Permutation matrix based robust stability and stabilization for uncertain discrete-time switched TS fuzzy systems with time-varying delays

Abstract

This study is concerned with the problems of robust asymptotic stability analysis and stabilization with a state feedback controller for a class of uncertain discrete-time switched TS fuzzy systems with time-varying delays. By utilizing permutation matrix approach, delay-independent sufficient conditions are developed for achieving the mission of reducing conservatism and to break with existing ones which are formulated in terms of linear matrix inequalities (LMIs). Lastly, three numerical examples are employed to show the effectiveness and the reduced conservatism of the proposed results.