Stability analysis and control synthesis of switched impulsive systems

Weiming Xiang, Jian Xiao

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


In this paper, we investigate the stability analysis problem of switched impulsive nonlinear systems and several stabilization problems of switched discrete-time linear systems are studied. First, sufficient conditions ensuring globally uniformly asymptotically stability of switched nonlinear impulsive system under arbitrary and DDT (dynamical dwell time which defines the length of the time interval between two successive switchings) switching are derived, respectively. In the DDT switching case, we first consider the switched system composed by stable subsystems, then we extend the results to the case where not all subsystems are stable. The stabilizations of switched discrete-time linear system under arbitrary switching, DDT switching and asynchronous switching are investigated respectively. Based on the stability analysis results, the control synthesis consists of controller design for each subsystem and state impulsive jumping generators design at switching instant. With the aid of the state impulsive jumping generators at switching instant, the 'energy' produced by switching can be minimized, which leads to less conservative results. Several numerical examples are given to illustrate the proposed results within this paper.

Original languageEnglish (US)
Pages (from-to)1440-1459
Number of pages20
JournalInternational Journal of Robust and Nonlinear Control
Issue number13
StatePublished - Sep 10 2012
Externally publishedYes


  • asynchronous switching
  • dynamical dwell time
  • stability
  • stabilization
  • switched discrete-time linear system
  • switched impulsive nonlinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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