A convex optimization procedure to compute H-2 and H-infinity norms for uncertain linear systems in polytopic domains

dc.creatorOliveira, RCLF
dc.creatorPeres, PLD
dc.date2008
dc.dateJUL-AUG
dc.date2014-07-30T13:39:29Z
dc.date2015-11-26T16:24:07Z
dc.date2014-07-30T13:39:29Z
dc.date2015-11-26T16:24:07Z
dc.date.accessioned2018-03-28T23:05:08Z
dc.date.available2018-03-28T23:05:08Z
dc.identifierOptimal Control Applications & Methods. John Wiley & Sons Ltd, v. 29, n. 4, n. 295, n. 312, 2008.
dc.identifier0143-2087
dc.identifierWOS:000258715600003
dc.identifier10.1002/oca.825
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/53041
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/53041
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1268373
dc.descriptionIn this paper, a convergent numerical procedure to compute H-2 and H-infinity norms of uncertain time-invariant linear systems in polytopic domains is proposed. The norms are characterized by means of homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree g solving parameter-dependent linear matrix inequalities. Using an extension of Polya's Theorem to the case of matrix-valued polynomials, a sequence of linear matrix inequalities is constructed in terms of an integer d providing a Lyapunov solution for a given degree g and guaranteed H-2 and H-infinity costs whenever such a solution exists. As the degree of the homogeneous polynomial matrices increases, the guaranteed costs tend to the worst-case norm evaluations in the polytope. Both continuous- and discrete-time uncertain systems are investigated, as illustrated by numerical examples that include comparisons with other techniques from the literature. Copyright (C) 2007 John Wiley & Sons, Ltd.
dc.description29
dc.description4
dc.description295
dc.description312
dc.languageen
dc.publisherJohn Wiley & Sons Ltd
dc.publisherChichester
dc.publisherInglaterra
dc.relationOptimal Control Applications & Methods
dc.relationOptim. Control Appl. Methods
dc.rightsaberto
dc.rightshttp://olabout.wiley.com/WileyCDA/Section/id-406071.html
dc.sourceWeb of Science
dc.subjectuncertain linear systems
dc.subjectconvex optimization
dc.subjectlinear matrix inequalities
dc.subjectH-2 and H-infinity norms
dc.subjecthomogeneous polynomially parameter-dependent Lyapunov functions
dc.subjectPolya's Theorem
dc.subjectDependent Lyapunov Functions
dc.subjectGuaranteed Cost Computation
dc.subjectRobust Performance Analysis
dc.subjectQuadratic Stabilizability
dc.subjectSemidefinite Programs
dc.subjectSufficient Conditions
dc.subjectLmi Conditions
dc.subjectStability
dc.subjectRelaxations
dc.titleA convex optimization procedure to compute H-2 and H-infinity norms for uncertain linear systems in polytopic domains
dc.typeArtículos de revistas


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