Stability of Switched Systems with Unstable Subsystems: A Sequence-Based Average Dwell Time Approach

Zheng, D; Zhang, H; Zhang, JA; Su, SW

Stability of Switched Systems with Unstable Subsystems: A Sequence-Based Average Dwell Time Approach

Zheng, D

Zhang, H Zhang, JA Su, SW

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Publisher:: SPRINGER BIRKHAUSER
Publication Type:: Journal Article
Citation:: Circuits, Systems, and Signal Processing, 2021, 40, (11), pp. 5328-5350
Issue Date:: 2021-11-01

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Field	Value	Language
dc.contributor.author	Zheng, D https://orcid.org/0000-0001-6666-0894
dc.contributor.author	Zhang, H
dc.contributor.author	Zhang, JA
dc.contributor.author	Su, SW
dc.date.accessioned	2022-01-30T03:23:23Z
dc.date.available	2022-01-30T03:23:23Z
dc.date.issued	2021-11-01
dc.identifier.citation	Circuits, Systems, and Signal Processing, 2021, 40, (11), pp. 5328-5350
dc.identifier.issn	0278-081X
dc.identifier.issn	1531-5878
dc.identifier.uri	http://hdl.handle.net/10453/153844
dc.description.abstract	This paper proposes a new sequence-based approach to resolve the stability problems found in switched systems with unstable subsystems. In existing approaches, the sequence information of switching subsystems is seldom exploited. By exploiting the sequence information, threshold values can be less restrictive and more appropriate for the situation. We study two cases in this paper: (a) all subsystems are unstable, and (b) part of the subsystems are unstable. Both continuous-time and discrete-time systems are studied, and a numerical example is given to show the advantage of our approach.
dc.language	English
dc.publisher	SPRINGER BIRKHAUSER
dc.relation.ispartof	Circuits, Systems, and Signal Processing
dc.relation.isbasedon	10.1007/s00034-021-01742-5
dc.rights	This is a post-peer-review, pre-copyedit version of a Journal article published in the Circuits, Systems, and Signal Processing The final authenticated version is available online at: https://link.springer.com/article/10.1007/s00034-021-01742-5
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject	0102 Applied Mathematics, 0906 Electrical and Electronic Engineering
dc.subject.classification	Industrial Engineering & Automation
dc.title	Stability of Switched Systems with Unstable Subsystems: A Sequence-Based Average Dwell Time Approach
dc.type	Journal Article
utslib.citation.volume	40
utslib.for	0102 Applied Mathematics
utslib.for	0906 Electrical and Electronic Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
pubs.organisational-group	/University of Technology Sydney/Strength - GBDTC - Global Big Data Technologies
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Biomedical Engineering
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Centre for Health Technologies (CHT)
utslib.copyright.status	open_access	*
utslib.copyright.embargo	2022-11-01T00:00:00+1000Z
dc.date.updated	2022-01-30T03:23:21Z
pubs.issue	11
pubs.publication-status	Published
pubs.volume	40
utslib.citation.issue	11

Abstract:

This paper proposes a new sequence-based approach to resolve the stability problems found in switched systems with unstable subsystems. In existing approaches, the sequence information of switching subsystems is seldom exploited. By exploiting the sequence information, threshold values can be less restrictive and more appropriate for the situation. We study two cases in this paper: (a) all subsystems are unstable, and (b) part of the subsystems are unstable. Both continuous-time and discrete-time systems are studied, and a numerical example is given to show the advantage of our approach.

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http://hdl.handle.net/10453/153844