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Article: Robust peak-to-peak model reduction for uncertain linear systems: Continuous- and discrete-time cases

TitleRobust peak-to-peak model reduction for uncertain linear systems: Continuous- and discrete-time cases
Authors
KeywordsCone Complementarity Linearization
Linear Systems
Lmi
Model Reduction
Peak-To-Peak Performance
Issue Date2007
Citation
Dynamics Of Continuous, Discrete And Impulsive Systems Series B: Applications And Algorithms, 2007, v. 14 n. 2, p. 291-304 How to Cite?
AbstractThis paper investigates the problem of robust peak-to-peak model reduction for continuous- and discrete-time uncertain linear systems. For a given stable system, our purpose is to construct reduced-order systems, such that the error system between these two models is asymptotically stable and has a guaranteed peak-to-peak performance. This problem is solved by using the projection lemma and sufficient conditions are obtained for the existence of admissible reduced-order models in terms of linear matrix inequalities (LMIs) plus matrix inverse constraints. Since these obtained conditions are not expressed as strict LMIs, the cone complementarity linearization (CCL) method is exploited to cast them into nonlinear minimization problems subject to LMI constraints, which can be readily solved by standard numerical software. In addition, the development of zerothorder model is also presented. Both continuous- and discrete-time cases are considered. The efficiency of the proposed methods is demonstrated via numerical examples. Copyright © 2006 Watam Press.
Persistent Identifierhttp://hdl.handle.net/10722/156890
ISSN
2006 Impact Factor: 0.193
2015 SCImago Journal Rankings: 0.563
References

 

DC FieldValueLanguage
dc.contributor.authorLi, Yen_US
dc.contributor.authorGao, Hen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorWang, Cen_US
dc.date.accessioned2012-08-08T08:44:26Z-
dc.date.available2012-08-08T08:44:26Z-
dc.date.issued2007en_US
dc.identifier.citationDynamics Of Continuous, Discrete And Impulsive Systems Series B: Applications And Algorithms, 2007, v. 14 n. 2, p. 291-304en_US
dc.identifier.issn1492-8760en_US
dc.identifier.urihttp://hdl.handle.net/10722/156890-
dc.description.abstractThis paper investigates the problem of robust peak-to-peak model reduction for continuous- and discrete-time uncertain linear systems. For a given stable system, our purpose is to construct reduced-order systems, such that the error system between these two models is asymptotically stable and has a guaranteed peak-to-peak performance. This problem is solved by using the projection lemma and sufficient conditions are obtained for the existence of admissible reduced-order models in terms of linear matrix inequalities (LMIs) plus matrix inverse constraints. Since these obtained conditions are not expressed as strict LMIs, the cone complementarity linearization (CCL) method is exploited to cast them into nonlinear minimization problems subject to LMI constraints, which can be readily solved by standard numerical software. In addition, the development of zerothorder model is also presented. Both continuous- and discrete-time cases are considered. The efficiency of the proposed methods is demonstrated via numerical examples. Copyright © 2006 Watam Press.en_US
dc.languageengen_US
dc.relation.ispartofDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithmsen_US
dc.subjectCone Complementarity Linearizationen_US
dc.subjectLinear Systemsen_US
dc.subjectLmien_US
dc.subjectModel Reductionen_US
dc.subjectPeak-To-Peak Performanceen_US
dc.titleRobust peak-to-peak model reduction for uncertain linear systems: Continuous- and discrete-time casesen_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.scopuseid_2-s2.0-34247184591en_US
dc.identifier.hkuros133158-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34247184591&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume14en_US
dc.identifier.issue2en_US
dc.identifier.spage291en_US
dc.identifier.epage304en_US
dc.publisher.placeCanadaen_US
dc.identifier.scopusauthoridLi, Y=9235884800en_US
dc.identifier.scopusauthoridGao, H=7402971422en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridWang, C=8337851300en_US

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