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

TitleFull delayed state feedback pole assignment of discrete-time time-delay systems
Authors
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
Citation
Optimal Control Applications And Methods, 2010, v. 31 n. 2, p. 155-169 How to Cite?
Abstract
This 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.
Persistent Identifierhttp://hdl.handle.net/10722/124878
ISSN
2013 Impact Factor: 1.535
ISI Accession Number ID
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).

References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Ben_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorDuan, GRen_HK
dc.date.accessioned2010-10-31T10:59:09Z-
dc.date.available2010-10-31T10:59:09Z-
dc.date.issued2010en_HK
dc.identifier.citationOptimal Control Applications And Methods, 2010, v. 31 n. 2, p. 155-169en_HK
dc.identifier.issn0143-2087en_HK
dc.identifier.urihttp://hdl.handle.net/10722/124878-
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.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/2133en_HK
dc.relation.ispartofOptimal Control Applications and Methodsen_HK
dc.subjectDiscrete-time-delay systemsen_HK
dc.subjectLinear matrix equationsen_HK
dc.subjectPole assignmenten_HK
dc.subjectPolynomial matricesen_HK
dc.subjectRobust pole assignmenten_HK
dc.subjectSingular value decompositionen_HK
dc.titleFull delayed state feedback pole assignment of discrete-time time-delay systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0143-2087&volume=31&issue=2&spage=155&epage=169&date=2010&atitle=Full+delayed+state+feedback+pole+assignment+of+discrete-time+time-delay+systemsen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/oca.899en_HK
dc.identifier.scopuseid_2-s2.0-77950790336en_HK
dc.identifier.hkuros179615en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77950790336&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume31en_HK
dc.identifier.issue2en_HK
dc.identifier.spage155en_HK
dc.identifier.epage169en_HK
dc.identifier.isiWOS:000276934700006-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, B=7401906664en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridDuan, GR=35229183800en_HK

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