Linear matrix inequality characterisation for H(infinity) and H(2) guaranteed cost gain-scheduling quadratic stabilisation of linear time-varying polytopic systems

dc.creatorMontagner, VF
dc.creatorOliveira, RCLF
dc.creatorPeres, PLD
dc.creatorBliman, PA
dc.date2007
dc.dateNOV
dc.date2014-11-14T17:58:26Z
dc.date2015-11-26T17:16:09Z
dc.date2014-11-14T17:58:26Z
dc.date2015-11-26T17:16:09Z
dc.date.accessioned2018-03-29T00:04:21Z
dc.date.available2018-03-29T00:04:21Z
dc.identifierIet Control Theory And Applications. Inst Engineering Technology-iet, v. 1, n. 6, n. 1726, n. 1735, 2007.
dc.identifier1751-8644
dc.identifierWOS:000251512900018
dc.identifier10.1049/iet-cta:20070037
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/81081
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/81081
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/81081
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1282218
dc.descriptionNecessary and sufficient linear matrix inequality (LMI) conditions are provided to compute parameter-dependent state feedback control gains that ensure closed-loop quadratic stability for linear systems affected by arbitrarily fast time-varying parameters inside a polytope. The proposed conditions, based on an extension of Polya's theorem and on the systematic construction of homogeneous polynomial solutions for parameter-dependent LMIs, are written as a sequence of progressively less and less conservative LMI conditions. Necessity is attained as the level of relaxation increases, providing a parameter-dependent state feedback gain that quadratically stabilises the system whenever such a gain exists. Moreover, parameter-dependent gains of arbitrary degree assuring quadratic stability with H(infinity) and H(2) guaranteed costs are also provided. The convergence to the minimum values of the attainable H(infinity) and H(2) guaranteed costs under closed-loop quadratic stability occurs as the degree of the polynomially parameter-dependent gain increases. Numerical results illustrate the efficiency of the proposed conditions.
dc.description1
dc.description6
dc.description1726
dc.description1735
dc.languageen
dc.publisherInst Engineering Technology-iet
dc.publisherHertford
dc.publisherInglaterra
dc.relationIet Control Theory And Applications
dc.relationIET Contr. Theory Appl.
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectDependent Lyapunov Functions
dc.subjectRobust D-stability
dc.subjectState-feedback
dc.subjectUncertain Systems
dc.subjectLmi Conditions
dc.subjectOptimization
dc.subjectRelaxations
dc.subjectComputation
dc.titleLinear matrix inequality characterisation for H(infinity) and H(2) guaranteed cost gain-scheduling quadratic stabilisation of linear time-varying polytopic systems
dc.typeArtículos de revistas


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