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Conference Paper: On exact exponential stability assignment of retarded delay systems via static output-feedback controllers

TitleOn exact exponential stability assignment of retarded delay systems via static output-feedback controllers
Authors
KeywordsAugmentation
Exponential stability
Linear matrix inequality (LMI)
Lyapunov-Krasovskii functional
Retarded delay systems
Static output-feedback
Issue Date2009
PublisherWSEAS Press. The Proceedings' web site is located at http://www.worldses.org/online/2009.htm
Citation
The 10th WSEAS International Conference on Automation and Information (ICAI'09), Prague, Czech Republic, 23-25 March 2009. In Recent Advances in Automation & Information, 2009, p. 58-63 How to Cite?
AbstractThis paper addresses the static output-feedback (SOF) exponential stabilization problem of retarded delay systems with a specification on the decay rate and decay coefficient. A novel Lyapunov-Krasovskii functional equipped with appropriate exponential terms is provided to establish a new condition for exponential stability. Based on this and an augmentation technique, a necessary and sufficient condition for quadratic SOF exact exponential stabilizability is proposed. An efficient iteration algorithm is then given to solve the proposed condition. Using the proposed approach, no structural constraints are imposed on the slack matrices when the controller matrix is parameterized, and the obtained controller not only stabilizes the original system but also guarantees that the closed-loop system possess desirable transient properties. Numerical examples are used to show the effectiveness of the theoretical results.
Persistent Identifierhttp://hdl.handle.net/10722/62273
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorShu, Zen_HK
dc.contributor.authorLam, Jen_HK
dc.date.accessioned2010-07-13T03:57:39Z-
dc.date.available2010-07-13T03:57:39Z-
dc.date.issued2009en_HK
dc.identifier.citationThe 10th WSEAS International Conference on Automation and Information (ICAI'09), Prague, Czech Republic, 23-25 March 2009. In Recent Advances in Automation & Information, 2009, p. 58-63en_HK
dc.identifier.isbn978-960-474-064-2-
dc.identifier.issn1790-5117-
dc.identifier.urihttp://hdl.handle.net/10722/62273-
dc.description.abstractThis paper addresses the static output-feedback (SOF) exponential stabilization problem of retarded delay systems with a specification on the decay rate and decay coefficient. A novel Lyapunov-Krasovskii functional equipped with appropriate exponential terms is provided to establish a new condition for exponential stability. Based on this and an augmentation technique, a necessary and sufficient condition for quadratic SOF exact exponential stabilizability is proposed. An efficient iteration algorithm is then given to solve the proposed condition. Using the proposed approach, no structural constraints are imposed on the slack matrices when the controller matrix is parameterized, and the obtained controller not only stabilizes the original system but also guarantees that the closed-loop system possess desirable transient properties. Numerical examples are used to show the effectiveness of the theoretical results.-
dc.languageengen_HK
dc.publisherWSEAS Press. The Proceedings' web site is located at http://www.worldses.org/online/2009.htmen_HK
dc.relation.ispartofRecent Advances in Automation & Information: proceedings of the 10th WSEAS International Conference on Automation and Information (ICAI'09)-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAugmentation-
dc.subjectExponential stability-
dc.subjectLinear matrix inequality (LMI)-
dc.subjectLyapunov-Krasovskii functional-
dc.subjectRetarded delay systems-
dc.subjectStatic output-feedback-
dc.titleOn exact exponential stability assignment of retarded delay systems via static output-feedback controllersen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailLam, J: james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.hkuros164340en_HK
dc.identifier.spage58-
dc.identifier.epage63-
dc.publisher.placePrague, Czech Republic-

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