Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
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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.
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Domain of attraction estimates, Finite polytopic representation, Linear matrix inequalities, Switched fuzzy Lyapunov functions, Takagi–Sugeno systems
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Inglês
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Information Sciences, v. 543, p. 43-57.
