Stability analysis and gain-scheduled state feedback control for continuous-time systems with bounded parameter variations

dc.creatorMontagner, VF
dc.creatorOliveira, RCLF
dc.creatorPeres, PLD
dc.creatorBliman, PA
dc.date2009
dc.date2014-11-17T23:59:35Z
dc.date2015-11-26T16:48:01Z
dc.date2014-11-17T23:59:35Z
dc.date2015-11-26T16:48:01Z
dc.date.accessioned2018-03-28T23:34:21Z
dc.date.available2018-03-28T23:34:21Z
dc.identifierInternational Journal Of Control. Taylor & Francis Ltd, v. 82, n. 6, n. 1045, n. 1059, 2009.
dc.identifier0020-7179
dc.identifierWOS:000265979200006
dc.identifier10.1080/00207170802403750
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/74450
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/74450
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/74450
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1275004
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionThe problems of robust stability analysis and state feedback control based on gain-scheduling for continuous-time systems with time-varying parameters that have bounded rates of variation and lie inside a polytope are addressed in this article. With respect to previous results in the literature, two main contributions of the article are: (i) the robust stability analysis conditions are less conservative and demand less computational effort than the existing ones; (ii) the conditions can be extended to cope with the problem of control design for this class of system. Parameter-dependent linear matrix inequality (LMI) conditions are given for the existence of a parameter-dependent Lyapunov function quadratic in the state and homogeneous polynomially of arbitrary degree in the parameter assuring robust stability. Two convex procedures based on LMIs exhibiting distinct complexities are proposed to solve the problem of robust stability. An extension to deal with the computation of a stabilising parameter-dependent state feedback gain for this class of time-varying systems is also provided, as a sequence of LMIs of increasing precision. Examples illustrate the results, including comparisons with other techniques from the literature.
dc.description82
dc.description6
dc.description1045
dc.description1059
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionParaSDP
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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.subjectLPV systems
dc.subjectrobust stability
dc.subjectgain-scheduling
dc.subjectLMIs
dc.subjectcontinuous-time systems
dc.subjectDependent Lyapunov Functions
dc.subjectRobust Performance Analysis
dc.subjectVarying Polytopic Systems
dc.subjectLinear-systems
dc.subjectUncertain Systems
dc.subjectLmi Conditions
dc.subjectRelaxations
dc.subjectStabilization
dc.subjectDesign
dc.titleStability analysis and gain-scheduled state feedback control for continuous-time systems with bounded parameter variations
dc.typeArtículos de revistas


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