Delay-Dependent Robust Control for T–S Fuzzy Systems With Time Delay

Authors:
B. Chen;X. Liu
Affiliations:
-;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2005

Citing 0
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Abstract

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_infty $control are developed, which are dependent on the size of the delay and are based on the solutions of linear matrix inequalities (LMIs). Finally, a design example of robust$H_infty $controller for uncertain nonlinear systems is given to illustrate the effectiveness of the approaches proposed in this paper.