Switched Fuzzy Systems: Representation Modelling, Stability Analysis, and Control Design

Stability issues for switched systems whose subsystems are all fuzzy systems, either continuous-time or discrete-time, are studied and new results derived. Innovated representation models for switched fuzzy systems are proposed. The single Lyapunov function method has been adopted to study the stability of this class of switched fuzzy systems. Sufficient conditions for quadratic asymptotic stability are presented and stabilizing switching laws of the state-dependent form are designed. The elaborated illustrative examples and the respective simulation experiments demonstrate the effectiveness of the proposed method

[1]  Branicky [IEEE 1994 33rd IEEE Conference on Decision and Control - Lake Buena Vista, FL, USA (14-16 Dec. 1994)] Proceedings of 1994 33rd IEEE Conference on Decision and Control - Stability of switched and hybrid systems , 1994 .

[2]  Chieh-Li Chen,et al.  Optimal design of fuzzy sliding-mode control: A comparative study , 1998, Fuzzy Sets Syst..

[3]  Rainer Palm,et al.  Fuzzy switched hybrid systems-modeling and identification , 1998, Proceedings of the 1998 IEEE International Symposium on Intelligent Control (ISIC) held jointly with IEEE International Symposium on Computational Intelligence in Robotics and Automation (CIRA) Intell.

[4]  PooGyeon Park,et al.  Output-feedback H/sub /spl infin// control of discrete-time switching fuzzy systems , 2003, The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03..

[5]  Kazuo Tanaka,et al.  Stability analysis and design of fuzzy control systems , 1992 .

[6]  Georgi M. Dimirovski,et al.  Correction to "Quadratic Stability of a Class of Switched Nonlinear Systems" , 2004, IEEE Trans. Autom. Control..

[7]  Jf Baldwin,et al.  An Introduction to Fuzzy Logic Applications in Intelligent Systems , 1992 .

[8]  Kazuo Tanaka,et al.  Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[9]  PooGyeon Park,et al.  Guaranteed cost controller design for discrete-time switching fuzzy systems , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[10]  Y. Funahashi,et al.  On a common quadratic Lyapunov function for widely distant systems , 1997, IEEE Trans. Autom. Control..

[11]  R. Palm,et al.  Sliding mode fuzzy control , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[12]  S. Pettersson,et al.  Stability and robustness for hybrid systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[13]  Andrey V. Savkin,et al.  Cyclic linear differential automata: a simple class of hybrid dynamical systems , 2000, Autom..

[14]  H. R. Berenji,et al.  Fuzzy Logic Controllers , 1992 .

[15]  Guojie Li,et al.  From the Editor-in-Chief , 1995, Journal of Computer Science and Technology.

[16]  Georgi M. Dimirovski,et al.  Quadratic stability of a class of switched nonlinear systems , 2004, IEEE Trans. Autom. Control..

[17]  Han-Xiong Li,et al.  Fuzzy variable structure control , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[18]  Kazuo Tanaka,et al.  Stability and smoothness conditions for switching fuzzy systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[19]  PooGyeon Park,et al.  State-feedback controller design for discrete-time switching fuzzy systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[20]  Anders Rantzer,et al.  Computation of piecewise quadratic Lyapunov functions for hybrid systems , 1997, 1997 European Control Conference (ECC).

[21]  Pravin Varaiya,et al.  Smart cars on smart roads: problems of control , 1991, IEEE Trans. Autom. Control..

[22]  Kazuo Tanaka,et al.  A fuzzy Lyapunov approach to fuzzy control system design , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[23]  M. Branicky Stability of switched and hybrid systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[24]  M. Branicky Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[25]  Hyungbo Shim,et al.  Common Lyapunov Function for Exponentially Stable Nonlinear Systems , 2001 .

[26]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[27]  A. Michel,et al.  Stability theory for hybrid dynamical systems , 1998, IEEE Trans. Autom. Control..

[28]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.