Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time

In this paper, the problems of stability and stabilization of nonlinear discrete-time switched systems is investigated. Firstly, in order to implement the lower bound of minimum average dwell time (ADT) of discrete-time switched nonlinear systems, the ι -open-chain and quasi-cyclic switching signals are introduced. Secondly, the problem of these underlying nonlinear discrete-time switched systems are solved by using the interval type-2 (IT2) fuzzy modeling approach. Thirdly, a novel delayed IT2 fuzzy controller is devised to guarantee the asymptotically stable of the resulting systems. Finally, a numerical simulation example is given to show the merit and effectiveness of the proposed approach.