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Stability analysis of Takagi-Sugeno systems using a switched fuzzy Lyapunov function. (English) Zbl 1478.93344

Summary: In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi-Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. The key point is that the time derivatives of the membership functions are represented as a finite polytope and less conservative linear matrix inequalities are obtained. Numerical examples illustrate the efficiency of the new stabilizing conditions.

MSC:

93C42 Fuzzy control/observation systems
93D30 Lyapunov and storage functions

Software:

YALMIP; SeDuMi
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Full Text: DOI

References:

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