A fuzzy Lyapunov function approach for stabilization and control of switched TS fuzzy systems

Faria, Flavio Andrade [UNESP]Valentino, Michele C.Oliveira, Vilma A.2015-05-152015-05-152014Applied Mathematical Modelling, v. 38, n. 19-20, p. 4817-4834, 2014.0307-904Xhttp://hdl.handle.net/11449/123491In this work, sufficient conditions for the existence of switching laws for stabilizing switched TS fuzzy systems via a fuzzy Lyapunov function are proposed. The conditions are found by exploring properties of the membership functions and are formulated in terms of linear matrix inequalities (LMIs). Stabilizing switching conditions with bounds on the decay rate solution and H1 performance are also obtained. Numerical examples illustrate the effectiveness of the proposed design methods.4817-4834engSwitched TS fuzzy systemsFuzzy Lyapunov FunctionsLinear Matrix Inequalities (LMI)State feedback designA fuzzy Lyapunov function approach for stabilization and control of switched TS fuzzy systemsArtigo10.1016/j.apm.2014.03.034Acesso restrito77750907826780430308080290202321