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Conference Paper: Positive observers for positive interval linear discrete-time delay systems

TitlePositive observers for positive interval linear discrete-time delay systems
Authors
KeywordsAnalysis and synthesis
Discrete-time
Equivalent condition
Error signal
Numerical example
Issue Date2009
PublisherIEEE. The Journal's web site is located at http://www.ieeecss.org
Citation
The 48th IEEE Conference on Decision and Control held jointly with the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 6107-6112 How to Cite?
AbstractLinear matrix inequalities (LMIs) provide a powerful analysis and synthesis framework for linear systems. In this paper, we use LMIs to develop positive observers for positive linear discrete-time (PLDT) systems with both parameter uncertainties and time delay. Specifically, we first present some equivalent conditions for the asymptotic stability of positive linear discrete-time delay systems, which will be employed to design the positive observers. Then, necessary and sufficient conditions are proposed to check the existence of positive observers for interval PLDT systems with time delay when the positivity of the error signals is considered, and the observer matrices to be constructed can be easily obtained through the solutions of LMIs. Finally, a numerical example is provided to demonstrate the efficacy of the proposed approach. ©2009 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/126315
ISSN
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLi, Pen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorShu, Zen_HK
dc.date.accessioned2010-10-31T12:21:38Z-
dc.date.available2010-10-31T12:21:38Z-
dc.date.issued2009en_HK
dc.identifier.citationThe 48th IEEE Conference on Decision and Control held jointly with the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 6107-6112en_HK
dc.identifier.issn0191-2216en_HK
dc.identifier.urihttp://hdl.handle.net/10722/126315-
dc.description.abstractLinear matrix inequalities (LMIs) provide a powerful analysis and synthesis framework for linear systems. In this paper, we use LMIs to develop positive observers for positive linear discrete-time (PLDT) systems with both parameter uncertainties and time delay. Specifically, we first present some equivalent conditions for the asymptotic stability of positive linear discrete-time delay systems, which will be employed to design the positive observers. Then, necessary and sufficient conditions are proposed to check the existence of positive observers for interval PLDT systems with time delay when the positivity of the error signals is considered, and the observer matrices to be constructed can be easily obtained through the solutions of LMIs. Finally, a numerical example is provided to demonstrate the efficacy of the proposed approach. ©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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsIEEE Conference on Decision and Control Proceedings. Copyright © IEEE.-
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.subjectAnalysis and synthesis-
dc.subjectDiscrete-time-
dc.subjectEquivalent condition-
dc.subjectError signal-
dc.subjectNumerical example-
dc.titlePositive observers for positive interval linear discrete-time delay systemsen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0743-1546&volume=&spage=6107&epage=6112&date=2009&atitle=Positive+observers+for+positive+interval+linear+discrete-time+delay+systems-
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.2009.5400389en_HK
dc.identifier.scopuseid_2-s2.0-77950806737en_HK
dc.identifier.hkuros179728en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77950806737&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage6107en_HK
dc.identifier.epage6112en_HK
dc.identifier.isiWOS:000336893606100-
dc.description.otherThe 48th IEEE Conference on Decision and Control held jointly with the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 6107-6112-
dc.identifier.scopusauthoridLi, P=35069715100en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridShu, Z=25652150400en_HK

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