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Article: H∞ output feedback control for two-dimensional continuous systems

TitleH∞ output feedback control for two-dimensional continuous systems
Authors
KeywordsBounded Realness
H∞ Control
Linear Matrix Inequality
Output Feedback
Two-Dimensional Continuous Systems
Issue Date2008
Citation
Dynamics Of Continuous, Discrete And Impulsive Systems Series B: Applications And Algorithms, 2008, v. 15 n. 1, p. 1-14 How to Cite?
AbstractThis paper is concerned with the problem of H∞ control for two-dimensional (2-D) continuous systems described by the Roesser state space model. Attention is focused on the design of full-order dynamic output feedback controllers which not only stabilize the given 2-D continuous system, but also reduce the H∞ norm of the closed-loop transfer function, from the disturbance to the controlled output, to a prescribed level. A version of the bounded realness of 2-D continuous systems is established. Based on this, a sufficient condition for the solvability of the H∞ control problem is obtained in terms of a set of linear matrix inequalities (LMIs). Then, a desired dynamic output feedback controller can be constructed by solving these LMIs. Finally, an illustrative example is provided to demonstrate the applicability of the proposed method. Copyright © 2008 Watam Press.
Persistent Identifierhttp://hdl.handle.net/10722/156941
ISSN
2006 Impact Factor: 0.193
2015 SCImago Journal Rankings: 0.563
References

 

DC FieldValueLanguage
dc.contributor.authorXu, Sen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorZou, Yen_US
dc.contributor.authorLin, Zen_US
dc.contributor.authorGalkowski, Ken_US
dc.date.accessioned2012-08-08T08:44:38Z-
dc.date.available2012-08-08T08:44:38Z-
dc.date.issued2008en_US
dc.identifier.citationDynamics Of Continuous, Discrete And Impulsive Systems Series B: Applications And Algorithms, 2008, v. 15 n. 1, p. 1-14en_US
dc.identifier.issn1492-8760en_US
dc.identifier.urihttp://hdl.handle.net/10722/156941-
dc.description.abstractThis paper is concerned with the problem of H∞ control for two-dimensional (2-D) continuous systems described by the Roesser state space model. Attention is focused on the design of full-order dynamic output feedback controllers which not only stabilize the given 2-D continuous system, but also reduce the H∞ norm of the closed-loop transfer function, from the disturbance to the controlled output, to a prescribed level. A version of the bounded realness of 2-D continuous systems is established. Based on this, a sufficient condition for the solvability of the H∞ control problem is obtained in terms of a set of linear matrix inequalities (LMIs). Then, a desired dynamic output feedback controller can be constructed by solving these LMIs. Finally, an illustrative example is provided to demonstrate the applicability of the proposed method. Copyright © 2008 Watam Press.en_US
dc.languageengen_US
dc.relation.ispartofDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithmsen_US
dc.subjectBounded Realnessen_US
dc.subjectH∞ Controlen_US
dc.subjectLinear Matrix Inequalityen_US
dc.subjectOutput Feedbacken_US
dc.subjectTwo-Dimensional Continuous Systemsen_US
dc.titleH∞ output feedback control for two-dimensional continuous 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.scopuseid_2-s2.0-39449086521en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-39449086521&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume15en_US
dc.identifier.issue1en_US
dc.identifier.spage1en_US
dc.identifier.epage14en_US
dc.publisher.placeCanadaen_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridZou, Y=7402166773en_US
dc.identifier.scopusauthoridLin, Z=7404229052en_US
dc.identifier.scopusauthoridGalkowski, K=7003620439en_US

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