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

dc.contributor.authorCampos, Victor Costa da Silva
dc.contributor.authorVianna, Letícia Maria Sathler
dc.contributor.authorBraga, Marcio Feliciano
dc.date.accessioned2019-05-17T13:21:50Z
dc.date.available2019-05-17T13:21:50Z
dc.date.issued2018
dc.description.abstractMost 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.pt_BR
dc.identifier.citationCAMPOS. V. C. da S.; VIANNA, L. M. S.; BRAGA, M. F. A tensor product model transformation approach to the discretization of uncertain linear systems. Acta Polytechnica Hungarica, v. 15, n. 3, p. 31-53, 2018. Disponível em: <http://www.uni-obuda.hu/journal/Campos_Sathler-Vianna_Braga_82.pdf>. Acesso em: 19 fev. 2019.pt_BR
dc.identifier.issn1785-8860
dc.identifier.urihttp://www.repositorio.ufop.br/handle/123456789/11330
dc.identifier.uri2http://www.uni-obuda.hu/journal/Campos_Sathler-Vianna_Braga_82.pdfpt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.subjectLinear matrix inequalitiespt_BR
dc.subjectUncertain systemspt_BR
dc.titleA tensor product model transformation approach to the discretization of uncertain linear systems.pt_BR
dc.typeArtigo publicado em periodicopt_BR
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