On stability and H control of switched systems with random switching signals

Weiming Xiang, James Lam, Panshuo Li

Research output: Contribution to journalArticle

Abstract

In this paper, the stability analysis and H control problems for a class of continuous-time switched systems with a random switching signal are addressed. The dwell time of the switched systems is characterized with a fixed part and a random part. A new stability criterion, which is equivalent to a necessary and sufficient condition developed previously, is established first, and then it is reformulated in terms of linear matrix inequalities. Based on the stability analysis result, L2-gain performance analysis and H control problems are studied. Several numerical examples are given to illustrate the effectiveness of our results.

Original languageEnglish (US)
Pages (from-to)419-425
Number of pages7
JournalAutomatica
Volume95
DOIs
StatePublished - Sep 2018
Externally publishedYes

Fingerprint

Stability criteria
Linear matrix inequalities

Keywords

  • H control
  • Random switching
  • Stabilization
  • Stochastic stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

On stability and H control of switched systems with random switching signals. / Xiang, Weiming; Lam, James; Li, Panshuo.

In: Automatica, Vol. 95, 09.2018, p. 419-425.

Research output: Contribution to journalArticle

Xiang, Weiming ; Lam, James ; Li, Panshuo. / On stability and H control of switched systems with random switching signals. In: Automatica. 2018 ; Vol. 95. pp. 419-425.
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