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Conference Paper: Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay

TitleDelay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay
Authors
Issue Date2004
PublisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA
Citation
Iee Proceedings: Control Theory And Applications, 2004, v. 151 n. 6, p. 691-698 How to Cite?
AbstractThe output-feedback stabilisation problem is solved for discrete-time systems with time-varying delay in the state. A stability condition is first proposed, which is dependent on the minimum and maximum delay bounds. Based on this easily verifiable stability condition, the problems of stabilisation by static and dynamic output-feedback controllers are solved within the linear matrix inequality (LMI) framework. Since the obtained conditions for the existence of admissible controllers are not expressed as strict LMI conditions, the cone complementary linearisation procedure is exploited to solve the nonconvex feasibility problem. In addition, the obtained results, including stability analysis, static output-feedback stabilisation and dynamic output-feedback stabilisation are further extended to discrete time-delay systems with norm-bounded uncertain parameters. Numerical examples are also presented to illustrate the applicability of the developed results.
Persistent Identifierhttp://hdl.handle.net/10722/158942
ISSN
2008 Impact Factor: 2.106
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorGao, Hen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorWang, Cen_US
dc.contributor.authorWang, Yen_US
dc.date.accessioned2012-08-08T09:04:42Z-
dc.date.available2012-08-08T09:04:42Z-
dc.date.issued2004en_US
dc.identifier.citationIee Proceedings: Control Theory And Applications, 2004, v. 151 n. 6, p. 691-698en_US
dc.identifier.issn1350-2379en_US
dc.identifier.urihttp://hdl.handle.net/10722/158942-
dc.description.abstractThe output-feedback stabilisation problem is solved for discrete-time systems with time-varying delay in the state. A stability condition is first proposed, which is dependent on the minimum and maximum delay bounds. Based on this easily verifiable stability condition, the problems of stabilisation by static and dynamic output-feedback controllers are solved within the linear matrix inequality (LMI) framework. Since the obtained conditions for the existence of admissible controllers are not expressed as strict LMI conditions, the cone complementary linearisation procedure is exploited to solve the nonconvex feasibility problem. In addition, the obtained results, including stability analysis, static output-feedback stabilisation and dynamic output-feedback stabilisation are further extended to discrete time-delay systems with norm-bounded uncertain parameters. Numerical examples are also presented to illustrate the applicability of the developed results.en_US
dc.languageengen_US
dc.publisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTAen_US
dc.relation.ispartofIEE Proceedings: Control Theory and Applicationsen_US
dc.titleDelay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delayen_US
dc.typeConference_Paperen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1049/ip-cta:20040822en_US
dc.identifier.scopuseid_2-s2.0-10944251338en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-10944251338&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume151en_US
dc.identifier.issue6en_US
dc.identifier.spage691en_US
dc.identifier.epage698en_US
dc.identifier.isiWOS:000225964500004-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridGao, H=7402971422en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridWang, C=8337851300en_US
dc.identifier.scopusauthoridWang, Y=8503402200en_US

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