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Article: New positive realness conditions for uncertain discrete descriptor systems: Analysis and synthesis

TitleNew positive realness conditions for uncertain discrete descriptor systems: Analysis and synthesis
Authors
Xu, SLam, J
Issue Date2004
PublisherIEEE.
Citation
Ieee Transactions On Circuits And Systems I: Regular Papers, 2004, v. 51 n. 9, p. 1897-1905 How to Cite?
DOI: http://dx.doi.org/10.1109/TCSI.2004.834524
AbstractThis paper deals with the problems of positive real (PR) analysis and PR control for uncertain discrete-time descriptor systems. The parameter uncertainties are assumed to be time-invariant norm bounded and appear in both the state and input matrices. A new necessary and sufficient condition for a discrete-time descriptor system to be regular, causal, stable and extended strictly PR (ESPR) is proposed in terms of a strict linear matrix inequality. Based on this, the concepts of strong robust admissibility with ESPR and strong robust admissibilizability with ESPR were introduced. Without any additional assumptions on the system matrices, necessary and sufficient conditions for strong robust admissibility with ESPR and strong robust admissibilizability with ESPR are obtained. Through these results, the problems of PR analysis and PR control are solved. Furthermore, an explicit expression of a desired state feedback controller is also given, which involves no decomposition of the system matrices. © 2004 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/43009
ISSN
1057-7122
ISI Accession Number ID
WOS:000223931800023
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorXu, Sen_HK
dc.contributor.authorLam, Jen_HK
dc.date.accessioned2007-03-23T04:36:49Z-
dc.date.available2007-03-23T04:36:49Z-
dc.date.issued2004en_HK
dc.identifier.citationIeee Transactions On Circuits And Systems I: Regular Papers, 2004, v. 51 n. 9, p. 1897-1905en_HK
dc.identifier.issn1057-7122en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43009-
dc.description.abstractThis paper deals with the problems of positive real (PR) analysis and PR control for uncertain discrete-time descriptor systems. The parameter uncertainties are assumed to be time-invariant norm bounded and appear in both the state and input matrices. A new necessary and sufficient condition for a discrete-time descriptor system to be regular, causal, stable and extended strictly PR (ESPR) is proposed in terms of a strict linear matrix inequality. Based on this, the concepts of strong robust admissibility with ESPR and strong robust admissibilizability with ESPR were introduced. Without any additional assumptions on the system matrices, necessary and sufficient conditions for strong robust admissibility with ESPR and strong robust admissibilizability with ESPR are obtained. Through these results, the problems of PR analysis and PR control are solved. Furthermore, an explicit expression of a desired state feedback controller is also given, which involves no decomposition of the system matrices. © 2004 IEEE.en_HK
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dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Circuits and Systems I: Regular Papersen_HK
dc.rights©2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.titleNew positive realness conditions for uncertain discrete descriptor systems: Analysis and synthesisen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1549-8328&volume=51&issue=9&spage=1897&epage=1905&date=2004&atitle=New+positive+realness+conditions+for+uncertain+discrete+descriptor+systems:+analysis+and+synthesisen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TCSI.2004.834524en_HK
dc.identifier.scopuseid_2-s2.0-4744352783en_HK
dc.identifier.hkuros102294-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4744352783&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume51en_HK
dc.identifier.issue9en_HK
dc.identifier.spage1897en_HK
dc.identifier.epage1905en_HK
dc.identifier.isiWOS:000223931800023-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridXu, S=7404438591en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.issnl1057-7122-

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