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L2-gain filter design for continuous-time LPV systems in finite frequency domain

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dc.creatorLuciano Antonio Frezzatto Santos
dc.creatorRicardo C. L. F. Oliveira
dc.creatorPedro L. D. Peres
dc.date.accessioned2025-04-09T15:22:08Z
dc.date.accessioned2025-09-08T23:56:57Z
dc.date.available2025-04-09T15:22:08Z
dc.date.issued2018
dc.identifier.doihttps://doi.org/10.1016/j.ifacol.2018.11.145
dc.identifier.issn2405-8963
dc.identifier.urihttps://hdl.handle.net/1843/81414
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartof2nd IFAC Workshop on Linear Parameter Varying Systems (LPVS 2018)
dc.rightsAcesso Aberto
dc.subjectSistemas lineares
dc.subjectSistemas de tempo discreto
dc.subject.othermethodologies are designed to mitigate the inherent conservatism linked to the incorporation of weighting matrices. These approaches have been applied to various problem domains, notably in the context of H ∞ gain-scheduled control for continuous linear parameter-varying (LPV) systems
dc.subject.otherL2 gain of an input-output system quantifies the maximal gain in “energy transmission” from input to output
dc.titleL2-gain filter design for continuous-time LPV systems in finite frequency domain
dc.typeArtigo de evento
local.citation.epage166
local.citation.spage161
local.description.resumoThis paper provides an approach for synthesizing gain-scheduled and robust filters for linear parameter-varying continuous-time systems in finite frequency ranges with guaranteed L2-gain performance. The technique is based on the well-known generalized KYP lemma, which relates frequency-domain inequalities to semi-definite constraints. The time-varying parameters are assumed to be measurable online and, furthermore, to have known bounds of variation. Filtering design conditions with guaranteed L2-gain performance are proposed in the form of parameter-dependent linear matrix inequalities (LMIs), which can be solved in terms of LMI relaxations. Numerical examples borrowed from the literature illustrate the advantages (improved performance) of the proposed approach when compared to other available methods.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.sciencedirect.com/science/article/pii/S2405896318328076

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