Improved delay-dependent stabilization conditions of Takagi-Sugeno fuzzy systems with state and input delays

This paper is concerned with the problem of the delay-dependent stabilization for Takagi-Sugeno fuzzy systems with state and input delays. The purpose is to design a statefeedback fuzzy controller such that the resulting closed-loop system is asymptotically stable with less conservative conditions than existing literature. The major difficulty that how to deal with those terms containing the fuzzy membership function hi(t-σ) caused by the presence of the input delay σ is overcome by selecting proper Lyapunov-Krasovskii functionals and using relaxed quadratic stabilization conditions. All the results are presented in terms of Linear matrix inequalities. Finally, a numerical example is also given to illustrate the effectiveness and feasibility of the approaches proposed in this paper.

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