Stability analysis for switched nonlinear system via switching fuzzy Lyapunov function approach

The aim of this paper is to study the stability problem for a class of switched nonlinear systems via switching fuzzy Lyapunov function approach. The switching fuzzy Lyapunov function is proposed based on the switching information and the structure information of the fuzzy rule. Then, new sufficient condition on asymptotic stability is obtained by using switching fuzzy Lyapunov functions approach combined with the mode-dependent average dwell time (MDADT) technique. All the results are derived in the terms of linear matrix inequalities (LMI) that can be checked easily by the LMI Control Toolbox in MATLAB. Finally, the simulation examples are presented to show the effectiveness of results obtained in this paper.