Improved stability and stabilization criteria for uncertain discrete-time switched TS fuzzy systems with time-varying delays

This paper investigates the robust asymptotic stability analysis and the output feedback stabilization problems for a class of uncertain discrete-time switched TS fuzzy systems with immeasurable states and time-varying delays. By utilizing Generalized JSH-transformation and Rouchés' theorems, delay-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). Then, a switched TS fuzzy state observer is designed to obtain the estimations of the unmeasured states. Lastly, one comparative example and a practical example are given to illustrate the effectiveness of the proposed results.