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Article: Full delayed state feedback pole assignment of discrete-time time-delay systems
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TitleFull delayed state feedback pole assignment of discrete-time time-delay systems

Authors2
1
2

KeywordsDiscrete-time-delay systems
Linear matrix equations
Pole assignment
Polynomial matrices
Robust pole assignment
Singular value decomposition

Issue Date2010

PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/2133

CitationOptimal Control Applications And Methods, 2010, v. 31 n. 2, p. 155-169 [How to Cite?]
DOI: http://dx.doi.org/10.1002/oca.899

AbstractThis paper studies the problem of pole assignment of discrete-time time delay system with delayed state feedback. The problem is solved in this paper by requiring that the maximal delay in the feedback equals the maximal delay of the open-loop system. A necessary and sufficient condition guaranteeing the existence of a solution is presented. By using the augmentation technique, the pole assignment problem is then transformed to the problem of solving a linear matrix equation such that certain conditions are satisfied. To solve the linear equation problem, when the desired closed-loop eigenvalues are not prescribed, a parametric approach using real arithmetic is presented by using polynomial matrices associated with the system matrices. When the desired closed-loop eigenvalues are prescribed, singular value decomposition can be adopted to solve the linear matrix equation. Both approaches can provide full degree of freedom, which can be further utilized to accomplish some other design objects. The robust pole assignment problem is considered to demonstrate the advantages of the method. Numerical examples are employed to illustrate the effectiveness of the proposed approaches. Copyright © 2009 John Wiley & Sons, Ltd.

ISSN0143-2087
2012 Impact Factor: 1.062
2012 SCImago Journal Rankings: 0.870

DOIhttp://dx.doi.org/10.1002/oca.899

ISI Accession Number IDWOS:000276934700006
Funding AgencyGrant Number
National Natural Science Foundation of China60710002
Program for Changjiang Scholars and Innovative Research Team in University
Research Grants CouncilHKU 7031/07P
Funding Information:

The work of Bin Zhou and Guang-Ren Duan was partially supported by the Major Program of National Natural Science Foundation of China under Grant No. 60710002 and Program for Changjiang Scholars and Innovative Research Team in University. The work of James Lam was partially supported by Research Grants Council (HKU 7031/07P).

ReferencesReferences in Scopus

DC FieldValue
dc.contributor.authorZhou, B

dc.contributor.authorLam, J

dc.contributor.authorDuan, GR

dc.date.accessioned2010-10-31T10:59:09Z

dc.date.available2010-10-31T10:59:09Z

dc.date.issued2010

dc.description.abstractThis paper studies the problem of pole assignment of discrete-time time delay system with delayed state feedback. The problem is solved in this paper by requiring that the maximal delay in the feedback equals the maximal delay of the open-loop system. A necessary and sufficient condition guaranteeing the existence of a solution is presented. By using the augmentation technique, the pole assignment problem is then transformed to the problem of solving a linear matrix equation such that certain conditions are satisfied. To solve the linear equation problem, when the desired closed-loop eigenvalues are not prescribed, a parametric approach using real arithmetic is presented by using polynomial matrices associated with the system matrices. When the desired closed-loop eigenvalues are prescribed, singular value decomposition can be adopted to solve the linear matrix equation. Both approaches can provide full degree of freedom, which can be further utilized to accomplish some other design objects. The robust pole assignment problem is considered to demonstrate the advantages of the method. Numerical examples are employed to illustrate the effectiveness of the proposed approaches. Copyright © 2009 John Wiley & Sons, Ltd.

dc.identifier.citationOptimal Control Applications And Methods, 2010, v. 31 n. 2, p. 155-169 [How to Cite?]
DOI: http://dx.doi.org/10.1002/oca.899

dc.identifier.doihttp://dx.doi.org/10.1002/oca.899

dc.identifier.epage169

dc.identifier.hkuros179615

dc.identifier.isiWOS:000276934700006
Funding AgencyGrant Number
National Natural Science Foundation of China60710002
Program for Changjiang Scholars and Innovative Research Team in University
Research Grants CouncilHKU 7031/07P
Funding Information:

The work of Bin Zhou and Guang-Ren Duan was partially supported by the Major Program of National Natural Science Foundation of China under Grant No. 60710002 and Program for Changjiang Scholars and Innovative Research Team in University. The work of James Lam was partially supported by Research Grants Council (HKU 7031/07P).

dc.identifier.issn0143-2087
2012 Impact Factor: 1.062
2012 SCImago Journal Rankings: 0.870

dc.identifier.issue2

dc.identifier.openurl

dc.identifier.scopuseid_2-s2.0-77950790336

dc.identifier.spage155

dc.identifier.urihttp://hdl.handle.net/10722/124878

dc.identifier.volume31

dc.languageeng

dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/2133

dc.publisher.placeUnited Kingdom

dc.relation.ispartofOptimal Control Applications and Methods

dc.relation.referencesReferences in Scopus

dc.subjectDiscrete-time-delay systems

dc.subjectLinear matrix equations

dc.subjectPole assignment

dc.subjectPolynomial matrices

dc.subjectRobust pole assignment

dc.subjectSingular value decomposition

dc.titleFull delayed state feedback pole assignment of discrete-time time-delay systems

dc.typeArticle

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Author Affiliations
1. The University of Hong Kong
2. Harbin Institute of Technology