A new guaranteed cost control method of T-S fuzzy system with time-delay

In this paper, the problem of guaranteed cost control for nonlinear fuzzy systems with time-delay is studied via fuzzy control method. First, the Takagi-Sugeno (T-S) fuzzy model is adopted for representing a nonlinear system, and then a state feedback fuzzy controller is developed. A new method is proposed by defining new Lyapunov-Krasovskii functions, free weighing matrix and introducing some integral inequalities. By using linear matrix inequalities (LMIs), sufficient conditions that ensure guaranteed cost control of nonlinear system is derived. Finally, simulation example is given to illustrate the effectiveness of the proposed methods.