Robust H(infinity) performance using lifted polynomial parameter-dependent Lyapunov functions

dc.creatorDe Oliveira, MC
dc.creatorOliveira, RCLF
dc.creatorPeres, PLD
dc.date2008
dc.date2014-11-17T20:43:45Z
dc.date2015-11-26T17:42:13Z
dc.date2014-11-17T20:43:45Z
dc.date2015-11-26T17:42:13Z
dc.date.accessioned2018-03-29T00:24:03Z
dc.date.available2018-03-29T00:24:03Z
dc.identifierInternational Journal Of Control. Taylor & Francis Ltd, v. 81, n. 7, n. 1089, n. 1101, 2008.
dc.identifier0020-7179
dc.identifierWOS:000256996600006
dc.identifier10.1080/00207170701639454
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/71171
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/71171
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/71171
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1287225
dc.descriptionThis paper investigates the robust H(infinity) performance of time-invariant linear uncertain systems where the uncertainty is in polytopic domains. Robust H(infinity) is checked by constructing a quadratic parameter-dependent Lyapunov function. The matrix associated with this quadratic Lyapunov function is a polynomial function of the uncertain parameters, expressed as a particular polynomial matrix involving kappa powers of the dynamic matrix of the system and one symmetric matrix to be determined. The degree of this polynomial matrix function is arbitrary. Finsler's Lemma is used to lift the obtained stability conditions into a larger space in which sufficient stability tests can be developed in the form of linear matrix inequalities. As kappa increases, less conservative H(infinity) evaluations are obtained. Both continuous and discrete-time systems are investigated. Numerical examples illustrate the method and compare the present results with similar works in the literature.
dc.description81
dc.description7
dc.description1089
dc.description1101
dc.languageen
dc.publisherTaylor & Francis Ltd
dc.publisherAbingdon
dc.publisherInglaterra
dc.relationInternational Journal Of Control
dc.relationInt. J. Control
dc.rightsfechado
dc.rightshttp://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp
dc.sourceWeb of Science
dc.subjectUncertain Linear-systems
dc.subjectGuaranteed Cost Computation
dc.subjectLmi Condition
dc.subjectD-stability
dc.subjectPolytopic Systems
dc.subjectOptimization
dc.subjectRelaxations
dc.subjectH-2
dc.titleRobust H(infinity) performance using lifted polynomial parameter-dependent Lyapunov functions
dc.typeArtículos de revistas


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