Robust Eigenvalue Assignment via Sampled State-Feedback for Linear Polytopic Discrete-Time Periodic Systems

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dc.creatorPedro Henrique Silva Coutinho
dc.creatorThiago Pereira Das Chagas
dc.creatorLeonardo Antonio Borges Torres
dc.creatorReinaldo Martinez Palhares
dc.date.accessioned2025-05-06T14:50:00Z
dc.date.accessioned2025-09-08T22:49:40Z
dc.date.available2025-05-06T14:50:00Z
dc.date.issued2019
dc.identifier.urihttps://hdl.handle.net/1843/82056
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartof14º Simpósio Brasileiro de Automação Inteligente
dc.rightsAcesso Aberto
dc.subjectTeoria do controle
dc.subjectMatemática
dc.subject.otherControle
dc.subject.otherControle de Processos
dc.subject.otherControle Robusto
dc.subject.otherSistemas Periódicos
dc.subject.otherOtimização
dc.subject.otherSampled state-feedback control, Polytopic uncertainty, Linear matrix inequality
dc.titleRobust Eigenvalue Assignment via Sampled State-Feedback for Linear Polytopic Discrete-Time Periodic Systems
dc.typeArtigo de evento
local.citation.epage6
local.citation.spage1
local.description.resumoThis work deals with the robust eigenvalue assignment problem for periodic discrete-time systems with polytopic uncertainties. By employing a sampled state-feedback control law, a suitable time-invariant reformulation describing a period ahead dynamics associated with the uncertain periodic system is obtained. The obtained results are based on a special class of parameter-dependent Lyapunov functions that adequately cope with the one period ahead dynamics. The robust eigenvalue assignment problem is solved via a convex problem. The proposed conditions ensure that all eigenvalues of the proposed time-invariant reformulation subject to uncertainties are within a specified circular region in the complex plane. Numerical simulations are presented to illustrate the effectiveness of the proposed conditions.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://proceedings.science/sbai-2019/trabalhos/robust-eigenvalue-assignment-via-sampled-state-feedback-for-linear-polytopic-dis?lang=pt-br

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