Stability analysis of switched systems under dynamical dwell time control approach

Z. R. Xiang; W. M. Xiang

doi:10.1080/00207720802436240

Stability analysis of switched systems under dynamical dwell time control approach

Z. R. Xiang, W. M. Xiang

Research output: Contribution to journal › Article › peer-review

56 Scopus citations

Abstract

This article investigates the stability of a class of switched systems using dynamical dwell time approach. First, the condition for stability of switched systems whose subsystems are stable are presented with dynamical dwell time approach, which is shown to be less conservative in switching law design than dwell time approach. Then the proposed approach is extended to the switched systems with both stable and unstable subsystems. Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.

Original language	English (US)
Pages (from-to)	347-355
Number of pages	9
Journal	International Journal of Systems Science
Volume	40
Issue number	4
DOIs	https://doi.org/10.1080/00207720802436240
State	Published - Apr 2009
Externally published	Yes

Keywords

Dynamical dwell time
Stability
Switched systems
Switching law

ASJC Scopus subject areas

Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications

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10.1080/00207720802436240

Cite this

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title = "Stability analysis of switched systems under dynamical dwell time control approach",

abstract = "This article investigates the stability of a class of switched systems using dynamical dwell time approach. First, the condition for stability of switched systems whose subsystems are stable are presented with dynamical dwell time approach, which is shown to be less conservative in switching law design than dwell time approach. Then the proposed approach is extended to the switched systems with both stable and unstable subsystems. Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.",

keywords = "Dynamical dwell time, Stability, Switched systems, Switching law",

author = "Xiang, {Z. R.} and Xiang, {W. M.}",

note = "Funding Information: The authors are very grateful to the reviewers and the editors for their helpful comments and suggestions on this article. This work was supported by the Natural Science Foundation of Jiangsu Province (BK2007210) and Sichuan ministry of education scientific research project under Grant 07Zd1123.",

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AU - Xiang, Z. R.

AU - Xiang, W. M.

N1 - Funding Information: The authors are very grateful to the reviewers and the editors for their helpful comments and suggestions on this article. This work was supported by the Natural Science Foundation of Jiangsu Province (BK2007210) and Sichuan ministry of education scientific research project under Grant 07Zd1123.

PY - 2009/4

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N2 - This article investigates the stability of a class of switched systems using dynamical dwell time approach. First, the condition for stability of switched systems whose subsystems are stable are presented with dynamical dwell time approach, which is shown to be less conservative in switching law design than dwell time approach. Then the proposed approach is extended to the switched systems with both stable and unstable subsystems. Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.

AB - This article investigates the stability of a class of switched systems using dynamical dwell time approach. First, the condition for stability of switched systems whose subsystems are stable are presented with dynamical dwell time approach, which is shown to be less conservative in switching law design than dwell time approach. Then the proposed approach is extended to the switched systems with both stable and unstable subsystems. Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.

KW - Dynamical dwell time

KW - Stability

KW - Switched systems

KW - Switching law

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Stability analysis of switched systems under dynamical dwell time control approach

Abstract

Keywords

ASJC Scopus subject areas

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