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Article: Positive observers and dynamic output-feedback controllers for interval positive linear systems

TitlePositive observers and dynamic output-feedback controllers for interval positive linear systems
Authors
KeywordsDynamic output-feedback
Interval systems
Linear matrix inequalities (LMIs)
Positive observers
Positive systems
Uncertain systems
Issue Date2008
PublisherIEEE.
Citation
Ieee Transactions On Circuits And Systems I: Regular Papers, 2008, v. 55 n. 10, p. 3209-3222 How to Cite?
AbstractThis paper is concerned with the design of observers and dynamic output-feedback controllers for positive linear systems with interval uncertainties. The continuous-time case and the discrete-time case are both treated in a unified linear matrix inequality (LMI) framework. Necessary and sufficient conditions for the existence of positive observers with general structure are established, and the desired observer matrices can be constructed easily through the solutions of LMIs. An optimization algorithm to the error dynamics is also given. Furthermore, the problem of positive stabilization by dynamic output-feedback controllers is investigated. It is revealed that an unstable positive system cannot be positively stabilized by a certain dynamic output-feedback controller without taking the positivity of the error signals into account. When the positivity of the error signals is considered, an LMI-based synthesis approach is provided to design the stabilizing controllers. Unlike other conditions which may require structural decomposition of positive matrices, all proposed conditions in this paper are expressed in terms of the system matrices, and can be verified easily by effective algorithms. Two illustrative examples are provided to show the effectiveness and applicability of the theoretical results. © 2008 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/59118
ISSN
2006 Impact Factor: 1.139
2006 SCImago Journal Rankings: 1.111
ISI Accession Number ID
Funding AgencyGrant Number
RGCHKU 7031/06P
Funding Information:

This work was supported in part by RGC HKU 7031/06P.

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorShu, Zen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorGao, Hen_HK
dc.contributor.authorDu, Ben_HK
dc.contributor.authorWu, Len_HK
dc.date.accessioned2010-05-31T03:43:11Z-
dc.date.available2010-05-31T03:43:11Z-
dc.date.issued2008en_HK
dc.identifier.citationIeee Transactions On Circuits And Systems I: Regular Papers, 2008, v. 55 n. 10, p. 3209-3222en_HK
dc.identifier.issn1057-7122en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59118-
dc.description.abstractThis paper is concerned with the design of observers and dynamic output-feedback controllers for positive linear systems with interval uncertainties. The continuous-time case and the discrete-time case are both treated in a unified linear matrix inequality (LMI) framework. Necessary and sufficient conditions for the existence of positive observers with general structure are established, and the desired observer matrices can be constructed easily through the solutions of LMIs. An optimization algorithm to the error dynamics is also given. Furthermore, the problem of positive stabilization by dynamic output-feedback controllers is investigated. It is revealed that an unstable positive system cannot be positively stabilized by a certain dynamic output-feedback controller without taking the positivity of the error signals into account. When the positivity of the error signals is considered, an LMI-based synthesis approach is provided to design the stabilizing controllers. Unlike other conditions which may require structural decomposition of positive matrices, all proposed conditions in this paper are expressed in terms of the system matrices, and can be verified easily by effective algorithms. Two illustrative examples are provided to show the effectiveness and applicability of the theoretical results. © 2008 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE.-
dc.relation.ispartofIEEE Transactions on Circuits and Systems I: Regular Papersen_HK
dc.rightsIEEE Transactions on Circuits and Systems Part 1: Regular Papers. Copyright © IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rights©2008 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.subjectDynamic output-feedbacken_HK
dc.subjectInterval systemsen_HK
dc.subjectLinear matrix inequalities (LMIs)en_HK
dc.subjectPositive observersen_HK
dc.subjectPositive systemsen_HK
dc.subjectUncertain systemsen_HK
dc.titlePositive observers and dynamic output-feedback controllers for interval positive linear systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1549-8328&volume=55&issue=10&spage=3209&epage=3222&date=2008&atitle=Positive+observers+and+dynamic+output-feedback+controllers+for+interval+positive+linear+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/TCSI.2008.924116en_HK
dc.identifier.scopuseid_2-s2.0-57149147432en_HK
dc.identifier.hkuros164188en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-57149147432&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume55en_HK
dc.identifier.issue10en_HK
dc.identifier.spage3209en_HK
dc.identifier.epage3222en_HK
dc.identifier.isiWOS:000261361300023-
dc.publisher.placeUnited Statesen_HK
dc.relation.projectDecay rate estimation and synthesis of functional differential systems via semi-definite programming-
dc.identifier.scopusauthoridShu, Z=25652150400en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridGao, H=7402971422en_HK
dc.identifier.scopusauthoridDu, B=25823711000en_HK
dc.identifier.scopusauthoridWu, L=15062089100en_HK

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