculation processing circuit 10 comprises an A/D conversion section 10a that performs analog/digital conversion of the detection signals VA, VB, VC, VD, VE, and VF respectively, which are outputted by the magnetometric sensors A, B, C, D, E and F, and a sensor output correction section 10b that corrects the detection signals VA, VB, VC, VD, VE, and VF after the analog/digital conversion-and outputs the corrected detection signals VA′, VB′, VC′, VD′, VE′, and VF′.
The calculation processing circuit 10 also comprises a steering angle calculating section 10c that includes a table (storing means) storing the relation between the corrected detection signals VA′ and VB′, which are actually measured in advance before shipment from plant, and the electrical angle; a table (storing means) storing the relation between the corrected detection signals VC′ and VD′ and the electrical angle; and a table (storing means) storing the relation between the corrected detection signals VE′ and VF′ and the electrical angle, and outputs electrical angles θAB, θCD, and θEF of the input shaft 6 and the output shaft 7 on the basis of the corrected detection signals VA′, VB′, VC′, VD′, VE′ and VF′.
Further, the calculation processing circuit 10 comprises a torque calculating section 10d that calculates and outputs the torque value between the input shaft 6 and the output shaft 7 on the basis of the electrical angle θAB and θCD, an absolute steering angle calculating section 10e that includes a table 14 for storing the absolute steering angles when the output shaft 7 turns and the electrical angles θCD and θEF (electrical angles of the targets 3b and 3c) while connecting to each other and calculates and outputs the absolute steering angle of the output shaft 7 on the basis of the electrical angles θCD and θEF, and a fail safe section 10f that determines whether or not any failure has occurred on the basis of the signals from the A/D conversion section 10a and the sensor output correction section 10b, and when a failure has occurred, outputs a fail signal.
In the torque sensor 4, which has the constitution as described above, as shown in FIGS. 3A, 3B and 3C, each of the magnetometric sensors A, B, C, D, E and F outputs detection signal similar to a sine wave, which rises and lowers in accordance with the changes in the rotational angle of the input shaft 6 and the output shaft 7 while the corresponding targets 3a, 3b and 3c pass through the points opposite to each of the sensors. The detection signals from the magnetometric sensors A and B correspond to the rotational angle of the input shaft 6, to which the targets 3a corresponding to the sensors A and B is provided; the detection signals of the magnetometric sensors C and D correspond to the rotational angle of the output shaft 7, to which targets 3b corresponding to the sensors C and D is provided; and the detection signals of the magnetometric sensors E and F correspond to the rotational angle of the output shaft 7, to which targets 3c opposite to the sensors E and F are provided.
Accordingly, the calculation processing circuit 10 can calculate the relative rotation angle of the input shaft 6 on the basis of the detection signals of the magnetometric sensors A and B; thus, the calculation processing circuit 10 and the magnetometric sensors A and B operate as a rotational angle detecting apparatus of the input shaft 6. Also, the calculation processing circuit 10 can calculate the relative rotation angle of the output shaft 7 on the basis of the detection signals of the magnetometric sensors C and D; thus, the calculation processing circuit 10 and the magnetometric sensors C and D operate as a rotational angle detecting apparatus of the output shaft 7.
When a torque is applied to the input shaft 6, a difference is generated between each of the detection signals of the magnetometric sensors A and B and each of the detection signals of the magnetometric sensors C and D. Between the magnetometric sensors A and C and the magnetometric sensors B and D, the phases thereof are arranged so as to be different from each other by, for instance, electrical angle 90° in the circumferential direction of the target plates 12a and 12b.In each of the detection signals, non-linear rate of change becomes the maximum at the points of the relative maximum value and the relative minimum value, which are the changing points between the rising and the lowering. However, since the phases are different from each other, both can complement each other. If the complement is possible, the phase angles, which are different from each other, may be set to any electrical angle from 1° to 360° or less.
Here, the difference between the detection signal of the magnetometric sensor A and the detection signal of the magnetometric sensor C, or the difference between the detection signal of the magnetometric sensor B and the detection signal of the magnetometric sensor D corresponds to the difference between the rotational angles of the input shaft 6 and the output shaft 7 (relative angular displacement). The relative angular displacement corresponds to the torsion angle generated on the torsion bar 9 connecting the input shaft 6 and the output shaft 7 under the influence of the torque applied to the input shaft 6. Accordingly, on the basis of the difference among the above-described detection signals, the torque applied to the input shaft 6 can be calculated.
Same as the magnetometric sensors C and D, the magnetometric sensors E and F are different from each other in phase by electrical angle 90° in the circumferential direction of the target plate 12c.While the number of the targets 3b opposite to the magnetometric sensor C and the magnetometric sensor D is 37, the number of the targets 3c opposite to the magnetometric sensor E and the magnetometric sensor F is 36. Accordingly, as shown in FIG. 4, every time when the output shaft 7 performs 1 phase rotation, the magnetometric sensors C, E and the magnetometric sensors D, F output detection signals of which phases displace each other by 1/37 phases each.
In the case where magnetometric sensors C, E only or magnetometric sensors D, F only are provided, as shown in FIG. 4, while the output shaft 7 rotates 360°, a set, which has the same value of detection signals, appears twice. Accordingly, the rotational angle (absolute rotation angle) of the output shaft 7 cannot be determined. However, by referring to the electrical angles θCD and θEF (electrical angles of the targets 3b and 3c) in the table 14, the rotational angle of the output shaft 7 can be determined.
Referring to the flowcharts shown in FIGS. 5, 7 and 11, the operation of an electric power steering apparatus, which has the constitution as described above, will be described below. FIG. 5 is a flowchart showing the operation for obtaining an electrical angle of each of the detection signals of magnetometric sensors A and B using a table storing a relation between the corrected detection signals VA′ and VB′ shown in FIG. 6, which are measured in advance before shipment from plant, and the electrical angles. This flowchart can be applied to the operation for obtaining the electrical angle of the detection signals from the magnetometric sensors C and D and the magnetometric sensors E and F. To obtain the detection signals of the magnetometric sensors C and D and the magnetometric sensors E and F, the respective tables same as that shown in FIG. 6 are used.
First of all, the calculation processing circuit 10 reads detection signals VA, VB from the magnetometric sensors A, B (S1), then in the sensor output correction section 10b, a routine, in which each p—p value Vpp (peak-to-peak value) of the respective detection signals and the intermediate value Vmid thereof are learned and calculated, is executed (S2). When the intermediate value VmidA, VmidB of each detection signal has not been calculated (S3), the procedure is returned. When the intermediate value VmidA, VmidB of each detection signal has been calculated (S3), the sensor output correction section 10b calculates VA′=VA−VmidA and VB′=VB′−VmidB, and converts detection signals VA and VB to detection signals VA′ to VB′ when the intermediate value is 0 (S4).
Then, the calculation processing circuit 10 compares the magnitude of the absolute values |VA′| and |VB′| of the detection signals VA′ and VB′ in the steering angle calculating section 10c (S5). Here, in the zones I to IV in the table shown in FIG. 6, the zones, where the |VA′| is larger, are zone I and zone III. When |VA′| is larger (S5), the steering angle calculating section 10c compares the magnitude of the detection signals VA′ and VB′, and determines in which zone I or zone III the detection signals VA′ and VB′ are included (S6).
When the VA′ is larger (S6), the steering angle calculating section 10c determines that the detection signal VA′ resides in zone III, and refers to zone III, to search (S7) and obtain (S9) electrical angle θAB of the detection signal VA′, and the procedure is returned. If the phase (at the center of steering angle) of the magnetometric sensor used for calculating the torque or steering angle the same as the phase of the magnetometric sensor at the output shaft 7 side, the electrical angle θAB of the detection signal VB′ may be used in place of the electrical angle θAB of the detection signal VA′.
When the VB′ is larger (S6), the steering angle calculating section 10c determines that the detection signal VA′ resides in the zone I, and refers to the zone I to search (S8) and obtain (S9) the electrical angle θAB of the detection signal VA′ and the procedure is returned.
The steering angle calculating section 10c compares the magnitude of the absolute values |VA′| and |VB′| of the detection signals VA′ and VB′ (S5), and when the |VB′| is larger, the steering angle calculating section 10c compares the magnitude of the detection signals VA′ and VB′ to determine which zone; i.e., the zone II or the zone IV, the detection signal VA′ resides in (S10). As shown in FIG. 6, the zone, where the |VB′| is larger, is the zone II and the zone IV.
When the VA′ is larger (S10), the steering angle calculating section 10c determines that the detection signal VA′ resides in the zone II, and refers to the zone II to search (S11) and obtain (S9) the electrical angle θAB of the detection signal VA′, and the procedure is returned. When the VB′ is larger (S10), the steering angle calculating section 10c determines that the detection signal VA′ resides in the zone IV, and refers to the zone IV to search (S12) and obtain (S9) the electrical angle θAB of the detection signal VA′ and the procedure is returned. By carrying out the above steps, as shown in FIG. 8, on the basis of the detection signals VA′ and VB′, the rotational angle (steering angle) of the input shaft 6 can be obtained.
FIG. 7 is a flowchart showing the operation for detecting the torque using the table in FIG. 6. First of all, in accordance with the flowchart in FIG. 5, the calculation processing circuit 10 obtains the electrical angle θAB of the magnetometric sensor A from the detection signals VA and VB of the magnetometric sensors A and B in the steering angle calculating section 10c (S20). And then, in the same manner, on the basis of the detection signals VC and VD of the magnetometric sensors C and D, the electrical angle θCD of the magnetometric sensor C is obtained (S21). Then, the calculation processing circuit 10 calculates torque=k(θAB−θCD) (k is a spring constant of the torsion bar 9), as shown in FIG. 9, calculates torque value as shown in FIG. 10 from the difference of the electrical angles in the torque calculating section 10d (S22) and outputs the calculated torque value (S23), and the procedure is returned.
FIG. 11 is a flowchart showing the operation for detecting the absolute steering angle using the table in FIG. 6. First of all, in the same manner as the flowchart in the above FIG. 5, the calculation processing circuit 10 obtains the electrical angle θCD of the detection signal VC from the detection signals VC and VD of the magnetometric sensors C and D in the steering angle calculating section 10c (S25). Then, in the same manner, the electrical angle θEF of the detection signal VE is obtained from the detection signals VE and VF of the magnetometric sensors E and F (S26). Then, the calculation processing circuit 10 refers to the table 14 with respect to the electrical angles θCD and θEF in the absolute steering angle calculating section 10e (S27), as shown in FIG. 12, detects the absolute steering angle corresponding to the electrical angles θCD and θEF (S28) and outputs the detected absolute steering angle signal (S29), and the procedure is returned.
As this invention may be embodied in several forms without departing from the spirit of essential characteristics thereof, the present embodiment is therefore illustrative and not restrictive, since the scope of the invention is defined by the appended claims rather than by the description preceding them, and all changes that fall within metes and bounds of the claims, or equivalence of such metes and bounds thereof are therefore intended to be embraced by the claims.

## Claims

1. A rotational angle detecting apparatus for detecting a rotational angle of a rotor, comprising:
one or a plurality of first targets provided at the rotor;
second targets provided at the rotor or another rotor rotating coaxially with the rotor, the number of which is coprime with the number of the first targets;
two sensors C, D, disposed opposite to the first targets, for outputting detection signals VC, VD having phases different from each other in accordance with each position of the first targets as the rotor provided with the first targets rotates;
two sensors E, F, disposed opposite to the second targets, for outputting detection signals VE, VF having phases different from each other in accordance with each position of the second targets as the rotor provided with the second targets rotates; and
a calculation processing circuit including:
a table that stores predetermined data relating values of corrected detection signals VC′, VC′ and VE′, VF′ and detected signal phase zones ZCD, ZEF to electrical angles θCD, θEF, respectively;
a sensor output correction section that calculates intermediate values VmidC, VmidD, VmidE, VmidF from peak-to-peak values for detection signals VC, VD, VE, VF respectively, and calculates corrected detection signals VC′, VD′, VE′, VF′ from VmidC, VmidD, VmidE, VmidF and point values of VC, VD, VE, VF, respectively;
a steering angle calculating section that compares the magnitudes of the absolute values of corrected detection signals VC′, VD′, compares the magnitudes of the absolute values of corrected detection signals VE′, VF′, compares the magnitudes of corrected detection signals VC′, VD′, compares the magnitudes of corrected detection signals VE′, VF′, determines signal phase zones ZCD, ZEF for corrected detection signals VC′, VD′ and VE′, VF′, respectively, based on the results of the comparisons, and retrieves values for the electrical angles θCD and θEF from the table based on the determined signal phase zones ZCD, ZEF, and corrected detection signals VC′, VD′ and VE′, VF′, respectively; and
an absolute steering angle calculating section that detects the rotational angle of the rotor on the basis of the obtained electrical angles θCD, θEF.

2. The rotational angle detecting apparatus according to claim 1, wherein the rotor is a gear having teeth made of magnetic material, which are arranged on a peripheral surface of the rotor at regular intervals, as the first targets or second targets.

3. The rotational angle detecting apparatus according to claim 2, wherein the sensors are magnetometric sensors using an element having such a characteristic that the electrical characteristic changes due to the influence of the magnetic field.

4. A rotational angle detecting apparatus, comprising:
one or a plurality of first targets provided at a rotor;
second targets provided at the rotor or another rotor rotating coaxially with the rotor, the number of which is coprime with the number of the first targets;
two detection means C, D, disposed opposite to the first targets, for outputting detection signals VC, VD having phases different from each other in accordance with each position of the first targets as the rotor provided with the first targets rotates;
two detection means E, F, disposed opposite to the second targets, for outputting detection signals VE, VF having phases different from each other in accordance with each position of the second targets as the rotor provided with the second targets rotates;
storing means storing predetermined data relating values of corrected detection signals VC′, VD′ and VE′, VF′ and detected signal phase zones ZCD, ZEF to electrical angles θCD and θEF, respectively;
determination means for calculating intermediate values VmidC, VmidD, VmidE, VmidF from peak-to-peak values for detection signals VC, VD, VE, VF respectively, calculating corrected detection signals VC′, VD′, VE′, VD′ from VmidC, VmidD, VmidE, VmidF and point values of VC, VD, VE, VF, respectively, comparing the magnitudes of the absolute values of corrected detection signals VC′, VD′, comparing the magnitudes of the absolute values of corrected detection signals VE′, VF′, comparing the magnitudes of corrected detection signals VC′, VD′, comparing the magnitudes of corrected detection signals VE′, VF′, and determining phase zones ZCD, ZEF for corrected detection signals VC′, VD′ and VE′, VF′, respectively, based on the results of the comparisons;
obtaining means for retrieving values for the electrical angles θCD and θEF from the table based on the determined phase zones ZCD, ZEF and corrected detection signals VC′, VD′, and VE′, VF′, respectively,; and
rotational angle detection means for detecting the rotational angle of the rotor on the basis of the electrical angles θCD, θEF obtained by the obtaining means.

5. A torque detecting apparatus for detecting a torque applied to a first shaft or a second shaft which is connected to the first shaft via a connection shaft, comprising:
a first rotor coaxially provided to the first shaft;
a second rotor coaxially provided to the second shaft;
one or a plurality of first targets provided at the first rotor;
one or a plurality of second targets provided at the second rotor;
two sensors A, B, disposed opposite to the first targets, for outputting detection signals VA, VB having phases different from each other in accordance with each position of the first targets as the first rotor rotates;
two sensors C, D, disposed opposite to the second targets, for outputting detection signals VC, VD having phases different from each other in accordance with each position of the second targets as the second rotor rotates;
a calculation processing circuit including:
a table that stores predetermined data relating values of corrected detection signals VA′, VB′ and VC′, VD′ and a detected signal phase zone Z to electrical angles θAB and θCD, respectively;
a sensor output correction section that calculates intermediate values VmidA, VmidB, VmidC, VmidD from peak-to-peak values for detection signals VA, VB, VC, VD respectively, and calculates corrected detection signals VA′, VB′, VC′, VD′ from VmidA, VmidB, VmidC, VmidD and point values of VA, VB, VC, VD, respectively;
a steering angle calculating section that compares the magnitudes of the absolute values of corrected detection signals VA′, VB′, compares the magnitudes of the absolute values of corrected detection signals VC′, VD′, compares the magnitudes of corrected detection signals VA′, VB′, compares the magnitudes of corrected detection signals VC′, VD′, determines phase zones ZAB, ZCD for corrected detection signals VA′, VB′ and VC′, VD′, respectively, based on the results of the comparisons, and retrieves values for the electrical angles θAB and θCD from the table based on the determined phase zones ZAB, ZCD and corrected detection signals VA′, VB′ and VC′, VD′, respectively; and
a torque calculating section that detects the torque applied to the first shaft or second shaft on the basis of the obtained electrical angles θAB, θCD.

6. The torque detecting apparatus according to claim 5, wherein the rotors are gears having teeth made of magnetic material, which are arranged on peripheral surfaces of the rotors at regular intervals, as the first targets or second targets.

7. The torque detecting apparatus according to claim 6, wherein the sensors are magnetometric sensors using an element having such a characteristic that the electrical characteristic changes due to the influence of the magnetic field.

8. A torque detecting apparatus, comprising:
rotors coaxially provided to a first shaft and a second shaft connected via a connection shaft;
one or a plurality of targets provided at each of the rotors;
two detection means A, B, disposed opposite to the first targets, for outputting detection signals VA, VB having phases different from each other in accordance with each position of the first targets as the rotor provided with the first targets rotates;
two detection means C, D, disposed opposite to the second targets, for outputting detection signals VC, VD having phases different from each other in accordance with each position of the second targets as the rotor provided with the second targets rotates;
storing means storing predetermined data relating values of corrected detection signals VA′, VB′ and VC′, VD′ and a detected signal phase zone Z to electrical angles θAB and θCD, respectively;
determination means for calculating intermediate values VmidA, VmidB, VmidC, VmidD from peak-to-peak values for detection signals VA, VB, VC, VD respectively, calculating corrected detection signals VA′, VB′, VC′, VD′ from VmidA, VmidB, VmidC, VmidD and point values of VA, VB, VC, VD, respectively, comparing the magnitudes of the absolute values of corrected detection signals VA′, VB′, comparing the magnitudes of the absolute values of corrected detection signals VC′, VD′, comparing the magnitudes of corrected detection signals VA′, VB′, comparing the magnitudes of corrected detection signals VC′, VD′, and determining phase zones ZAB, ZCD for corrected detection signals VA′, VB′ and VC′, VD′, respectively, based on the results of the comparisons;
obtaining means for retrieving values for the electrical angles θAB and θCD from the table based on the determined phase zones ZAB, ZCD and corrected detection signals VA′, VB′ and VC′, VD′, respectively,; and torque detecting means for detecting the torque applied to the first shaft or the second shaft on the basis of the electrical angle angles θAB, θCD obtained by the obtaining means.

9. A method for detecting a rotational angle of a rotor, wherein the rotor has one or a plurality of first targets provided at the rotor and second targets provided at the rotor or another rotor rotating coaxially with the rotor, the number of which is coprime with the number of the first targets, the method comprising the steps of
(a) outputting detection signals VC, VD from sensors C, D, disposed opposite to the first targets having phases different from each other in accordance with each position of the first targets as the rotor provided with the first targets rotates;
(b) outputting detection signals VE, VF from sensors E, F, disposed opposite to the second targets having phases different from each other in accordance with each position of the second targets as the rotor provided with the second targets rotates;
(c) storing predetermined data relating values of corrected detection signals VC′, VD′ and VE′, VF′ and a detected signal phase zone Z to electrical angles θCD and θEF, respectively, in a table;
(d) calculating intermediate values VmidC, VmidD, from peak-to-peak values for detection signals VC, VD, respectively;
(e) calculating corrected detection signals VC′, VD′, from VmidC, VmidD, and coincidently-measured values of VC, VD, respectively;
(f) comparing the magnitudes of the absolute values of corrected detection signals VC′, VD′;
(g) comparing the magnitudes of corrected detection signals VC′, VD′;
(h) determining a phase zone ZCD for corrected detection signals VC′, VD′, based on the results from the comparison steps;
(i) retrieving a value for the electrical angle θCD from the table based on the determined phase zone ZCD and corrected detection signals VC′, VD′;
(j) repeating the steps (d) through (i) for detection signals VE, VF to retrieve a value for the electrical angle θEF from the table based on a second determined phase zone ZEF and corrected detection signals VE′, VF′; and (k) detecting the torque applied to the first shaft or the second shaft on the basis of the obtained electrical angles θCD, θEF.

10. A method for detecting a torque applied to a first shaft or a second shaft which is connected to the first shaft via a connection shaft, wherein a first rotor is coaxially applied to the first shaft and a second rotor is coaxially applied to the second shaft, one or a plurality of first targets are provided at the first rotor and one or a plurality of second targets are provided at the second rotor, the method comprising the steps of
(a) outputting detection signals VA, VB from sensors A, B, disposed opposite to the first targets having phases different from each other in accordance with each position of the first targets as the rotor provided with the first targets rotates;
(b) outputting detection signals VC, VD from sensors C, D, disposed opposite to the second targets having phases different from each other in accordance with each position of the second targets as the rotor provided with the second targets rotates;
(c) storing predetermined data relating values of corrected detection signals VA′, VB′ and VC′, VD′ and a detected signal phase zone Z to electrical angles θAB and θC, respectively, in a table;
(d) calculating intermediate values VmidA, VmidB, from peak-to-peak values for detection signals VA, VB, respectively;
(e) calculating corrected detection signals VA′, VB′, from VmidA, VmidB, and coincidently-measured values of VA, VB, respectively;
(f) comparing the magnitudes of the absolute values of corrected detection signals VA′, VB′;
(g) comparing the magnitudes of corrected detection signals VA′, VB′;
(h) determining a phase zone ZAB for corrected detection signals VA′, VB′ based on the results from the comparison steps;
(i) retrieving a value for the electrical angle θAB from the table based on the determined phase zone ZAB and corrected detection signals VA′, VB′;
(j) repeating the steps (d) through (i) for detection signals VC, VD to retrieve a value for the electrical angle θCD from the table based on a second determined phase zone ZCD and corrected detection signals VC′, VD′; and (k) detecting the rotational angle of the rotor on the basis of the obtained electrical angles θAB, θCD.