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

Nenhuma Miniatura disponível
Data
2018
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
Most 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.
Descrição
Palavras-chave
Linear matrix inequalities, Uncertain systems
Citação
CAMPOS. 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.