Delay-dependent robust H∞ control for T-S fuzzy systems with time delay

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. 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. controller for uncertain nonlinear systems is given to illustrate the effectiveness of the approaches proposed in this paper.