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Article: A computational method for simultaneous LQ optimal control design via piecewise constant output feedback

TitleA computational method for simultaneous LQ optimal control design via piecewise constant output feedback
Authors
KeywordsOptimal control
Periodic systems
Piecewise constant output feedback
Simultaneous stabilization
Issue Date2001
PublisherIEEE.
Citation
Ieee Transactions On Systems, Man, And Cybernetics, Part B: Cybernetics, 2001, v. 31 n. 5, p. 836-842 How to Cite?
AbstractThis paper is concerned with simultaneous linear-quadratic (LQ) optimal control design for a set of LTI systems via piecewise constant output feedback. First, the discrete-time simultaneous LQ optimal control design problem is reduced to solving a set of coupled matrix inequalities and an iterative LMI algorithm is presented to compute the feedback gain. Then, simultaneous stabilization and simultaneous LQ optimal control design of a set of LTI continuous-time systems are considered via periodic piecewise constant feedback gain. It is shown that the design of a periodic piecewise constant feedback gain simultaneously minimizing a set of given continuous-time performance indexes can be reduced to that of a constant feedback gain minimizing a set of equivalent discrete-time performance indexes. Explicit formulas 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/10722/43041
ISSN
2014 Impact Factor: 6.22
2015 SCImago Journal Rankings: 3.921
References

 

DC FieldValueLanguage
dc.contributor.authorCao, YYen_HK
dc.contributor.authorLam, Jen_HK
dc.date.accessioned2007-03-23T04:37:28Z-
dc.date.available2007-03-23T04:37:28Z-
dc.date.issued2001en_HK
dc.identifier.citationIeee Transactions On Systems, Man, And Cybernetics, Part B: Cybernetics, 2001, v. 31 n. 5, p. 836-842en_HK
dc.identifier.issn1083-4419en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43041-
dc.description.abstractThis paper is concerned with simultaneous linear-quadratic (LQ) optimal control design for a set of LTI systems via piecewise constant output feedback. First, the discrete-time simultaneous LQ optimal control design problem is reduced to solving a set of coupled matrix inequalities and an iterative LMI algorithm is presented to compute the feedback gain. Then, simultaneous stabilization and simultaneous LQ optimal control design of a set of LTI continuous-time systems are considered via periodic piecewise constant feedback gain. It is shown that the design of a periodic piecewise constant feedback gain simultaneously minimizing a set of given continuous-time performance indexes can be reduced to that of a constant feedback gain minimizing a set of equivalent discrete-time performance indexes. Explicit formulas 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.extent238768 bytes-
dc.format.extent35328 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cyberneticsen_HK
dc.rights©2001 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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectOptimal controlen_HK
dc.subjectPeriodic systemsen_HK
dc.subjectPiecewise constant output feedbacken_HK
dc.subjectSimultaneous stabilizationen_HK
dc.titleA computational method for simultaneous LQ optimal control design via piecewise constant output feedbacken_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1083-4419&volume=31&issue=5&spage=836&epage=842&date=2001&atitle=A+computational+method+for+simultaneous+LQ+optimal+control+design+via+piecewise+constant+output+feedbacken_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.doi10.1109/3477.956046en_HK
dc.identifier.scopuseid_2-s2.0-0035481418en_HK
dc.identifier.hkuros70299-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035481418&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume31en_HK
dc.identifier.issue5en_HK
dc.identifier.spage836en_HK
dc.identifier.epage842en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridCao, YY=7404524106en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK

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