A tensor product model transformation approach to the discretization of uncertain linear systems

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dc.creatorVíctor Costa da Silva Campos
dc.creatorLetícia Maria Sathler Vianna
dc.creatorMárcio Feliciano Braga
dc.date.accessioned2025-04-25T13:58:46Z
dc.date.accessioned2025-09-08T22:49:43Z
dc.date.available2025-04-25T13:58:46Z
dc.date.issued2018
dc.identifier.doihttps://doi.org/10.12700/APH.15.3.2018.3.3
dc.identifier.issn1785-8860
dc.identifier.urihttps://hdl.handle.net/1843/81847
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofActa polytechnica hungarica
dc.rightsAcesso Aberto
dc.subjectSistemas não lineares
dc.subjectModelos matemáticos
dc.subject.otherLMIs, Discretization
dc.subject.otherUncertainty
dc.subject.otherTensor-Product, Model Transformation
dc.subject.otherEver since efficient interior-point methods for semi-definite programming made the use of Linear Matrix Inequalities (LMIs) computationally tractable, it has been extensively used for the robust control of linear systems
dc.titleA tensor product model transformation approach to the discretization of uncertain linear systems
dc.typeArtigo de periódico
local.citation.epage43
local.citation.issue3
local.citation.spage31
local.citation.volume15
local.description.resumoMost of the discretization approaches for uncertain linear systems make use of the series representation of the matrix exponential function and truncate the summation after a certain order. This usually leads to discrete-time uncertain polytopic models described by polynomial matrices with multiple indexes, which usually means that the higher the order used in the approximation, the higher the number of linear matrix inequalities (LMI) needed. This work, instead, proposes an approach based on a grid of the possible values for the matrix exponential function and an application of the tensor product model transformation technique to find a suitable polytopic model. Numerical examples are presented to illustrate the advantages and the applicability of the proposed technique.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://acta.uni-obuda.hu/Campos_Sathler-Vianna_Braga_82.pdf

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