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Conference Paper: Simultaneous H ∞ stabilization via fixed-order controllers: Equivalence and computation

TitleSimultaneous H ∞ stabilization via fixed-order controllers: Equivalence and computation
Authors
Shu, ZLam, JLi, P
KeywordsFixed-order controller
H ∞ control
Iterative calculation
Linear matrix inequality (LMI)
Simultaneous H ∞ stabilization
Strong stabilization
Structural gains
Issue Date2009
PublisherIEEE. The Journal's web site is located at http://www.ieeecss.org
Citation
The 48th IEEE Conference on Decision and Control held jointly with the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 3244-3249 How to Cite?
DOI: http://dx.doi.org/10.1109/CDC.2009.5399633
AbstractThis paper is concerned with simultaneous H ∞ stabilization with a fixed-order constraint on the controllers for multi-input/multi-output (MIMO) plants. By virtue of a new closed-loop stability and H ∞ performance characterization, a novel necessary and sufficient condition for the existence of desired controllers is established in terms of a set of nonlinear matrix inequalities, which possess a monotonic structure for a linearized computation. A convergent iterative algorithm is then provided to solve the condition, and a special property of the feasible solutions enables one to further improve the solvability via simple optimization on initial values. In addition, structural constraints on the controller gains or strong stabilizability can be incorporated into the design procedure in a straightforward manner. ©2009 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/126345
ISSN
0191-2216
2020 SCImago Journal Rankings: 0.395
ISI Accession Number ID
WOS:000336893603122
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorShu, Zen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorLi, Pen_HK
dc.date.accessioned2010-10-31T12:23:17Z-
dc.date.available2010-10-31T12:23:17Z-
dc.date.issued2009en_HK
dc.identifier.citationThe 48th IEEE Conference on Decision and Control held jointly with the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 3244-3249en_HK
dc.identifier.issn0191-2216en_HK
dc.identifier.urihttp://hdl.handle.net/10722/126345-
dc.description.abstractThis paper is concerned with simultaneous H ∞ stabilization with a fixed-order constraint on the controllers for multi-input/multi-output (MIMO) plants. By virtue of a new closed-loop stability and H ∞ performance characterization, a novel necessary and sufficient condition for the existence of desired controllers is established in terms of a set of nonlinear matrix inequalities, which possess a monotonic structure for a linearized computation. A convergent iterative algorithm is then provided to solve the condition, and a special property of the feasible solutions enables one to further improve the solvability via simple optimization on initial values. In addition, structural constraints on the controller gains or strong stabilizability can be incorporated into the design procedure in a straightforward manner. ©2009 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE. The Journal's web site is located at http://www.ieeecss.org-
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Control, CDC/CCC 2009en_HK
dc.rights©2009 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.-
dc.subjectFixed-order controlleren_HK
dc.subjectH ∞ controlen_HK
dc.subjectIterative calculationen_HK
dc.subjectLinear matrix inequality (LMI)en_HK
dc.subjectSimultaneous H ∞ stabilizationen_HK
dc.subjectStrong stabilizationen_HK
dc.subjectStructural gainsen_HK
dc.titleSimultaneous H ∞ stabilization via fixed-order controllers: Equivalence and computationen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0743-1546&volume=&spage=3244&epage=3249&date=2009&atitle=Simultaneous+ℋ∞+stabilization+via+fixed-order+controllers:+Equivalence+and+computation-
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CDC.2009.5399633en_HK
dc.identifier.scopuseid_2-s2.0-77950792845en_HK
dc.identifier.hkuros179727en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77950792845&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage3244en_HK
dc.identifier.epage3249en_HK
dc.identifier.isiWOS:000336893603122-
dc.description.otherThe 48th IEEE Conference on Decision and Control held jointly with the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 15-18 December 2009. In Proceedings of CDC/CCC, 2009, p. 3244-3249-
dc.identifier.scopusauthoridShu, Z=25652150400en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridLi, P=35069715100en_HK
dc.identifier.citeulike7750878-
dc.identifier.issnl0191-2216-

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