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Article: An augmented system approach to static output-feedback stabilization with h ∞ performance for continuous-time plants

TitleAn augmented system approach to static output-feedback stabilization with h ∞ performance for continuous-time plants
Authors
KeywordsAugmented Representation
H ∞ Performance
Iterative Calculation
Linear Matrix Inequality (Lmi)
Stabilization
Static Output Feedback
Issue Date2009
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510
Citation
International Journal Of Robust And Nonlinear Control, 2009, v. 19 n. 7, p. 768-785 How to Cite?
AbstractThis paper revisits the static output-feedback stabilization problem of continuous-time linear systems from a novel perspective. The closed-loop system is represented in an augmented form, which facilitates the parametrization of the controller matrix. Then, new equivalent characterizations on stability and H ∞ performance of the closed-loop system are established in terms of matrix inequalities. On the basis of these characterizations, a necessary and sufficient condition with slack matrices for output-feedback stabilizability is proposed, and an iteration algorithm is given to solve the condition. An extension to output-feedback H ∞ control is provided as well. The effectiveness and merits of the proposed approach are shown through several examples. Copyright © 2008 John Wiley and Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/157009
ISSN
2015 Impact Factor: 2.527
2015 SCImago Journal Rankings: 2.134
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorShu, Zen_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:44:56Z-
dc.date.available2012-08-08T08:44:56Z-
dc.date.issued2009en_US
dc.identifier.citationInternational Journal Of Robust And Nonlinear Control, 2009, v. 19 n. 7, p. 768-785en_US
dc.identifier.issn1049-8923en_US
dc.identifier.urihttp://hdl.handle.net/10722/157009-
dc.description.abstractThis paper revisits the static output-feedback stabilization problem of continuous-time linear systems from a novel perspective. The closed-loop system is represented in an augmented form, which facilitates the parametrization of the controller matrix. Then, new equivalent characterizations on stability and H ∞ performance of the closed-loop system are established in terms of matrix inequalities. On the basis of these characterizations, a necessary and sufficient condition with slack matrices for output-feedback stabilizability is proposed, and an iteration algorithm is given to solve the condition. An extension to output-feedback H ∞ control is provided as well. The effectiveness and merits of the proposed approach are shown through several examples. Copyright © 2008 John Wiley and Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510en_US
dc.relation.ispartofInternational Journal of Robust and Nonlinear Controlen_US
dc.subjectAugmented Representationen_US
dc.subjectH ∞ Performanceen_US
dc.subjectIterative Calculationen_US
dc.subjectLinear Matrix Inequality (Lmi)en_US
dc.subjectStabilizationen_US
dc.subjectStatic Output Feedbacken_US
dc.titleAn augmented system approach to static output-feedback stabilization with h ∞ performance for continuous-time plantsen_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.doi10.1002/rnc.1348en_US
dc.identifier.scopuseid_2-s2.0-67649148349en_US
dc.identifier.hkuros164264-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67649148349&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume19en_US
dc.identifier.issue7en_US
dc.identifier.spage768en_US
dc.identifier.epage785en_US
dc.identifier.isiWOS:000265541100003-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridShu, Z=25652150400en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US

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