LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions

dc.creatorOliveira, RCLF
dc.creatorPeres, PLD
dc.date2006
dc.dateJAN
dc.date2014-11-14T15:11:38Z
dc.date2015-11-26T17:15:32Z
dc.date2014-11-14T15:11:38Z
dc.date2015-11-26T17:15:32Z
dc.date.accessioned2018-03-29T00:03:46Z
dc.date.available2018-03-29T00:03:46Z
dc.identifierSystems & Control Letters. Elsevier Science Bv, v. 55, n. 1, n. 52, n. 61, 2006.
dc.identifier0167-6911
dc.identifierWOS:000234148000008
dc.identifier10.1016/j.sysconle.2005.05.003
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/52487
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/52487
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/52487
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1282069
dc.descriptionThe robust stability of uncertain linear systems in polytopic domains is investigated in this paper. The main contribution is to provide a systematic procedure for generating sufficient robust stability linear matrix inequality conditions based on homogeneous polynomially parameter-dependent Lyapunov matrix functions of arbitrary degree on the uncertain parameters. The conditions exploit the positivity of the uncertain parameters, being constructed in such a way that: as the degree of the polynomial increases, the number of linear matrix inequalities and free variables increases and the test becomes less conservative; if a feasible solution exists for a certain degree, the conditions will also be verified for larger degrees. For any given degree, the feasibility of a set of linear matrix inequalities defined at the vertices of the polytope assures the robust stability. Both continuous and discrete-time uncertain systems are addressed, as illustrated by numerical examples. (c) 2005 Elsevier B.V. All rights reserved.
dc.description55
dc.description1
dc.description52
dc.description61
dc.languageen
dc.publisherElsevier Science Bv
dc.publisherAmsterdam
dc.publisherHolanda
dc.relationSystems & Control Letters
dc.relationSyst. Control Lett.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectrobust stability
dc.subjecthomogeneous polynomially parameter-dependent Lyapunov function
dc.subjectlinear matrix inequality
dc.subjectcontinuous and discrete-time uncertain systems
dc.subjecttime-invariant uncertainty
dc.subjectGlobal Optimization
dc.subjectLinear-systems
dc.subjectUncertainty
dc.subjectSedumi
dc.subjectMatlab
dc.titleLMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions
dc.typeArtículos de revistas


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