Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time

Lei Liu, Qi Zhou, Hongjing Liang and Lijie Wang

Applied Mathematics and Computation, 2017, vol. 298, issue C, 77-94

Abstract: 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.

Keywords: Switched systems; Average dwell time; Stability; Stabilization (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:298:y:2017:i:c:p:77-94

DOI: 10.1016/j.amc.2016.11.006

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