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Zbl 1175.93119
Chen, Bing; Liu, Xiaoping; Lin, Chong; Liu, Kefu
Robust $H_\infty$ control of Takagi-Sugeno fuzzy systems with state and input time delays. (English)
[J] Fuzzy Sets Syst. 160, No. 4, 403-422 (2009). ISSN 0165-0114

Summary: This paper addresses the robust $H_\infty$ fuzzy control problem for nonlinear uncertain systems with state and input time delays through Takagi-Sugeno (T-S) fuzzy model approach. The delays are assumed to be interval time-varying delays, and no restriction is imposed on the derivative of time delay. Based on Lyapunov-Krasoviskii functional method, delay-dependent sufficient conditions for the existence of an $H_\infty$ controller are proposed in Linear Matrix Inequality (LMI) format. Illustrative examples are given to show the effectiveness and merits of the proposed fuzzy controller design methodology.

MSC 2000:: *93C42 Fuzzy control
93B36 $H^\infty$-control
15A39 Linear inequalities

Keywords: $H_\infty$ control; T-S fuzzy system; time delay; delay-dependent stabilization; uncertainty

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