New robust control for uncertain T-S fuzzy systems with time-varying state and input delays

This paper focuses on the robust control for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying state and input delays. Based on Lyapunov-Krasoviskii functional method, a new delay-dependent stabilization criterion is proposed to guarantee the asymptotic stabilization of fuzzy systems with parametric uncertainties. These conditions are proposed in linear matrix inequalities (LMIs) format, which could overcome the conservatism of the existing ones. An illustrative examples is given to show the effectiveness and merits of the proposed fuzzy controller design methodology.

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