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Article: On simultaneous H∞ control and strong H∞ stabilization

TitleOn simultaneous H∞ control and strong H∞ stabilization
Authors
Issue Date2000
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 2000, v. 36 n. 6, p. 859-865 How to Cite?
AbstractIn this note, the simultaneous H∞ control problem is addressed. It is first shown that the existence of a single controller which simultaneously stabilizes two systems with a given H∞ norm level is equivalent to that of a strong H∞ stabilization controller of an associated system. Moreover, the result is extended to the case involving r (>2) systems. Then a sufficient condition for the strong H∞ stabilization is proposed based on the bounded real lemma. Finally, a simple numerical example is presented to show the effectiveness of the result.
Persistent Identifierhttp://hdl.handle.net/10722/156543
ISSN
2015 Impact Factor: 3.635
2015 SCImago Journal Rankings: 4.315
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorCao, YYen_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:42:53Z-
dc.date.available2012-08-08T08:42:53Z-
dc.date.issued2000en_US
dc.identifier.citationAutomatica, 2000, v. 36 n. 6, p. 859-865en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/156543-
dc.description.abstractIn this note, the simultaneous H∞ control problem is addressed. It is first shown that the existence of a single controller which simultaneously stabilizes two systems with a given H∞ norm level is equivalent to that of a strong H∞ stabilization controller of an associated system. Moreover, the result is extended to the case involving r (>2) systems. Then a sufficient condition for the strong H∞ stabilization is proposed based on the bounded real lemma. Finally, a simple numerical example is presented to show the effectiveness of the result.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automaticaen_US
dc.relation.ispartofAutomaticaen_US
dc.titleOn simultaneous H∞ control and strong H∞ stabilizationen_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.doi10.1016/S0005-1098(99)00212-5en_US
dc.identifier.scopuseid_2-s2.0-0033890504en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033890504&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume36en_US
dc.identifier.issue6en_US
dc.identifier.spage859en_US
dc.identifier.epage865en_US
dc.identifier.isiWOS:000086812600005-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCao, YY=7404524106en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US

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