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Article: Robust eigenvalue assignment in second-order systems: A gradient flow approach

TitleRobust eigenvalue assignment in second-order systems: A gradient flow approach
Authors
Chan, HCLam, JHo, DWC
KeywordsFeedback Control
Gradient Flow
Robust Eigenvalue Assignment
Second-Order Systems
Issue Date1997
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/2133
Citation
Optimal Control Applications And Methods, 1997, v. 18 n. 4, p. 283-296 How to Cite?
AbstractIn this paper the problem of robust eigenvalue assignment in second-order systems by combined derivative and proportional state feedback is examined. It is shown that almost arbitrary assignment can be achieved by solving a linear matrix equation or symmetric linear system. Based on the fact that the robustness of the spectrum is characterized by the condition number of the eigenvectors, an alternative objective function is defined and minimized by utilizing the gradient flow technique. Numerical tests are performed to illustrate the approach. © 1997 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/156465
ISSN
0143-2087
2023 Impact Factor: 2.0
2023 SCImago Journal Rankings: 0.553
ISI Accession Number ID
WOS:A1997XQ91200004
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChan, HCen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorHo, DWCen_US
dc.date.accessioned2012-08-08T08:42:32Z-
dc.date.available2012-08-08T08:42:32Z-
dc.date.issued1997en_US
dc.identifier.citationOptimal Control Applications And Methods, 1997, v. 18 n. 4, p. 283-296en_US
dc.identifier.issn0143-2087en_US
dc.identifier.urihttp://hdl.handle.net/10722/156465-
dc.description.abstractIn this paper the problem of robust eigenvalue assignment in second-order systems by combined derivative and proportional state feedback is examined. It is shown that almost arbitrary assignment can be achieved by solving a linear matrix equation or symmetric linear system. Based on the fact that the robustness of the spectrum is characterized by the condition number of the eigenvectors, an alternative objective function is defined and minimized by utilizing the gradient flow technique. Numerical tests are performed to illustrate the approach. © 1997 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/2133en_US
dc.relation.ispartofOptimal Control Applications and Methodsen_US
dc.subjectFeedback Controlen_US
dc.subjectGradient Flowen_US
dc.subjectRobust Eigenvalue Assignmenten_US
dc.subjectSecond-Order Systemsen_US
dc.titleRobust eigenvalue assignment in second-order systems: A gradient flow approachen_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.scopuseid_2-s2.0-0031186411en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0031186411&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume18en_US
dc.identifier.issue4en_US
dc.identifier.spage283en_US
dc.identifier.epage296en_US
dc.identifier.isiWOS:A1997XQ91200004-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChan, HC=7403402845en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridHo, DWC=7402971938en_US
dc.identifier.issnl0143-2087-

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