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Article: Unified gradient approach to performance optimization under a pole assignment constraint
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TitleUnified gradient approach to performance optimization under a pole assignment constraint
 
AuthorsHu, TS1
Lin, ZL1
Lam, J2
 
KeywordsDisturbance Rejection
Gradient Method
Performance Optimization
Pole Assignment
 
Issue Date2004
 
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-3239
 
CitationJournal Of Optimization Theory And Applications, 2004, v. 121 n. 2, p. 361-383 [How to Cite?]
DOI: http://dx.doi.org/10.1023/B:JOTA.0000037409.86566.f9
 
AbstractGeneral closed-loop performance optimization problems with pole assignment constraint are considered in this paper under a unified framework. By introducing a free-parameter matrix and a matrix function based on the solution of a Sylvester equation, the constrained optimization problem is transformed into an unconstrained one, thus reducing the problem of closed-loop performance optimization with pole placement constraint to the computation of the gradient of the performance index with respect to the free-parameter matrix. Several classical performance indices are then optimized under the pole placement constraint. The effectiveness of the proposed gradient method is illustrated with an example.
 
ISSN0022-3239
2013 Impact Factor: 1.406
 
DOIhttp://dx.doi.org/10.1023/B:JOTA.0000037409.86566.f9
 
ISI Accession Number IDWOS:000223205700006
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorHu, TS
 
dc.contributor.authorLin, ZL
 
dc.contributor.authorLam, J
 
dc.date.accessioned2012-08-08T08:44:43Z
 
dc.date.available2012-08-08T08:44:43Z
 
dc.date.issued2004
 
dc.description.abstractGeneral closed-loop performance optimization problems with pole assignment constraint are considered in this paper under a unified framework. By introducing a free-parameter matrix and a matrix function based on the solution of a Sylvester equation, the constrained optimization problem is transformed into an unconstrained one, thus reducing the problem of closed-loop performance optimization with pole placement constraint to the computation of the gradient of the performance index with respect to the free-parameter matrix. Several classical performance indices are then optimized under the pole placement constraint. The effectiveness of the proposed gradient method is illustrated with an example.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationJournal Of Optimization Theory And Applications, 2004, v. 121 n. 2, p. 361-383 [How to Cite?]
DOI: http://dx.doi.org/10.1023/B:JOTA.0000037409.86566.f9
 
dc.identifier.doihttp://dx.doi.org/10.1023/B:JOTA.0000037409.86566.f9
 
dc.identifier.epage383
 
dc.identifier.isiWOS:000223205700006
 
dc.identifier.issn0022-3239
2013 Impact Factor: 1.406
 
dc.identifier.issue2
 
dc.identifier.scopuseid_2-s2.0-4344612745
 
dc.identifier.spage361
 
dc.identifier.urihttp://hdl.handle.net/10722/156958
 
dc.identifier.volume121
 
dc.languageeng
 
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-3239
 
dc.publisher.placeUnited States
 
dc.relation.ispartofJournal of Optimization Theory and Applications
 
dc.relation.referencesReferences in Scopus
 
dc.subjectDisturbance Rejection
 
dc.subjectGradient Method
 
dc.subjectPerformance Optimization
 
dc.subjectPole Assignment
 
dc.titleUnified gradient approach to performance optimization under a pole assignment constraint
 
dc.typeArticle
 
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Author Affiliations
  1. University of Virginia
  2. The University of Hong Kong