DEELT - Departamento de Engenharia Elétrica

URI permanente desta comunidadehttp://www.hml.repositorio.ufop.br/handle/123456789/5266

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2017 - 20203

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Autor: search.filters.author.Campos, Victor Costa da SilvaTem arquivos: Sim

Resultados da Pesquisa

Agora exibindo 1 - 3 de 3
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    Analytical upper bound for the error on the discretization of uncertain linear systems by using the tensor product model transformation.
    (2020) Campos, Victor Costa da Silva; Braga, Marcio Feliciano; Santos, Luciano Antonio Frezzatto
    This work provides analytical upper bounds on the discretization error of uncertain linear systems. The Tensor Product Model Transformation is used to approximate the derived discretized system, with a reduced number of vertices. Digital state feedback controllers are then designed for the discretized system, for comparison to other available work in the current literature.
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    A tensor product model transformation approach to the discretization of uncertain linear systems.
    (2018) Campos, Victor Costa da Silva; Vianna, Letícia Maria Sathler; Braga, Marcio Feliciano
    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.
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    LMI-based stability analysis for piecewise multi-affine systems.
    (2017) Nguyen, Anh Tu; Sugeno, Michio; Campos, Victor Costa da Silva; Dambrine, Michel
    This paper provides a computational method to study the asymptotic stability of piecewise multi-affine systems. Such systems stem from a class of fuzzy systems with singleton consequents and can be used to approximate any smooth nonlinear system with arbitrary accuracy. Based on the choice of piecewise Lyapunov functions, stability conditions are expressed as a feasibility test of a convex optimization with linear matrix inequality constraints. The basic idea behind these conditions is to exploit the parametric expressions of piecewise multi-affine systems by means of Finsler’s lemma. Numerical examples are given to point out the effectiveness of the proposed method.