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Article: H ∞ and positive-real control for linear neutral delay systems
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TitleH ∞ and positive-real control for linear neutral delay systems
 
AuthorsXu, S2
Lam, J1
Yang, C2
 
KeywordsH ∞control
Linear matrix inequality
Memoryless state feedback
Neutral delay systems
Positive-real control
 
Issue Date2001
 
PublisherIEEE.
 
CitationIeee Transactions On Automatic Control, 2001, v. 46 n. 8, p. 1321-1326 [How to Cite?]
DOI: http://dx.doi.org/10.1109/9.940943
 
AbstractThis note is concerned with the H ∞and positive-real control problems for linear neutral delay systems. The purpose of H ∞control is the design of a memoryless state feedback controller which stabilizes the neutral delay system and reduces the H ∞norm of the closed-loop transfer function from the disturbance to the controlled output to a prescribed level, while the purpose of positive-real control is to design a memoryless state feedback controller such that the resulting closed-loop system is stable and the closed-loop transfer function is extended strictly positive real. Sufficient conditions for the existence of the desired controllers are given in terms of a linear matrix inequality (LMI). When this LMI is feasible, the expected memoryless state feedback controllers can be easily constructed via convex optimization.
 
ISSN0018-9286
2012 Impact Factor: 2.718
2012 SCImago Journal Rankings: 5.459
 
DOIhttp://dx.doi.org/10.1109/9.940943
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorXu, S
 
dc.contributor.authorLam, J
 
dc.contributor.authorYang, C
 
dc.date.accessioned2007-03-23T04:37:26Z
 
dc.date.available2007-03-23T04:37:26Z
 
dc.date.issued2001
 
dc.description.abstractThis note is concerned with the H ∞and positive-real control problems for linear neutral delay systems. The purpose of H ∞control is the design of a memoryless state feedback controller which stabilizes the neutral delay system and reduces the H ∞norm of the closed-loop transfer function from the disturbance to the controlled output to a prescribed level, while the purpose of positive-real control is to design a memoryless state feedback controller such that the resulting closed-loop system is stable and the closed-loop transfer function is extended strictly positive real. Sufficient conditions for the existence of the desired controllers are given in terms of a linear matrix inequality (LMI). When this LMI is feasible, the expected memoryless state feedback controllers can be easily constructed via convex optimization.
 
dc.description.naturepublished_or_final_version
 
dc.format.extent208244 bytes
 
dc.format.extent35328 bytes
 
dc.format.mimetypeapplication/pdf
 
dc.format.mimetypeapplication/msword
 
dc.identifier.citationIeee Transactions On Automatic Control, 2001, v. 46 n. 8, p. 1321-1326 [How to Cite?]
DOI: http://dx.doi.org/10.1109/9.940943
 
dc.identifier.doihttp://dx.doi.org/10.1109/9.940943
 
dc.identifier.epage1326
 
dc.identifier.issn0018-9286
2012 Impact Factor: 2.718
2012 SCImago Journal Rankings: 5.459
 
dc.identifier.issue8
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-0035417623
 
dc.identifier.spage1321
 
dc.identifier.urihttp://hdl.handle.net/10722/43040
 
dc.identifier.volume46
 
dc.languageeng
 
dc.publisherIEEE.
 
dc.publisher.placeUnited States
 
dc.relation.ispartofIEEE Transactions on Automatic Control
 
dc.relation.referencesReferences in Scopus
 
dc.rights©2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
 
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License
 
dc.subjectH ∞control
 
dc.subjectLinear matrix inequality
 
dc.subjectMemoryless state feedback
 
dc.subjectNeutral delay systems
 
dc.subjectPositive-real control
 
dc.titleH ∞ and positive-real control for linear neutral delay systems
 
dc.typeArticle
 
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<subject>H &#8734;control</subject>
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Author Affiliations
  1. The University of Hong Kong
  2. Nanjing University of Science and Technology