Reliable Control of Fuzzy Descriptor Systems with Time-Varying Delay

The reliable fuzzy controller design problem of T-S fuzzy descriptor systems with time-varying delay is introduced. Based on linear matrix inequality approach, a less conservative reliable controller design method is presented. The resulting fuzzy control systems are reliable in the sense that asymptotic stability is achieved not only when all control components are operating well, but also in the presence of some component failures. Moreover, the result is extended to the case of observer-based reliable fuzzy control.Two numerical examples are also given to illustrate the design procedures and their effectiveness.

[1]  Huai-Ning Wu,et al.  Reliable LQ fuzzy control for continuous-time nonlinear systems with actuator faults , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[2]  Bing Chen,et al.  Reliable control design of fuzzy dynamic systems with time-varying delay , 2004, Fuzzy Sets Syst..

[3]  L. Xiaodong,et al.  New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI , 2003, Autom..

[4]  Robert J. Veillette,et al.  Reliable linear-quadratic state-feedback control , 1995, Autom..

[5]  Der-Cherng Liaw,et al.  Reliable control of nonlinear systems , 2000, IEEE Trans. Autom. Control..

[6]  Huai-Ning Wu,et al.  Reliable mixed I fuzzy static output feedback control for nonlinear systems with sensor faults , 2005, Autom..

[7]  Guanghong Yang,et al.  Reliable H∞ control for affine nonlinear systems , 1998, IEEE Trans. Autom. Control..

[8]  Lihua Xie,et al.  Robust control of a class of uncertain nonlinear systems , 1992 .

[9]  Tong-heng Lee,et al.  Technical communique: Improvement on observer-based H∞ control for T-S fuzzy systems , 2005 .

[10]  Yan Wang,et al.  Robust Fuzzy Control of a Class of Nonlinear Descriptor Systems with , 2004 .

[11]  Liu Xiaoping.  Robust stabilization of nonlinear singular systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[12]  Euntai Kim,et al.  New approaches to relaxed quadratic stability condition of fuzzy control systems , 2000, IEEE Trans. Fuzzy Syst..

[13]  Kazuo Tanaka,et al.  Fuzzy descriptor systems: stability analysis and design via LMIs , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[14]  William R. Perkins,et al.  Design of reliable control systems , 1992 .

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