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Conference Paper: Trajectories bounds for nonlinear systems: A BMI approach

TitleTrajectories bounds for nonlinear systems: A BMI approach
Authors
KeywordsBMI
Lyapunov function
Nonlinear system
Tightness
Time-domain constraint
Issue Date2007
Citation
Proceedings Of The Ieee Conference On Decision And Control, 2007, p. 4001-4006 How to Cite?
AbstractThis paper deals with the analysis and synthesis of nonlinear systems, and considers the problems of computing extremal values of the trajectories over a given set of initial conditions as well as finding output controllers minimizing these extremal values under time-domain constraints. It is shown that upper bounds of the sought extremal values as well as candidates of the sought controllers can be computed by solving a one-parameter sequence of BMI optimizations. Moreover, a necessary and sufficient condition is proposed to establish the tightness of the found upper bound in spite of the conservatism introduced by the non-convexity of BMI optimizations and the chosen degree of the Lyapunov function and relaxing polynomials. © 2007 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/98944
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.contributor.authorHung, YSen_HK
dc.date.accessioned2010-09-25T18:09:05Z-
dc.date.available2010-09-25T18:09:05Z-
dc.date.issued2007en_HK
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 2007, p. 4001-4006en_HK
dc.identifier.issn0191-2216en_HK
dc.identifier.urihttp://hdl.handle.net/10722/98944-
dc.description.abstractThis paper deals with the analysis and synthesis of nonlinear systems, and considers the problems of computing extremal values of the trajectories over a given set of initial conditions as well as finding output controllers minimizing these extremal values under time-domain constraints. It is shown that upper bounds of the sought extremal values as well as candidates of the sought controllers can be computed by solving a one-parameter sequence of BMI optimizations. Moreover, a necessary and sufficient condition is proposed to establish the tightness of the found upper bound in spite of the conservatism introduced by the non-convexity of BMI optimizations and the chosen degree of the Lyapunov function and relaxing polynomials. © 2007 IEEE.en_HK
dc.languageengen_HK
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_HK
dc.subjectBMIen_HK
dc.subjectLyapunov functionen_HK
dc.subjectNonlinear systemen_HK
dc.subjectTightnessen_HK
dc.subjectTime-domain constrainten_HK
dc.titleTrajectories bounds for nonlinear systems: A BMI approachen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.emailHung, YS:yshung@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.identifier.authorityHung, YS=rp00220en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/CDC.2007.4434127en_HK
dc.identifier.scopuseid_2-s2.0-62749204364en_HK
dc.identifier.hkuros139752en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-62749204364&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage4001en_HK
dc.identifier.epage4006en_HK
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK

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