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Article: Robust H∞ dynamic output feedback control for 2D linear parameter-varying systems

TitleRobust H∞ dynamic output feedback control for 2D linear parameter-varying systems
Authors
Keywords2D Systems
Dynamic Output Feedback
Linear Parameter-Varying (LPV) Systems
Parameterized Linear Matrix Inequalities (PLMIs)
Robust H∞ Control
Issue Date2009
PublisherOxford University Press. The Journal's web site is located at http://imamci.oxfordjournals.org/
Citation
IMA Journal of Mathematical Control and Information, 2009, v. 26 n. 1, p. 23-44 How to Cite?
AbstractThis paper is concerned with the problem of robust H∞ dynamic output feedback control for 2D discrete-time linear parameter-varying systems. Given a Fornasini-Marchesini local state-space system with linear varying parameters, our attention is focussed on the design of full-order H∞ dynamic output feedback controller, which guarantees the closed-loop system to be asymptotically stable and has a prescribed H∞ disturbance attenuation performance. A sufficient condition for the existence of a desired robust output feedback controller is established in terms of parameterized linear matrix inequalities, and the corresponding controller synthesis is cast into a convex optimization problem which can be efficiently handled by using standard numerical software. A numerical example is provided to illustrate the effectiveness of the proposed design method. © The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156997
ISSN
2015 Impact Factor: 1.156
2015 SCImago Journal Rankings: 0.661
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWu, Len_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorWang, Cen_US
dc.date.accessioned2012-08-08T08:44:52Z-
dc.date.available2012-08-08T08:44:52Z-
dc.date.issued2009en_US
dc.identifier.citationIMA Journal of Mathematical Control and Information, 2009, v. 26 n. 1, p. 23-44en_US
dc.identifier.issn0265-0754en_US
dc.identifier.urihttp://hdl.handle.net/10722/156997-
dc.description.abstractThis paper is concerned with the problem of robust H∞ dynamic output feedback control for 2D discrete-time linear parameter-varying systems. Given a Fornasini-Marchesini local state-space system with linear varying parameters, our attention is focussed on the design of full-order H∞ dynamic output feedback controller, which guarantees the closed-loop system to be asymptotically stable and has a prescribed H∞ disturbance attenuation performance. A sufficient condition for the existence of a desired robust output feedback controller is established in terms of parameterized linear matrix inequalities, and the corresponding controller synthesis is cast into a convex optimization problem which can be efficiently handled by using standard numerical software. A numerical example is provided to illustrate the effectiveness of the proposed design method. © The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.en_US
dc.languageengen_US
dc.publisherOxford University Press. The Journal's web site is located at http://imamci.oxfordjournals.org/en_US
dc.relation.ispartofIMA Journal of Mathematical Control and Informationen_US
dc.subject2D Systemsen_US
dc.subjectDynamic Output Feedbacken_US
dc.subjectLinear Parameter-Varying (LPV) Systemsen_US
dc.subjectParameterized Linear Matrix Inequalities (PLMIs)en_US
dc.subjectRobust H∞ Controlen_US
dc.titleRobust H∞ dynamic output feedback control for 2D linear parameter-varying 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.doi10.1093/imamci/dnm028en_US
dc.identifier.scopuseid_2-s2.0-63049085479en_US
dc.identifier.hkuros164220-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-63049085479&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume26en_US
dc.identifier.issue1en_US
dc.identifier.spage23en_US
dc.identifier.epage44en_US
dc.identifier.isiWOS:000264190900002-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridWu, L=15062089100en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridWang, C=8337851300en_US
dc.identifier.citeulike4245765-
dc.customcontrol.immutablejt 130319-

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