Delay-Dependent Guaranteed Cost Control for Uncertain T-S Fuzzy Systems with Time-Varying Delays

Y.-Y. Hou, T.-L. Liao, J.-J. Yan, and C.-H. Lien (Taiwan)


Delay-dependent condition, Guaranteed cost control, Takagi-Sugeno fuzzy systems, time-varying delay, linear matrix inequality (LMI).


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.

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