Delay-dependent guaranteed cost control for uncertain T-S fuzzy systems with time-varying delays

The problem of guaranteed cost control for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated through linear matrix inequality (LMI) approach. Based on Lyapunov-Krasovskii functional theory and LMI technique, a state feedback controller is proposed to stabilize the uncertain T-S fuzzy systems and minimize the guaranteed cost of the closed-loop systems. A delay-dependent stability criterion is derived to guarantee the asymptotical stability of closed-loop systems. By constructing a novel Lyapunov functional, the supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed delay-dependent stability criterion. A numerical example is given to verify the validity of the results developed in this paper.