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Article: Analysis and synthesis of nonlinear systems with uncertain initial conditions

TitleAnalysis and synthesis of nonlinear systems with uncertain initial conditions
Authors
KeywordsBilinear matrix inequality (BMI)
Nonlinear system
Square matricial representation (SMR)
Tightness
Uncertain initial condition
Issue Date2008
PublisherIEEE.
Citation
IEEE Transactions On Automatic Control, 2008, v. 53 n. 5, p. 1262-1267 How to Cite?
AbstractThis technical note considers the problem 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 for nonlinear systems. 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 bilinear matrix inequality (BMI) optimizations obtained through the square matricial representation (SMR) of polynomials. 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 nonconvexity of BMI optimizations and the chosen degree of the Lyapunov function and relaxing polynomials. © 2008 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/57490
ISSN
2015 Impact Factor: 2.777
2015 SCImago Journal Rankings: 4.238
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.contributor.authorHung, YSen_HK
dc.date.accessioned2010-04-12T01:37:54Z-
dc.date.available2010-04-12T01:37:54Z-
dc.date.issued2008en_HK
dc.identifier.citationIEEE Transactions On Automatic Control, 2008, v. 53 n. 5, p. 1262-1267en_HK
dc.identifier.issn0018-9286en_HK
dc.identifier.urihttp://hdl.handle.net/10722/57490-
dc.description.abstractThis technical note considers the problem 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 for nonlinear systems. 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 bilinear matrix inequality (BMI) optimizations obtained through the square matricial representation (SMR) of polynomials. 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 nonconvexity of BMI optimizations and the chosen degree of the Lyapunov function and relaxing polynomials. © 2008 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Automatic Controlen_HK
dc.rights©2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectBilinear matrix inequality (BMI)en_HK
dc.subjectNonlinear systemen_HK
dc.subjectSquare matricial representation (SMR)en_HK
dc.subjectTightnessen_HK
dc.subjectUncertain initial conditionen_HK
dc.titleAnalysis and synthesis of nonlinear systems with uncertain initial conditionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0018-9286&volume=53&issue=5&spage=1262&epage=1267&date=2008&atitle=Analysis+and+synthesis+of+nonlinear+systems+with+uncertain+initial+conditionsen_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.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TAC.2008.921045en_HK
dc.identifier.scopuseid_2-s2.0-51749091087en_HK
dc.identifier.hkuros151674-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-51749091087&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume53en_HK
dc.identifier.issue5en_HK
dc.identifier.spage1262en_HK
dc.identifier.epage1267en_HK
dc.identifier.isiWOS:000258868400014-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK

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