h filtering for fuzzy systems with immeasurable premise variables an uncertain system approach this paper discusses a design of stable filters with h disturbance attenuation of takagi sugeno fuzzy systems with immeasurable premise variables when we consider the filter design of takagi sugeno fuzzy systems the selection of premise variables plays an important role if the premise variable is the state of the system then a fuzzy system describes a wide class of nonlinear systems in this case however a filter design of fuzzy systems based on parallel distributed compensator idea is infeasible to avoid such a difficulty we consider the premise variables uncertainties then we consider a robust h filtering problem for such an uncertain system a solution of the problem is given in terms of linear matrix inequalities lmis some numerical examples are given to illustrate our theory

nonquadratic stabilization conditions for a class of uncertain nonlinear discrete time ts fuzzy models a new approach the discrete time uncertain nonlinear models are considered in a takagi sugeno form and their stabilization is studied through a non quadratic lyapunov function the classical conditions consider a one sample variation here the main results are obtained considering k samples variation i e deltak v x t v x t k v x t the results are shown to always include the classical cases and several examples illustrate the effectiveness of the approach

fuzzy filter design for ito stochastic systems with application to sensor fault detection the paper deals with the robust fault detection problem for takagi sugeno t s fuzzy ito stochastic systems our aim is to develop a robust fault detection approach to the t s fuzzy systems with brownian motion by using a general observer based fault detection filter as a residual generator the robust fault detection is formulated as a filtering problem attention is focused on the design of both the fuzzy rule independent and the fuzzy rule dependent fault detection filters guaranteeing a prescribed noise attenuation level in an hinfin sense sufficient conditions are proposed to guarantee the mean square asymptotic stability with an hinfin performance for the fault detection system the corresponding solvability conditions for the desired fuzzy rule independent and fuzzy rule dependent fault detection filters are also established finally a numerical example is provided to illustrate the effectiveness of the proposed theory

a finite element approach combining a reduced order system pade approximants and an adaptive frequency windowing for fast multi frequency solution of poro acoustic problems in this work a solution strategy is investigated for the resolution of multi frequency structural acoustic problems including 3d modeling of poroelastic materials the finite element method is used together with a combination of a modal based reduction of the poroelastic domain and a pade based reconstruction approach it thus takes advantage of the reduced size of the problem while further improving the computational efficiency by limiting the number of frequency resolutions of the full sized problem an adaptive procedure is proposed for the discretization of the frequency range into frequency intervals of reconstructed solution the validation is presented on a 3d poro acoustic example

brief paper fault tolerant control for a class of nonlinear sampled data systems via a euler approximate observer in this paper a fault tolerant control ftc scheme is developed for a class of nonlinear sampled data systems first a euler approximate discrete model is used to describe the plant under the sampling under this model an observer based fault estimation method is proposed to guarantee the accuracy of both the state and fault estimation values the conditions to make the approximate model consistent with the exact model are presented then an active fault tolerant controller which has a constraint condition for the sampling time is designed to make the faulty system stable finally an inverted pendulum is used to show the efficiency of the proposed method

piezoelectric structural acoustic problems symmetric variational formulations and finite element results this paper presents an original symmetric finite element formulation for piezoelectric structural acoustic coupled problems first an unsymmetric variational formulation in terms of structure displacement electric potential and fluid pressure field is proposed then through the introduction of an additional variable namely fluid displacement potential a symmetric finite element formulation is presented finally after a rigorous condensation procedure and using the fluid added mass and piezoelectric added stiffness concepts a reduced symmetric formulation is obtained some numerical examples concerning axisymmetric elastic piezoelectric structures filled with internal compressible fluid are presented in order to validate the proposed formulation

control synthesis of discrete time t s fuzzy systems based on a novel non pdc control scheme this paper proposes relaxed stabilization conditions of discrete time nonlinear systems in the takagi sugeno t s fuzzy form by using the algebraic property of fuzzy membership functions a novel nonparallel distributed compensation non pdc control scheme is proposed based on a new class of fuzzy lyapunov functions thus relaxed stabilization conditions for the underlying closed loop fuzzy system are developed by applying a new slack variable technique in particular some existing fuzzy lyapunov functions and non pdc control schemes are special cases of the new lyapunov function and fuzzy control scheme respectively finally two numerical examples are provided to illustrate the effectiveness of the proposed method

robust h sub spl infin control for uncertain discrete time delay fuzzy systems via output feedback controllers this work investigates the problem of robust output feedback h sub spl infin control for a class of uncertain discrete time fuzzy systems with time delays the state space takagi sugeno fuzzy model with time delays and norm bounded parameter uncertainties is adopted the purpose is the design of a full order fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed loop system and guarantees an h sub spl infin norm bound constraint on disturbance attenuation for all admissible uncertainties in terms of linear matrix inequalities lmis a sufficient condition for the solvability of this problem is presented explicit expressions of a desired output feedback controller are proposed when the given lmis are feasible the effectiveness and the applicability of the proposed design approach are demonstrated by applying this to the problem of robust h sub spl infin control for a class of uncertain nonlinear discrete delay systems

modelling and numerical solution of elastoacoustic vibrations with interface damping a finite element method is applied to compute the vibrations of an elastoacoustic system subject to an external harmonic excitation the effect of a thin layer of noise damping material between the fluid and the solid is taken into account by relaxing the interface kinematic condition of perfect contact we consider the non linear eigenvalue problem arising from the free vibration problem for the damped system for the case of a fluid in a rectangular rigid cavity with one absorbing wall we deduce the dispersion equation which allows computing analytically its eigenvalues and eigenmodes and compare the numerical solution with them finally we apply the finite element method to assess the effect of introducing a real viscoelastic material to damp the elastoacoustic vibrations of a coupled system copyright 1999 john wiley sons ltd

fault detection for fuzzy systems with intermittent measurements this paper investigates the problem of fault detection for takagi sugeno t s fuzzy systems with intermittent measurements the communication links between the plant and the fault detection filter are assumed to be imperfect i e data packet dropouts occur intermittently which appear typically in a network environment and a stochastic variable satisfying the bernoulli random binary distribution is utilized to model the unreliable communication links the aim is to design a fuzzy fault detection filter such that for all data missing conditions the residual system is stochastically stable and preserves a guaranteed performance the problem is solved through a basis dependent lyapunov function method which is less conservative than the quadratic approach the results are also extended to t s fuzzy systems with time varying parameter uncertainties all the results are formulated in the form of linear matrix inequalities which can be readily solved via standard numerical software two examples are provided to illustrate the usefulness and applicability of the developed theoretical results

h_ infty filter design for a class of networked control systems via t s fuzzy model approach this paper is concerned with h design for a class of networked control systems ncss with multiple state delays via the takagi sugeno t s fuzzy model the transfer delays and packet loss that are induced by the limited bandwidth of communication networks are considered the focus of this paper is on the analysis and design of a full order h filter such that the filtering error dynamics are stochastically stable and a prescribed h attenuation level is guaranteed sufficient conditions are established for the existence of the desired filter in terms of linear matrix inequalities lmis an example is given to illustrate the effectiveness and applicability of the proposed design method

observable operator models for discrete stochastic time series a widely used class of models for stochastic systems is hidden markov models systems that can be modeled by hidden markov models are a proper subclass of linearly dependent processes a class of s

an efficient finite element scheme for solving the three dimensional poroelasticity problem in acoustics in this paper the finite element method fem is used to solve the three dimensional poroelasticity problem in acoustics based on the isotropic biot allard theory a displacement finite element model is derived using the lagrangian approach together with an analogy with solid elements from this model it is seen that the damping and stiffness matrices of the poroelastic media are complex and frequency dependent this leads to cumbersome calculations for large finite element models and spectral analyses to overcome this difficulty an efficient algorithm is proposed it is based on low frequency approximations of the frequency dependent dissipation mechanisms in poroelastic media this efficient algorithm allows the poroelastic materials to be modeled with classical fem codes also the acoustic poroelastic and the poroelastic poroelastic coupling conditions are presented the proposed model is compared to existing literature for both two dimensional and three dimensional problems excellent compari

efficient modeling of flat and homogeneous acoustic treatments for vibroacoustic finite element analysis direct field formulations abstract this paper is concerned with the development of a simplified model for noise control treatments to speed up finite element analysis in vibroacoustic applications the methodology relies on the assumption that the acoustic treatment is flat and homogeneous moreover its finite lateral extent is neglected this hypothesis is justified by short wavelength and large dissipation which suggest that the reflected field emanating from the acoustic treatment lateral boundaries does not substantially affect its dynamic response under these circumstances the response of the noise control treatment can be formally obtained by means of convolution integrals involving simple analytical kernels i e green functions such fundamental solutions can be computed efficiently by the transfer matrix method however some arbitrariness arises in the formulation of the mathematical model resulting in different baffling conditions at the two ends of the treatment to be considered thus the paper investigates the possibility of different formulations i e baffling conditions within the same hybrid finite element transfer matrix framework seeking for the best strategy in terms of tradeoff between efficiency and accuracy numerical examples are provided to show strengths and limitations of the proposed methodology

weak anisotropic symmetric formulations of biot s equations for vibro acoustic modelling of porous elastic materials in this paper a fully anisotropic symmetric weak formulation of biot s equations for vibro acoustic modelling of porous elastic materials in the frequency domain is proposed starting from biot s equations in their anisotropic form a mixed displacement pressure formulation is discussed in terms of cartesian tensors the anisotropic equation parameters appearing in the differential equations are derived from material parameters which are possible to determine through experimental testing or micro structural simulations of the fluid and the porous skeleton solutions are obtained by applying the finite element method to the proposed weak form and the results are verified against a weak displacement based formulation for a foam and plate combination

weak forms for modelling of rotationally symmetric multilayered structures including anisotropic poro elastic media a weak form of the anisotropic biot s equation represented in a cylindrical coordinate system using a spatial fourier expansion in the circumferential direction is presented the original three dim

reliable mixed l2 h fuzzy static output feedback control for nonlinear systems with sensor faults this paper is concerned with the design of reliable mixed l 2 h static output feedback sof fuzzy controllers for nonlinear continuous time systems with complete sensor faults the takagi and sugeno t s fuzzy model is employed to represent a nonlinear system a sufficient condition for the existence of reliable mixed l 2 h sof fuzzy controllers is presented in terms of a set of quadratic matrix inequalities qmis which not only guarantees that the closed loop fuzzy system satisfies a desired h disturbance attenuation constraint for all admissible operating regimes including the normal and sensor fault cases but also provides different upper bounds on the l 2 performance criterion for different operating regimes a suboptimal reliable fuzzy controller is obtained by the proposed iterative linear matrix inequality ilmi algorithm for minimizing the normal l 2 performance bound while maintaining acceptable lower levels of the bounds in the sensor fault cases finally a numerical example is given to illustrate the effectiveness of the proposed design method

vibration and transient response of structural acoustic interior coupled systems with dissipative interface this work concerns the variational formulation and the numerical computation of vibroacoustic interior problems with interface damping the coupled system consists of an elastic structure described by a displacement field containing an inviscid compressible and barotropic fluid described by a pressure field gravity effects being neglected within the context of noise reduction techniques we propose to investigate the effect of introducing a thin layer of damping material at the fluid structure interface the originality of this work lies in the introduction of an additional unknown field at the fluid structure interface namely the normal fluid displacement field with this new scalar unknown various interface damping models can be introduced in the variational formulation moreover the associated finite element matrix system can be written in a symmetric form and directly solved in frequency and time domains

fault detection and isolation for a class of uncertain state feedback fuzzy control systems this paper investigates the fault detection and isolation fdi problem for a class of nonlinear state feedback control systems with parameter uncertainties first the considered nonlinear systems are described by multiple t s fuzzy models with uncertain grades of membership and local nonlinear parts in normal case and faulty cases then a switching technique is introduced to address the uncertain grades of membership external disturbances local nonlinear parts faults and the coupling of them in a multiple model scheme a bank of fdi observers are constructed each of which is based on the t s model that describes the system in the presence of a particular fault such that one of them can track the current system state and the corresponding observer estimate error can converge exponentially to zero finally two examples are given to illustrate the effectiveness and advantages of the new results

fault detection for t s fuzzy systems with partly unmeasurable premise variables abstract this paper studies the fault detection problem for t s fuzzy systems with partly unmeasurable premise variables by using measurable premise variables and estimations of unmeasurable premise variables of fuzzy models as the premise variables of observers a novel fuzzy fault detection observer scheme is constructed and the corresponding design condition is proposed via a set theoretic description different from the conventional fault detection observer schemes where all premise variables of the observer are the estimations of the premise variables in the fuzzy systems the proposed method can take full advantage of the partly measurable premise variables for achieving a better fault detection performance a numerical example is given to illustrate the effectiveness of the proposed method

convergent fault estimation for linear systems with faults and disturbances the problem of convergent fault estimation for a class of linear systems with faults and disturbances is addressed for the first time in this technical note a differential equation based convergence theorem of mean sequence of estimates is proposed which provides an iterative mean estimation technique that has not been fully reported yet in the literature based on the technique a convergent fault estimation strategy for the linear system in consideration is designed and the convergence of mean sequence of fault estimates is proved theoretically an iterative algorithm is given subsequently to compute the fault estimates numerical simulation results demonstrate the effectiveness and merits of the proposed method

a reduction method for structure acoustic and poroelastic acoustic problems using interface dependent lanczos vectors a reduction method is proposed for analysing structure acoustic and poroelastic acoustic problems within a finite element framework this includes systems consisting of an acoustic fluid domain coupled to a flexible structural domain and or a porous sound absorbing material domain the studied problem is reduced by dividing the system into a number of physical subdomains a set of basis vectors is derived for each of these subdomains including both normal modes and interface dependent vectors that take account of the influence of connecting subdomains the method is verified in two numerical examples using the proposed method for both solving the structure acoustic eigenvalue problem and performing a frequency response analysis in an acoustic cavity with one wall covered by porous material c 2005 elsevier b v all rights reserved less

a new finite element formulation for internal acoustic problems with dissipative walls this work concerns the variational formulation and the numerical computation of internal acoustic problems with absorbing walls the originality of the proposed approach compared to other existing methods is the introduction of the normal fluid displacement field on the damped walls this additional variable allows to transpose formulations in frequency domain to time domain when the fluid is described by a scalar field pressure or fluid displacement potential with this new scalar unknown various absorbing wall models can be introduced in the variational formulation moreover the associated finite element matrix system in symmetric form can be solved in frequency and time domain

pade approximants and the modal connection towards increased robustness for fast parametric sweeps summary in order to increase the robustness of a pade based approximation of parametric solutions to finite element problems an a priori estimate of the poles is proposed the resulting original approach is shown to allow for a straightforward efficient subsequent pade based expansion of the solution vector components overcoming some of the current convergence and robustness limitations in particular this enables for the intervals of approximation to be chosen a priori in direct connection with a given choice of pade approximants the choice of these approximants as shown in the present work is theoretically supported by the montessus de ballore theorem concerning the convergence of a series of approximants with fixed denominator degrees key features and originality of the proposed approach are i a component wise expansion which allows to specifically target subsets of the solution field and ii the a priori simultaneous choice of the pade approximants and their associated interval of convergence for an effective and more robust approximation an academic acoustic case study a structural acoustic application and a larger acoustic problem are presented in order to demonstrate the potential of the approach proposed this article is protected by copyright all rights reserved

extended h 2 and h norm characterizations and controller parametrizations for discrete time systems this paper presents new synthesis procedures for discrete time linear systems it is based on a recently developed stability condition which contains as particular cases both the celebrated lyapunov theorem for precisely known systems and the quadratic stability condition for systems with uncertain parameters these new synthesis conditions have some nice properties a they can be expressed in terms of lmi linear matrix inequalities and b the optimization variables associated with the controller parameters are independent of the symmetric matrix that defines a quadratic lyapunov function used to test stability this second feature is important for several reasons first structural constraints as those appearing in the decentralized and static output feedback control design can be addressed less conservatively second parameter dependent lyapunov function can be considered with a very positive impact on the design of robust h 2 and h x control problems third the design of controller with mixed

h control with transients in h infty or uniformly optimal control problems it is usually assumed that the system initial conditions are zero in this paper an h infty like control problem that incorporates uncertainty in initial conditions is formulated this is done by defining a worst case performance measure both finite and infinite horizon problems are considered necessary and sufficient conditions are derived for the existence of controllers that yield a closed loop system for which the above mentioned performance measure is less than a prespecified value state space formulae for the controllers are also presented

h_ infty observer design for fuzzy system with immeasurable state variables via a new lyapunov function this paper is concerned with the design of h infty observers for fuzzy system with immeasurable state variables via a new lyapunov function by decomposing the space of premise variables into crisp regions and fuzzy regions piecewise fuzzy h infty observers are established at different instants to cope with the challenges caused by the mismatch of the premise variables and exogenous disturbances based on the proposed new lyapunov functions that depend on the different regions where the premise variables are located sufficient conditions in terms of linear matrix inequalities are obtained to guarantee the stability and desired performance of the error systems finally a simulation example is provided to show that the new design technology proposed in this paper achieves better h infty performance than the existing design methods

asymptotically necessary and sufficient conditions for stability and performance in fuzzy control applications of polya s theorem stability and performance requirements in fuzzy control of takagi sugeno systems are usually stated as fuzzy summations i e sums of terms related to lyapunov functions which are weighted by membership functions or products of them this paper presents an application to fuzzy control of polya s theorems on positive forms on the standard simplex the result provides a set of progressively less conservative sufficient conditions for proving positivity of fuzzy summations such conditions are less and less conservative as a complexity parameter n increases particular cases of such conditions are those in c h fang y s liu s w kau l hong c h lee a new lmi based approach to relaxed quadratic stabilization of t s fuzzy control systems ieee trans fuzzy systems 14 2006 286 397 x liu q zhang new approaches to h controller designs based on fuzzy observers for t s fuzzy systems via lmi automatica 39 9 2003 1571 1582 with n 2 and 3 respectively the proposed conditions are asymptotically exact i e necessary and sufficient when n tends to infinity or equivalently when a tolerance parameter tends to zero

partitioned formulation of internal and gravity waves interacting with flexible structures abstract this paper presents a partitioned modeling of internal and gravity fluid waves that interact with flexible structures the governing interaction model consists of three completely partitioned entities fluid model structural model and interface model that acts as an internal constraint on the fluid structure interface boundary thus the proposed partitioned multi physics modeling can employ two completely modular fluid and structure software modules plus an interface solver hence amenable to partitioned solution algorithms the interface discretization can exploit the nonmatching interface algorithm previously developed via the method of localized lagrange multipliers also noted is that the present fluid model can make use of widely available finite element software for standard poisson type problems

weak formulation of biot s equations in cylindrical coordinates with harmonic expansion in the circumferential direction new modelling tools intended to contribute to the development of components for quieter vehicles are developed the tools are based on continuum models for wave propagation in poro and visco elastic media by using geometric attributes of the studied components the computational cost may be radically decreased compared to traditional methods by assigning known analytical functions for one or two of the spatial directions the spatial dimension of the remaining numerical problem is reduced this reduction of spatial dimensions is performed in two di erent ways the first one treats wave propagation in infinitely extended homogeneous and hollowed cylindrical rods or wave guides consisting of visco elastic media the wave solutions obtained are then used to model rubber vibration isolators of finite length by mode matching the fields to the radial boundary conditions of interest the second one is a method for modelling rotationally symmetric multilayered structures consisting of poro elastic elastic and fluid domains by using a harmonic expansion for the azimuthal spatial dependence the original three dimensional problem is split up into several much smaller two dimensional ones radically decreasing the computational load moreover using a mixed measurement modelling approach the audible frequency range characteristics of a viscous damper from a truck is studied illustrating the influence of the rubber bushings by which it is attached to surrounding structures the modelling approaches presented in this thesis are intended as tools aiding the design process of new vehicles enabling new technology striving for more sustainable vehicle concepts more specifically the tools aim to improve the modelling of sound and vibration properties which are often penalised when seeking new more sustainable vehicle designs

fault detection and isolation for affine fuzzy systems with sensor faults this paper investigates the fault detection and isolation fdi problem for a class of nonlinear systems with sensor outage faults the considered nonlinear systems are described as affine fuzzy models and the system outputs are chosen as the premise variables of fuzzy models different from the existing results the influence of sensor faults on premise variables is considered as a result the well known parallel distributed compensation scheme cannot be used for fdi filters design by using the structural information encoded in the fuzzy rules the affine fuzzy system is represented by multiple operating regime based models in fault free case and faulty cases in the multiple model scheme a bank of piecewise fdi filters are constructed each of them is based on the affine fuzzy model that describes the system in the presence of a specified fault the fault dependent residual signals generated from the filters are used for detecting and isolating the specified fault the fdi filter design conditions are obtained in the formulation of linear matrix inequalities finally a numerical example is given to illustrate the effectiveness and merits of the proposed method

models of active learning in group structured state spaces we investigate the problem of learning the transition dynamics of deterministic discrete state environments we assume that an agent exploring such an environment is able to perform actions from a finite set of actions in the environment and to sense the state changes the question investigated is whether the agent can learn the dynamics without visiting all states such a goal is unrealistic in general hence we assume that the environment has structural properties an agent might exploit in particular we assume that the set of all action sequences forms an algebraic group we introduce a learning model in different variants and study under which circumstances the corresponding group structured environments can be learned efficiently by experimenting with group generators actions it turns out that for some classes of such environments the choice of actions given to the agent determines if efficient learning is possible negative results are presented even without efficiency constraints for rather general classes of groups showing that even with group structure learning an environment from partial information is far from trivial however positive results for special subclasses of abelian groups turn out to be a good starting point for the design of efficient learning algorithms based on structured representations

delay dependent robust h sub spl infin control for t s fuzzy systems with time delay this paper focuses on the problem of delay dependent robust fuzzy control for a class of nonlinear delay systems via state feedback the takagi sugeno t s fuzzy model is adopted for representing a nonlinear system with time delayed state a delay dependent stabilization criterion is first presented then the methods of robust stabilization and robust h sub spl infin control are developed which are dependent on the size of the delay and are based on the solutions of linear matrix inequalities lmis finally a design example of robust h sub spl infin controller for uncertain nonlinear systems is given to illustrate the effectiveness of the approaches proposed in this paper

analysis and design for a class of complex control systems part i fuzzy modelling and identification this paper is the first of two dealing with the analysis and design of a class of complex control systems this part deals with fuzzy modelling and identification the second paper is concerned with fuzzy controller design we believe that these two papers show a way to analyze and design complex control systems using a combination of fuzzy logic and modern control theory the complex systems studied in these two papers can be represented by a fuzzy aggregation of a set of local linear models the identification can be divided into two procedures the first procedure is the identification of the membership functions including the determination of the number of fuzzy rules and the estimation of the parameters in the membership functions the second is the identification of the local linear models including the determination of the structure and the parameters of the local rule maps and the global rule interpolation two examples are used to demonstrate the application of the modelling method

learning regular sets from queries and counterexamples the problem of identifying an unknown regular set from examples of its members and nonmembers is addressed it is assumed that the regular set is presented by a minimamy adequate teacher which can answer membership queries about the set and can also test a conjecture and indicate whether it is equal to the unknown set and provide a counterexample if not a counterexample is a string in the symmetric difference of the correct set and the conjectured set a learning algorithm l is described that correctly learns any regular set from any minimally adequate teacher in time polynomial in the number of states of the minimum dfa for the set and the maximum length of any counterexample provided by the teacher it is shown that in a stochastic setting the ability of the teacher to test conjectures may be replaced by a random sampling oracle ex a polynomial time learning algorithm is shown for a particular problem of context free language identification

homogeneous polynomially nonquadratic stabilization of discrete time takagi sugeno systems via nonparallel distributed compensation law this paper considers stability of discrete time nonlinear systems in takagi sugeno t s form this problem has been studied for more than 20 years with many sufficient conditions and the asymptotically necessary and sufficient ans conditions with respect to the common quadratic lyapunov function having being obtained this paper considers general forms of homogeneous polynomially nonquadratic lyapunov hpnql function and homogeneous polynomially parameterized nonparallel distributed compensation hpp non pdc law by generalization of the procedure based on polya s theorem and techniques used for parameter dependent linear matrix inequality pd lmi which have been studied previously in different contexts ans stability conditions with respect to the general hpnql function are obtained

piecewise quadratic stability of fuzzy systems presents an approach to stability analysis of fuzzy systems the analysis is based on lyapunov functions that are continuous and piecewise quadratic the approach exploits the gain scheduling nature of fuzzy systems and results in stability conditions that can be verified via convex optimization over linear matrix inequalities examples demonstrate the many improvements over analysis based on a single quadratic lyapunov function special attention is given to the computational aspects of the approach and several methods to improve the computational efficiency are described

affine ts model based fuzzy regulating servo control design an affine t s fuzzy system is derived naturally from linearizing a nonlinear system or from some data driven identification techniques for example cluster based algorithms or soft computation learning structures little research is proposed for the intrinsic analysis of an affine type fuzzy system further the controllers to regulate or to achieve servo control of affine ts based nonlinear systems are also few both affine type fuzzy regulation and servo control design scheme are theoretically derived a simple lyapunov based stability criterion and some extra conditions are proposed to guarantee the global stability of the generated closed loop fuzzy systems the exponential stability of the feedback fuzzy system is ensured under some conditions the performance of the proposed fuzzy controllers and fuzzy servo controllers is examined by three case studies simulation results show that the proposed controllers can stabilize these affine fuzzy systems and the proposed servomechanism can adapt itself to various incoming signals in very short time spans