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Article: Pole assignment with eigenvalue and stability robustness

TitlePole assignment with eigenvalue and stability robustness
Authors
Issue Date1999
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp
Citation
International Journal Of Control, 1999, v. 72 n. 13, p. 1165-1174 How to Cite?
AbstractThis paper presents a computation method for pole assignment with eigenvalue and stability robustness. The robustness measure is constructed to balance the tradeoff between an eigenvalue sensitivity measure and a stability robustness measure, both defined in terms of the non-differentiable spectral norm. It is established that the robustness measure can be minimized asymptotically via a sequence of smooth unconstrained minimizations involving some auxiliary objective functions. Moreover, the sequence of minimizers converges to the set of minimizers of the robustness measure. A numerical algorithm with analytical formulae of the gradient of the auxiliary objective functions is provided. Through a numerical example and comparing with other methods, the idea of using a combined robustness measure in the design is illustrated and the effectiveness of the computation is demonstrated.
Persistent Identifierhttp://hdl.handle.net/10722/156526
ISSN
2015 Impact Factor: 1.88
2015 SCImago Journal Rankings: 1.494
References

 

DC FieldValueLanguage
dc.contributor.authorLam, Jen_US
dc.contributor.authorYan, WYen_US
dc.contributor.authorHu, Ten_US
dc.date.accessioned2012-08-08T08:42:49Z-
dc.date.available2012-08-08T08:42:49Z-
dc.date.issued1999en_US
dc.identifier.citationInternational Journal Of Control, 1999, v. 72 n. 13, p. 1165-1174en_US
dc.identifier.issn0020-7179en_US
dc.identifier.urihttp://hdl.handle.net/10722/156526-
dc.description.abstractThis paper presents a computation method for pole assignment with eigenvalue and stability robustness. The robustness measure is constructed to balance the tradeoff between an eigenvalue sensitivity measure and a stability robustness measure, both defined in terms of the non-differentiable spectral norm. It is established that the robustness measure can be minimized asymptotically via a sequence of smooth unconstrained minimizations involving some auxiliary objective functions. Moreover, the sequence of minimizers converges to the set of minimizers of the robustness measure. A numerical algorithm with analytical formulae of the gradient of the auxiliary objective functions is provided. Through a numerical example and comparing with other methods, the idea of using a combined robustness measure in the design is illustrated and the effectiveness of the computation is demonstrated.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.aspen_US
dc.relation.ispartofInternational Journal of Controlen_US
dc.titlePole assignment with eigenvalue and stability robustnessen_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-s2.0-0033344016en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033344016&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume72en_US
dc.identifier.issue13en_US
dc.identifier.spage1165en_US
dc.identifier.epage1174en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridYan, WY=7402221751en_US
dc.identifier.scopusauthoridHu, T=7202704587en_US

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