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
2011 SCImago Journal Rankings: 0.097
DOIhttp://dx.doi.org/10.1109/9.940943
ReferencesReferences in Scopus
DC Field
Value
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
2011 SCImago Journal Rankings: 0.097
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
Author Affiliations
  1. The University of Hong Kong
  2. Nanjing University of Science and Technology