Title :
Stabilizing switched T-S fuzzy systems using a fuzzy Lyapunov function approach
Author :
Faria, Fabio A. ; Valentino, Michele C. ; Oliveira, Vilma A.
Author_Institution :
Dept. de Eng. Eletr. e de Comput., USP - Univ. de Sao Paulo, Sao Carlos, Brazil
Abstract :
In this work, sufficient conditions for the existence of switching laws for stabilizing switched T-S 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). A state feedback design is also used to extend the applicability of the results. Numerical examples illustrate the effectiveness of the proposed design methods.
Keywords :
Lyapunov methods; fuzzy control; fuzzy systems; linear matrix inequalities; stability; state feedback; time-varying systems; LMI; fuzzy Lyapunov function approach; linear matrix inequality; membership functions; stabilizing switched T-S fuzzy systems; state feedback design; sufficient conditions; switching laws; Asymptotic stability; Fuzzy systems; Lyapunov methods; Numerical models; Stability analysis; Switches; Symmetric matrices;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
