Reducing conservativeness of stabilization conditions for switched TS fuzzy systems

In this paper, less conservative sufficient conditions for the existence of switching laws for stabilizing switched TS fuzzy systems via a fuzzy Lyapunov function (FLF) and estimates the basin of attraction are proposed. The conditions are found by exploring properties of the membership functions and are formulated in terms of linear matrix inequalities (LMIs), which can be solved very efficiently using the convex optimization techniques. Finally, the effectiveness and the reduced conservatism of the proposed results are shown through two numerical examples.

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