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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
 
AuthorsZhou, B2
Lam, J1
Duan, GR2
 
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
2013 Impact Factor: 1.535
 
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.description.natureLink_to_subscribed_fulltext
 
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
2013 Impact Factor: 1.535
 
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