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Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay. (English) Zbl 1170.93344

Summary: This paper aims to develop simplified yet improved delay-dependent robust control for uncertain T-S fuzzy systems with time-varying delay. This is achieved through constructing new Lyapunov-Krasovskii functionals and improving Jensen’s inequality. Unlike existing work in this area, the approach developed in this paper employs neither free-weighing matrices nor model transformations. As a result, simplified yet improved stability conditions are obtained for T-S fuzzy systems with norm-bounded-type uncertainties. For controller synthesis of the fuzzy systems, the stabilization problem with memoryless state feedback control is solved via utilizing a cone complementarity minimization algorithm. Numerical examples are given to demonstrate the effectiveness of the proposed approach.

MSC:

93C42 Fuzzy control/observation systems
93D09 Robust stability
15A39 Linear inequalities of matrices
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