Non-fragile control for a class of uncertain time-delay switched fuzzy systems

Abstract

This paper considers the stability problem for a class of switched fuzzy (SF) time-delay systems. A sufficient condition for the existence of non-fragile state-feedback controllers and the switching law for a class of uncertain switching fuzzy time-delay systems are proposed based on single Lyapunov function technique, under the assumption that the controller gain to be designed has variations. The corresponding results are all formulated in terms of linear matrix inequalities (LMIs). Simulation results show the effectiveness of the design method.