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Article: Robust eigenstructure assignment with minimum subspace separation

TitleRobust eigenstructure assignment with minimum subspace separation
Authors
KeywordsEigenstructure Assignment
Stability Robustness
Unconstrained Optimization
Issue Date2004
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, 2004, v. 14 n. 15, p. 1227-1253 How to Cite?
AbstractA computation method for delivering a state feedback controller that assigns closed-loop eigenstructure with a minimum subspace separation and is robust towards unstructured perturbations is presented. The subspace separation is measured via the difference between two subspace projections, while the eigenstructure robustness is achieved by maximizing an upper bound on the allowable perturbation size such that the closed-loop system remains stable. By exploiting the Sylvester equation parametrization, the constraint of pole assignment can be satisfied intrinsically and the robust eigenstructure assignment design essentially becomes an unconstrained optimization task. Analytical gradient formulas of the objective functions to be handled are developed. The design approach is demonstrated through numerical examples. Copyright © 2004 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/156971
ISSN
2015 Impact Factor: 2.527
2015 SCImago Journal Rankings: 2.134
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLam, Jen_US
dc.contributor.authorTam, HKen_US
dc.date.accessioned2012-08-08T08:44:46Z-
dc.date.available2012-08-08T08:44:46Z-
dc.date.issued2004en_US
dc.identifier.citationInternational Journal Of Robust And Nonlinear Control, 2004, v. 14 n. 15, p. 1227-1253en_US
dc.identifier.issn1049-8923en_US
dc.identifier.urihttp://hdl.handle.net/10722/156971-
dc.description.abstractA computation method for delivering a state feedback controller that assigns closed-loop eigenstructure with a minimum subspace separation and is robust towards unstructured perturbations is presented. The subspace separation is measured via the difference between two subspace projections, while the eigenstructure robustness is achieved by maximizing an upper bound on the allowable perturbation size such that the closed-loop system remains stable. By exploiting the Sylvester equation parametrization, the constraint of pole assignment can be satisfied intrinsically and the robust eigenstructure assignment design essentially becomes an unconstrained optimization task. Analytical gradient formulas of the objective functions to be handled are developed. The design approach is demonstrated through numerical examples. Copyright © 2004 John Wiley & 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.subjectEigenstructure Assignmenten_US
dc.subjectStability Robustnessen_US
dc.subjectUnconstrained Optimizationen_US
dc.titleRobust eigenstructure assignment with minimum subspace separationen_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.941en_US
dc.identifier.scopuseid_2-s2.0-4744374019en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4744374019&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume14en_US
dc.identifier.issue15en_US
dc.identifier.spage1227en_US
dc.identifier.epage1253en_US
dc.identifier.isiWOS:000224258200001-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridTam, HK=7101835047en_US

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