A Survey on Analysis and Design of Model-Based Fuzzy Control Systems

Feng, Gang

doi:10.1109/tfuzz.2006.883415

Cited by 1,510 publications

(675 citation statements)

References 347 publications

(351 reference statements)

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“…Fuzzy control has been widely used for engineering practice [23,24]. The Takagi-Sugeno (T-S) model, which has elegant ability to approximate a certain class of complex nonlinear functions, was extensively utilized in control system design [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Wang

Zhou

Dai

et al. 2017

Mathematical Problems in Engineering

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This paper is concerned with the design of fuzzy controller with guaranteed ∞ performance for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed switched systems. First, by using the average dwell time approach together with the piecewise Lyapunov function technique, a state feedback controller that depends on the singular perturbation parameter is developed. This controller is shown to work well for all ∈ (0, 0 ]. Then, for sufficiently small , an -independent controller design method is proposed. Furthermore, under the -independent controller, the -bound estimation problem of the overall switched closed-loop system is solved. Finally, an inverted pendulum system is used to evaluate the feasibility and effectiveness of the obtained results.

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Section: Introductionmentioning

confidence: 99%

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Wang

Zhou

Dai

et al. 2017

Mathematical Problems in Engineering

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“…There have been many research results for it, such as stability analysis, guaranteed-cost and observer-based control designs (Tanaka and Sugeno, 1992;Jadbabaie et al, 1998;Tanaka and Wang, 2001;Fuan and Chen, 2004;Chen and Liu, 2005;Feng, 2006;Kim et al, 2008;Li et al, 2009;Yan et al, 2010;Zhang et al, 2012;Zhao et al, 2013;Tong et al, 2011;2012;2014;Siavash and * Corresponding author Alireza 2014). Especially, considering the uncertainties of the discrete T-S fuzzy linear model, numerous references have proposed different methods, such as the robust control strategy and the adaptive control approach (Cao and Frank, 2000;Chen et al, 2000;Tong et al, 2009;Du, 2012;Qi et al, 2012;Wang, 2014).…”

Section: Introductionmentioning

confidence: 99%

Stability analysis and H_∞ control of discrete T–S fuzzy hyperbolic systems

Duan

Zhang

et al. 2016

International Journal of Applied Mathematics and Computer Science

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This paper focuses on the problem of constraint control for a class of discrete-time nonlinear systems. Firstly, a new discrete T-S fuzzy hyperbolic model is proposed to represent a class of discrete-time nonlinear systems. By means of the parallel distributed compensation (PDC) method, a novel asymptotic stabilizing control law with the "soft" constraint property is designed. The main advantage is that the proposed control method may achieve a small control amplitude. Secondly, for an uncertain discrete T-S fuzzy hyperbolic system with external disturbances, by the proposed control method, the robust stability and H∞ performance are developed by using a Lyapunov function, and some sufficient conditions are established through seeking feasible solutions of some linear matrix inequalities (LMIs) to obtain several positive diagonally dominant (PDD) matrices. Finally, the validity and feasibility of the proposed schemes are demonstrated by a numerical example and a Van de Vusse one, and some comparisons of the discrete T-S fuzzy hyperbolic model with the discrete T-S fuzzy linear one are also given to illustrate the advantage of our approach.

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“…Based on the T-S fuzzy model, a fuzzy controller is proposed to close the feedback loop which forms a fuzzy-model-based (FMB) control system for feedback control [6]. Since then, the T-S FMB control systems have drawn the attention of fuzzy control researchers for more than 20 years due to its effectiveness on handling nonlinear control systems [7,8]. In particular, the issues of stability analysis and control synthesis have been investigated extensively and fruitful results can be found in [2,[9][10][11][12][13][14][15][16][17][18][19] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems

Lam

Xiao

et al. 2016

Int. J. Fuzzy Syst.

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This paper focuses on the guaranteed cost stability analysis of fuzzy-model-based (FMB) control systems. Representing the nonlinear plant using a TakagiSugeno (T-S) fuzzy model, a fuzzy controller is employed to close the feedback loop. A weighted linear quadratic cost function is considered as the cost index to measure the performance of the closed-loop fuzzy system in terms of the system states, system outputs, and control signals. The stability of the FMB control system is investigated by the Lyapunov stability theory subject to the minimization of cost index for performance realization. A membershipfunction-dependent approach using the piecewise-linear membership functions is employed to include the information of membership functions into the stability analysis. Membership-function-dependent stability conditions in terms of linear matrix inequalities are obtained to determine the system stability and feedback gains with the consideration of the system performance measured by the cost function. A simulation example is provided to illustrate the effectiveness and merits of the proposed approach.

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A Survey on Analysis and Design of Model-Based Fuzzy Control Systems

Cited by 1,510 publications

References 347 publications

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Stability analysis and H_∞ control of discrete T–S fuzzy hyperbolic systems

Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems

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A Survey on Analysis and Design of Model-Based Fuzzy Control Systems

Cited by 1,510 publications

References 347 publications

H∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Stability analysis and H∞ control of discrete T–S fuzzy hyperbolic systems

Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems

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Product

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H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Stability analysis and H_∞ control of discrete T–S fuzzy hyperbolic systems