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Conference Paper: Simultaneous LQ optimal control design for discrete-time systems and sampled-data systems

TitleSimultaneous LQ optimal control design for discrete-time systems and sampled-data systems
Authors
KeywordsOptimal control
Periodic systems
Piecewise constant output feedback (COF)
Simultaneous stabilization
Issue Date2000
PublisherIEEE. The Journal's web site is located at http://www.ieeecss.org
Citation
Proceedings Of The Ieee Conference On Decision And Control, 2000, v. 4, p. 3690-3695 How to Cite?
AbstractThis paper is concerned with simultaneous LQ optimal control design for discrete-time and sampled-data systems. First is shown that discrete-time simultaneous LQ design problem of a set of discrete-time systems can be reduced to solving a set of coupled matrix inequalities. An iterative LMI algorithm is presented to solve the feasibility and the feedback gain. Then simultaneous stabilization and simultaneous LQ optimal control of a set of LTI continuous-time systems is considered via piecewise constant output feedback. It is shown that the design of a periodic piecewise constant feedback gain simultaneously minimizing a set of given continuous-time performance indexes for a set of LTI continuous-time systems can be reduced to that of a constant feedback gain minimizing a set of equivalent discrete-time performance indexes for a set of LTI discrete-time systems. Explicit algorithms for computing the equivalent discrete-time systems and performance indexes are derived. Examples are used to demonstrate the effectiveness of the proposed method.
Persistent Identifierhttp://hdl.handle.net/10722/46660
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorCao, YYen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorSun, YXen_HK
dc.date.accessioned2007-10-30T06:55:20Z-
dc.date.available2007-10-30T06:55:20Z-
dc.date.issued2000en_HK
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 2000, v. 4, p. 3690-3695en_HK
dc.identifier.issn0191-2216en_HK
dc.identifier.urihttp://hdl.handle.net/10722/46660-
dc.description.abstractThis paper is concerned with simultaneous LQ optimal control design for discrete-time and sampled-data systems. First is shown that discrete-time simultaneous LQ design problem of a set of discrete-time systems can be reduced to solving a set of coupled matrix inequalities. An iterative LMI algorithm is presented to solve the feasibility and the feedback gain. Then simultaneous stabilization and simultaneous LQ optimal control of a set of LTI continuous-time systems is considered via piecewise constant output feedback. It is shown that the design of a periodic piecewise constant feedback gain simultaneously minimizing a set of given continuous-time performance indexes for a set of LTI continuous-time systems can be reduced to that of a constant feedback gain minimizing a set of equivalent discrete-time performance indexes for a set of LTI discrete-time systems. Explicit algorithms for computing the equivalent discrete-time systems and performance indexes are derived. Examples are used to demonstrate the effectiveness of the proposed method.en_HK
dc.format.extent605125 bytes-
dc.format.extent10566 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherIEEE. The Journal's web site is located at http://www.ieeecss.orgen_HK
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rights©2000 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.en_HK
dc.subjectOptimal controlen_HK
dc.subjectPeriodic systemsen_HK
dc.subjectPiecewise constant output feedback (COF)en_HK
dc.subjectSimultaneous stabilizationen_HK
dc.titleSimultaneous LQ optimal control design for discrete-time systems and sampled-data systemsen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0743-1546&volume=4&spage=3690&epage=3695&date=2000&atitle=Simultaneous+LQ+optimal+control+design+for+discrete-time+systems+and+sampled-data+systemsen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/CDC.2000.912283en_HK
dc.identifier.scopuseid_2-s2.0-0034438699en_HK
dc.identifier.hkuros62556-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034438699&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume4en_HK
dc.identifier.spage3690en_HK
dc.identifier.epage3695en_HK
dc.identifier.scopusauthoridCao, YY=7404524106en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridSun, YX=7406426134en_HK

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