Parameter-dependent H-2 and H-infinity filter design for linear systems with arbitrarily time-varying parameters in polytopic domains

dc.creatorBorges, RA
dc.creatorMontagner, VF
dc.creatorOliveira, RCLF
dc.creatorPeres, PLD
dc.creatorBliman, PA
dc.date2008
dc.dateJUL
dc.date2014-07-30T14:30:40Z
dc.date2015-11-26T17:59:54Z
dc.date2014-07-30T14:30:40Z
dc.date2015-11-26T17:59:54Z
dc.date.accessioned2018-03-29T00:42:27Z
dc.date.available2018-03-29T00:42:27Z
dc.identifierSignal Processing. Elsevier Science Bv, v. 88, n. 7, n. 1801, n. 1816, 2008.
dc.identifier0165-1684
dc.identifierWOS:000255468000013
dc.identifier10.1016/j.sigpro.2008.01.021
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/59037
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/59037
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1291847
dc.descriptionIn this paper, the problem of filter design for linear continuous-time systems with arbitrarily fast time-varying parameters is investigated. The time-varying parameters belong to a polytope with known vertices, affect all the system matrices and are assumed to be available online for implementation of the filters. Necessary and sufficient parameter-dependent linear matrix inequality (LMI) conditions for the existence of a parameter-dependent filter assuring that the estimation error dynamics is quadratically stable and satisfies bounds to the H-2 or to the H-infinity norms are given. A sequence of standard LMI conditions assuring the existence of homogeneous polynomially parameter-dependent (HPPD) solutions to the parameter-dependent LMIs for filter design is provided in terms of the vertices of the polytope (no gridding is required), yielding parameter-dependent filters of arbitrary degree assuring quadratic stability of the error dynamics for the H-2 or the H-infinity cases. As the degree of the HPPD solutions increases, less and less conservative LMI conditions are obtained, tending to the necessary conditions that assure optimal values for the H-2 or the H-infinity performance of the estimation error dynamics under quadratic stability. Numerical examples illustrate the results, showing that parameter-dependent filters can provide better attenuation levels than the ones obtained with robust filters, at the price of a more complex filtering strategy. (c) 2008 Elsevier B.V. All rights reserved.
dc.description88
dc.description7
dc.description1801
dc.description1816
dc.languageen
dc.publisherElsevier Science Bv
dc.publisherAmsterdam
dc.publisherHolanda
dc.relationSignal Processing
dc.relationSignal Process.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectfiltering problem
dc.subjectlinear parameter-varying systems
dc.subjectH-2 and H-infinity performance
dc.subjectquadratic Lyapunov functions
dc.subjectlinear matrix inequalities
dc.subjectcontinuous-time systems
dc.subjectLyapunov Functions
dc.subjectRobust Stability
dc.subjectUncertain Systems
dc.subjectLmi Approach
dc.subjectLpv Systems
dc.subjectOptimization
dc.subjectRelaxations
dc.subjectPerformance
dc.titleParameter-dependent H-2 and H-infinity filter design for linear systems with arbitrarily time-varying parameters in polytopic domains
dc.typeArtículos de revistas


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