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Conference Paper: Improved stability and stabilization results for discrete singular delay systems via delay partitioning

TitleImproved stability and stabilization results for discrete singular delay systems via delay partitioning
Authors
KeywordsDelay dependent criterion
Delay partitioning
Delay systems
Delay-dependent robust stability
Discrete-time
Issue Date2009
PublisherIEEE. The Journal's web site is located at http://www.ieeecss.org
Citation
The 48th IEEE Conference on Decision and Control,2009 held jointly with the 2009 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 7210-7215 How to Cite?
AbstractIn this paper, the problems of delay-dependent robust stability analysis and robust stabilization are investigated for uncertain discrete-time singular systems with state delay. First, by making use of the delay partitioning technique, a new delay-dependent criterion is given to ensure the nominal system to be regular, causal and stable. This new criterion is further extended to singular systems with both delay and parameter uncertainties. Moreover, without the assumption that the considered systems being regular and causal, robust controllers are designed for discrete-time singular time-delay systems such that the closed-loop systems have the characteristics of regularity, causality and asymptotic stability. These results are illustrated, via a few numerical examples, to be much less conservative than most of the existing results in the literature. ©2009 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/126267
ISSN
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorFeng, Zen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorGao, Hen_HK
dc.contributor.authorDu, Ben_HK
dc.date.accessioned2010-10-31T12:19:04Z-
dc.date.available2010-10-31T12:19:04Z-
dc.date.issued2009en_HK
dc.identifier.citationThe 48th IEEE Conference on Decision and Control,2009 held jointly with the 2009 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 7210-7215en_HK
dc.identifier.issn0191-2216en_HK
dc.identifier.urihttp://hdl.handle.net/10722/126267-
dc.description.abstractIn this paper, the problems of delay-dependent robust stability analysis and robust stabilization are investigated for uncertain discrete-time singular systems with state delay. First, by making use of the delay partitioning technique, a new delay-dependent criterion is given to ensure the nominal system to be regular, causal and stable. This new criterion is further extended to singular systems with both delay and parameter uncertainties. Moreover, without the assumption that the considered systems being regular and causal, robust controllers are designed for discrete-time singular time-delay systems such that the closed-loop systems have the characteristics of regularity, causality and asymptotic stability. These results are illustrated, via a few numerical examples, to be much less conservative than most of the existing results in the literature. ©2009 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE. The Journal's web site is located at http://www.ieeecss.org-
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Control, CDC/CCC 2009en_HK
dc.rightsIEEE Conference on Decision and Control Proceedings. Copyright © IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rights©2009 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.subjectDelay dependent criterion-
dc.subjectDelay partitioning-
dc.subjectDelay systems-
dc.subjectDelay-dependent robust stability-
dc.subjectDiscrete-time-
dc.titleImproved stability and stabilization results for discrete singular delay systems via delay partitioningen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0743-1546&volume=&spage=7210&epage=7215&date=2009&atitle=Improved+stability+and+stabilization+results+for+discrete+singular+delay+systems+via+delay+partitioning-
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CDC.2009.5399472en_HK
dc.identifier.scopuseid_2-s2.0-77950838104en_HK
dc.identifier.hkuros179731en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77950838104&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage7210en_HK
dc.identifier.epage7215en_HK
dc.identifier.isiWOS:000336893607118-
dc.description.otherThe 48th IEEE Conference on Decision and Control,2009 held jointly with the 2009 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 7210-7215-
dc.identifier.scopusauthoridFeng, Z=35770539900en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridGao, H=7402971422en_HK
dc.identifier.scopusauthoridDu, B=25823711000en_HK

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