Finite-time stability and stabilisation for switched linear systems

Weiming Xiang, Jian Xiao

Research output: Contribution to journalArticle

Abstract

In this article, the finite-time stability analysis and stabilisation for switched continuous linear system are addressed. Several sufficient conditions for finite-time boundness and stability of switched system are proposed in this article. By comparing the proposed results, it is shown that more the information about the switching signal is known, less conservative results can be derived. Then, based on the finite-time stability analysis results, static state and dynamic output feedback controllers are designed to finite-time stabilise switched linear systems. Several numerical examples are given to illustrate the proposed results within this article.

Original languageEnglish (US)
Pages (from-to)384-400
Number of pages17
JournalInternational Journal of Systems Science
Volume44
Issue number2
DOIs
StatePublished - Feb 1 2013
Externally publishedYes

Fingerprint

Finite-time Stability
Switched Linear Systems
Linear systems
Stabilization
Stability Analysis
Static analysis
Dynamic Output Feedback
Switched Systems
Continuous System
Feedback
Controllers
Linear Systems
Controller
Numerical Examples
Sufficient Conditions

Keywords

  • Finite-time boundness
  • Finite-time stabilisation
  • Finite-time stability
  • Switched linear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications

Cite this

Finite-time stability and stabilisation for switched linear systems. / Xiang, Weiming; Xiao, Jian.

In: International Journal of Systems Science, Vol. 44, No. 2, 01.02.2013, p. 384-400.

Research output: Contribution to journalArticle

Xiang, Weiming ; Xiao, Jian. / Finite-time stability and stabilisation for switched linear systems. In: International Journal of Systems Science. 2013 ; Vol. 44, No. 2. pp. 384-400.
@article{9cc082661e6c4b198b1cd297b7b0147b,
title = "Finite-time stability and stabilisation for switched linear systems",
abstract = "In this article, the finite-time stability analysis and stabilisation for switched continuous linear system are addressed. Several sufficient conditions for finite-time boundness and stability of switched system are proposed in this article. By comparing the proposed results, it is shown that more the information about the switching signal is known, less conservative results can be derived. Then, based on the finite-time stability analysis results, static state and dynamic output feedback controllers are designed to finite-time stabilise switched linear systems. Several numerical examples are given to illustrate the proposed results within this article.",
keywords = "Finite-time boundness, Finite-time stabilisation, Finite-time stability, Switched linear systems",
author = "Weiming Xiang and Jian Xiao",
year = "2013",
month = "2",
day = "1",
doi = "10.1080/00207721.2011.604738",
language = "English (US)",
volume = "44",
pages = "384--400",
journal = "International Journal of Systems Science",
issn = "0020-7721",
publisher = "Taylor and Francis Ltd.",
number = "2",

}

TY - JOUR

T1 - Finite-time stability and stabilisation for switched linear systems

AU - Xiang, Weiming

AU - Xiao, Jian

PY - 2013/2/1

Y1 - 2013/2/1

N2 - In this article, the finite-time stability analysis and stabilisation for switched continuous linear system are addressed. Several sufficient conditions for finite-time boundness and stability of switched system are proposed in this article. By comparing the proposed results, it is shown that more the information about the switching signal is known, less conservative results can be derived. Then, based on the finite-time stability analysis results, static state and dynamic output feedback controllers are designed to finite-time stabilise switched linear systems. Several numerical examples are given to illustrate the proposed results within this article.

AB - In this article, the finite-time stability analysis and stabilisation for switched continuous linear system are addressed. Several sufficient conditions for finite-time boundness and stability of switched system are proposed in this article. By comparing the proposed results, it is shown that more the information about the switching signal is known, less conservative results can be derived. Then, based on the finite-time stability analysis results, static state and dynamic output feedback controllers are designed to finite-time stabilise switched linear systems. Several numerical examples are given to illustrate the proposed results within this article.

KW - Finite-time boundness

KW - Finite-time stabilisation

KW - Finite-time stability

KW - Switched linear systems

UR - http://www.scopus.com/inward/record.url?scp=84870625489&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870625489&partnerID=8YFLogxK

U2 - 10.1080/00207721.2011.604738

DO - 10.1080/00207721.2011.604738

M3 - Article

AN - SCOPUS:84870625489

VL - 44

SP - 384

EP - 400

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 2

ER -