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Article: LMI synthesis of H2 and mixed H2/H∞ controllers for singular systems

TitleLMI synthesis of H2 and mixed H2/H∞ controllers for singular systems
Authors
Zhang, LHuang, BLam, J
KeywordsH2 controller
Linear matrix inequality (LMI)
Mixed H2/H∞ controller
Singular systems
Issue Date2003
PublisherIEEE.
Citation
Ieee Transactions On Circuits And Systems Ii: Analog And Digital Signal Processing, 2003, v. 50 n. 9, p. 615-626 How to Cite?
DOI: http://dx.doi.org/10.1109/TCSII.2003.816904
AbstractThis paper considers the H2 control problems for continuous-time singular systems with and without an H∞ constraint. Without the constraint, we derive necessary and sufficient conditions for the existence of H2 output feedback controllers using the linear matrix inequality (LMI) approach. With the H∞ constraint, sufficient LMI conditions on the existence of the H2 controller are obtained. In both cases, the desired H2 controller can be constructed through the feasible solutions of the LMIs. The proposed synthesis method is illustrated through numerical examples.
Persistent Identifierhttp://hdl.handle.net/10722/43062
ISSN
1057-7130
ISI Accession Number ID
WOS:000185397400010
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, Len_HK
dc.contributor.authorHuang, Ben_HK
dc.contributor.authorLam, Jen_HK
dc.date.accessioned2007-03-23T04:37:55Z-
dc.date.available2007-03-23T04:37:55Z-
dc.date.issued2003en_HK
dc.identifier.citationIeee Transactions On Circuits And Systems Ii: Analog And Digital Signal Processing, 2003, v. 50 n. 9, p. 615-626en_HK
dc.identifier.issn1057-7130en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43062-
dc.description.abstractThis paper considers the H2 control problems for continuous-time singular systems with and without an H∞ constraint. Without the constraint, we derive necessary and sufficient conditions for the existence of H2 output feedback controllers using the linear matrix inequality (LMI) approach. With the H∞ constraint, sufficient LMI conditions on the existence of the H2 controller are obtained. In both cases, the desired H2 controller can be constructed through the feasible solutions of the LMIs. The proposed synthesis method is illustrated through numerical examples.en_HK
dc.format.extent1029886 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 Circuits and Systems II: Analog and Digital Signal Processingen_HK
dc.rights©2003 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.subjectH2 controlleren_HK
dc.subjectLinear matrix inequality (LMI)en_HK
dc.subjectMixed H2/H∞ controlleren_HK
dc.subjectSingular systemsen_HK
dc.titleLMI synthesis of H2 and mixed H2/H∞ controllers for singular systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1057-7130&volume=50&issue=9&spage=615&epage=626&date=2003&atitle=LMI+synthesis+of+H2+and+mixed+H2/H∞+controllers+for+singular+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/TCSII.2003.816904en_HK
dc.identifier.scopuseid_2-s2.0-0141954040en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0141954040&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume50en_HK
dc.identifier.issue9en_HK
dc.identifier.spage615en_HK
dc.identifier.epage626en_HK
dc.identifier.isiWOS:000185397400010-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhang, L=9039499900en_HK
dc.identifier.scopusauthoridHuang, B=11839993500en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.issnl1057-7130-

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