Article: Full delayed state feedback pole assignment of discrete-time time-delay systems
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| Title | Full delayed state feedback pole assignment of discrete-time time-delay systems |
|---|---|
| Authors | Zhou, B2 Lam, J1 Duan, GR2 |
| Keywords | Discrete-time-delay systems Linear matrix equations Pole assignment Polynomial matrices Robust pole assignment Singular value decomposition |
| Issue Date | 2010 |
| Publisher | John 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?] DOI: http://dx.doi.org/10.1002/oca.899 |
| 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. |
| ISSN | 0143-2087 2011 Impact Factor: 0.648 2011 SCImago Journal Rankings: 0.039 |
| DOI | http://dx.doi.org/10.1002/oca.899 |
| References | References in Scopus |
| dc.contributor.author | Zhou, B | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| dc.contributor.author | Lam, J | ||||||||
| dc.contributor.author | Duan, GR | ||||||||
| dc.date.accessioned | 2010-10-31T10:59:09Z | ||||||||
| dc.date.available | 2010-10-31T10:59:09Z | ||||||||
| dc.date.issued | 2010 | ||||||||
| dc.description.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. | ||||||||
| dc.description.nature | Link_to_subscribed_fulltext | ||||||||
| dc.identifier.citation | Optimal 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.doi | http://dx.doi.org/10.1002/oca.899 | ||||||||
| dc.identifier.epage | 169 | ||||||||
| dc.identifier.hkuros | 179615 | ||||||||
| dc.identifier.isi | WOS:000276934700006
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.issn | 0143-2087 2011 Impact Factor: 0.648 2011 SCImago Journal Rankings: 0.039 | ||||||||
| dc.identifier.issue | 2 | ||||||||
| dc.identifier.openurl | | ||||||||
| dc.identifier.scopus | eid_2-s2.0-77950790336 | ||||||||
| dc.identifier.spage | 155 | ||||||||
| dc.identifier.uri | http://hdl.handle.net/10722/124878 | ||||||||
| dc.identifier.volume | 31 | ||||||||
| dc.language | eng | ||||||||
| dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/2133 | ||||||||
| dc.publisher.place | United Kingdom | ||||||||
| dc.relation.ispartof | Optimal Control Applications and Methods | ||||||||
| dc.relation.references | References in Scopus | ||||||||
| dc.subject | Discrete-time-delay systems | ||||||||
| dc.subject | Linear matrix equations | ||||||||
| dc.subject | Pole assignment | ||||||||
| dc.subject | Polynomial matrices | ||||||||
| dc.subject | Robust pole assignment | ||||||||
| dc.subject | Singular value decomposition | ||||||||
| dc.title | Full delayed state feedback pole assignment of discrete-time time-delay systems | ||||||||
| dc.type | Article |
Author Affiliations
- The University of Hong Kong
- Harbin Institute of Technology