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论文类型：期刊论文

发表时间：2017-11-03

发表刊物：IET CONTROL THEORY AND APPLICATIONS

收录刊物：Scopus、SCIE、EI

卷号：11

期号：16

页面范围：2893-2899

ISSN号：1751-8644

关键字：discrete time systems; switching systems (control); nonlinear control systems; stability criteria; Lyapunov methods; control system synthesis; state-dependent switching rule design; dwell time switching algorithm; system stability; multiple Lyapunov functions; ISS criteria; discrete-time nonlinear switched singular systems; input-to-state stability

摘要：This study investigates the input-to-state stability (ISS) for a class of discrete-time non-linear switched singular systems. Two novel ISS criteria are proposed based on multiple Lyapunov functions method. In one case that all subsystems are input-to-state stable (ISS) but the system stability may be destroyed by the switching, the average dwell time switching algorithm is applied to guarantee the ISS of the whole system. In other case that all subsystems can be unstable, the state-dependent switching rule is designed to stabilise the system and ensure the ISS of the switched singular system. Finally, simulation examples are provided to illustrate the feasibility of the obtained results.