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Conference Paper: On the estimation of the domain of attraction for uncertain polynomial systems via LMIs

TitleOn the estimation of the domain of attraction for uncertain polynomial systems via LMIs
Authors
Issue Date2004
Citation
Proceedings Of The Ieee Conference On Decision And Control, 2004, v. 1, p. 881-886 How to Cite?
AbstractEstimating the Domain of Attraction (DA) of equilibrium points is a problem of fundamental importance in systems engineering. Several approaches have been proposed for the case of known polynomial systems allowing one to find the Largest Estimate of the DA (LEDA) for a given Lyapunov Function (LF). However, the problem of estimating the Robust DA (RDA), that is the DA guaranteed for all possible uncertainties in an uncertain system, it is still an unsolved problem. In this paper, some methods are proposed for dealing with such a problem in the case of systems depending polynomially in the state and in the uncertainty which is supposed to belong to a polytope. Specifically, the issue of estimating the Robust LEDA (RLEDA), that is the intersection of all LEDAs in the uncertain system, is considered for common and parameter-dependent LFs, providing constant and parameter-dependent lower bounds through LMI optimizations. In order to obtain easy descriptions of the RLEDA in the case of parameter-dependent LFs, an LMI method for computing approximations with simple shape is presented.
Persistent Identifierhttp://hdl.handle.net/10722/158385
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-08-08T08:59:22Z-
dc.date.available2012-08-08T08:59:22Z-
dc.date.issued2004en_US
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 2004, v. 1, p. 881-886en_US
dc.identifier.issn0191-2216en_US
dc.identifier.urihttp://hdl.handle.net/10722/158385-
dc.description.abstractEstimating the Domain of Attraction (DA) of equilibrium points is a problem of fundamental importance in systems engineering. Several approaches have been proposed for the case of known polynomial systems allowing one to find the Largest Estimate of the DA (LEDA) for a given Lyapunov Function (LF). However, the problem of estimating the Robust DA (RDA), that is the DA guaranteed for all possible uncertainties in an uncertain system, it is still an unsolved problem. In this paper, some methods are proposed for dealing with such a problem in the case of systems depending polynomially in the state and in the uncertainty which is supposed to belong to a polytope. Specifically, the issue of estimating the Robust LEDA (RLEDA), that is the intersection of all LEDAs in the uncertain system, is considered for common and parameter-dependent LFs, providing constant and parameter-dependent lower bounds through LMI optimizations. In order to obtain easy descriptions of the RLEDA in the case of parameter-dependent LFs, an LMI method for computing approximations with simple shape is presented.en_US
dc.languageengen_US
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_US
dc.titleOn the estimation of the domain of attraction for uncertain polynomial systems via LMIsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G:chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-14344253993en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-14344253993&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume1en_US
dc.identifier.spage881en_US
dc.identifier.epage886en_US
dc.identifier.scopusauthoridChesi, G=7006328614en_US

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