Stability of fuzzy control systems with bounded uncertain delays

Global exponential stability of fuzzy control systems with delays is studied. These delays in the fuzzy control systems are assumed to be any uncertain bounded continuous functions. Stability of systems with uncertain delays is interesting since in practical applications it is not easy to know the delays exactly. Conditions for global exponential stability of free fuzzy systems with uncertain delays are derived. Criteria for design of nonlinear fuzzy controllers to feedback control the stability of global nonlinear fuzzy systems are given. Theorems are proved via the method of functional differential inequalities analysis.

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

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

[3]  Z. Yi,et al.  Stability of nonlinear analytic delay equations , 1994 .

[4]  Kazuo Tanaka,et al.  Stability and stabilizability of fuzzy-neural-linear control systems , 1995, IEEE Trans. Fuzzy Syst..

[5]  Y. Zhang,et al.  Stability of nonlinear analytic integrodifferential equations , 1995 .

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

[7]  Kazuo Tanaka,et al.  Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory, and linear matrix inequalities , 1996, IEEE Trans. Fuzzy Syst..

[8]  Gang Feng,et al.  Quadratic stability analysis and design of continuous-time fuzzy control systems , 1996, Int. J. Syst. Sci..

[9]  Mandayam A. L. Thathachar,et al.  On the stability of fuzzy systems , 1997, IEEE Trans. Fuzzy Syst..

[10]  Shu-Guang Cao,et al.  Design of fuzzy control systems with guaranteed stability , 1997, Fuzzy Sets Syst..

[11]  Joongseon Joh,et al.  On the stability issues of linear Takagi-Sugeno fuzzy models , 1998, IEEE Trans. Fuzzy Syst..

[12]  Farid Sheikholeslam,et al.  Stability analysis and design of fuzzy control systems , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[13]  Li-Xin Wang.  Stable and optimal fuzzy control of linear systems , 1998, IEEE Trans. Fuzzy Syst..

[14]  Mignon Park,et al.  Robust stability analysis and design method for the fuzzy feedback linearization regulator , 1998, IEEE Trans. Fuzzy Syst..

[15]  Marcelo C. M. Teixeira,et al.  Stabilizing controller design for uncertain nonlinear systems using fuzzy models , 1999, IEEE Trans. Fuzzy Syst..

[16]  Aníbal Ollero,et al.  Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems , 1999, IEEE Trans. Fuzzy Syst..

[17]  Ji-Chang Lo,et al.  Stability issues on Takagi-Sugeno fuzzy model-parametric approach , 1999, IEEE Trans. Fuzzy Syst..

[18]  Chin-Tzong Pang,et al.  On the asymptotic stability of free fuzzy systems , 1999, IEEE Trans. Fuzzy Syst..

[19]  Karl-Erik Årzén,et al.  Piecewise quadratic stability of fuzzy systems , 1999, IEEE Trans. Fuzzy Syst..

[20]  Stanislaw H. Zak,et al.  Stabilizing fuzzy system models using linear controllers , 1999, IEEE Trans. Fuzzy Syst..

[21]  Michio Sugeno,et al.  On stability of fuzzy systems expressed by fuzzy rules with singleton consequents , 1999, IEEE Trans. Fuzzy Syst..

[22]  Jong Hae Kim,et al.  Output feedback robust H∞ control of uncertain fuzzy dynamic systems with time-varying delay , 2000, IEEE Trans. Fuzzy Syst..

[23]  Yong-Yan Cao,et al.  Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach , 2000, IEEE Trans. Fuzzy Syst..