Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time

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• 作者：Lei Liu^a ; ^{liuleiyyf@gmail.com} ; Qi Zhou ; ^b ; ^{zhouqi2009@gmail.com} ; Hongjing Liang^a ; ^{lianghongjing99@163.com} ; Lijie Wang^c ; ^{lijiewang1@gmail.com}
• 关键词：Switched systems ; Average dwell time ; Stability ; Stabilization
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：298
• 期：Complete
• 页码：77-94
• 全文大小：1879 K
• 卷排序：298

文摘

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.