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Article: Non-fragile positive real control for uncertain linear neutral delay systems

TitleNon-fragile positive real control for uncertain linear neutral delay systems
Authors
KeywordsController Fragility
Delay Systems
Fragile
Linear Matrix Inequality
Neutral Systems
Positive Real Control
Uncertain Systems
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2004, v. 52 n. 1, p. 59-74 How to Cite?
AbstractThis paper is concerned with the problem of non-fragile positive real control for uncertain neutral delay systems with time-invariant norm-bounded parameter uncertainty. Time delays are assumed to appear in both the state and the controlled output equations. The state feedback gains are with norm-bounded controller uncertainties. For both the cases with additive and multiplicative controller uncertainties, we address the problem of designing memoryless state feedback controllers such that, for all admissible uncertainties, the resulting closed-loop system is stable and the closed-loop transfer function is extended strictly positive real. Sufficient conditions for the existence of desired controllers are given in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, the expected memoryless state feedback controller can be easily constructed via convex optimization. An illustrative example is given to demonstrate the validity and applicability of the proposed approach. © 2003 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156759
ISSN
2015 Impact Factor: 1.908
2015 SCImago Journal Rankings: 2.323
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorXu, Sen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorWang, Jen_US
dc.contributor.authorYang, GHen_US
dc.date.accessioned2012-08-08T08:43:51Z-
dc.date.available2012-08-08T08:43:51Z-
dc.date.issued2004en_US
dc.identifier.citationSystems And Control Letters, 2004, v. 52 n. 1, p. 59-74en_US
dc.identifier.issn0167-6911en_US
dc.identifier.urihttp://hdl.handle.net/10722/156759-
dc.description.abstractThis paper is concerned with the problem of non-fragile positive real control for uncertain neutral delay systems with time-invariant norm-bounded parameter uncertainty. Time delays are assumed to appear in both the state and the controlled output equations. The state feedback gains are with norm-bounded controller uncertainties. For both the cases with additive and multiplicative controller uncertainties, we address the problem of designing memoryless state feedback controllers such that, for all admissible uncertainties, the resulting closed-loop system is stable and the closed-loop transfer function is extended strictly positive real. Sufficient conditions for the existence of desired controllers are given in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, the expected memoryless state feedback controller can be easily constructed via convex optimization. An illustrative example is given to demonstrate the validity and applicability of the proposed approach. © 2003 Elsevier B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconleen_US
dc.relation.ispartofSystems and Control Lettersen_US
dc.subjectController Fragilityen_US
dc.subjectDelay Systemsen_US
dc.subjectFragileen_US
dc.subjectLinear Matrix Inequalityen_US
dc.subjectNeutral Systemsen_US
dc.subjectPositive Real Controlen_US
dc.subjectUncertain Systemsen_US
dc.titleNon-fragile positive real control for uncertain linear neutral delay systemsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.sysconle.2003.11.001en_US
dc.identifier.scopuseid_2-s2.0-1842425365en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1842425365&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume52en_US
dc.identifier.issue1en_US
dc.identifier.spage59en_US
dc.identifier.epage74en_US
dc.identifier.isiWOS:000220983600007-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridWang, J=7701308538en_US
dc.identifier.scopusauthoridYang, GH=7405751358en_US

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