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Indexed by:期刊论文

Date of Publication:2017-11-03

Journal:IET CONTROL THEORY AND APPLICATIONS

Included Journals:Scopus、SCIE、EI

Volume:11

Issue:16

Page Number:2893-2899

ISSN No.:1751-8644

Key Words: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

Abstract: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.