Control and filtering of time-varying linear systems via parameter dependent Lyapunov functions / Controle e filtragem de sistemas lineares variantes no tempo por meio de funções de Lyapunov dependentes de parametros

AUTOR(ES)
DATA DE PUBLICAÇÃO

2009

RESUMO

The main contribution of this dissertation is to propose conditions for linear filter and controller design, considering both robust and parameter dependent structures, for discrete time-varying systems. The controllers, or filters, are obtained through the solution of optimization problems, formulated in terms of bilinear matrix inequalities, using a method that alternates convex optimization problems described in terms of linear matrix inequalities. Both affine and multi-affine in different instants of time (path dependent)Lyapunov functions were usedto obtain the design conditions, as wellas extra variables introduced bythe Finsler s lemma.Design problems that take into account an H guaranteed cost were investigated, providing robustness with respect to unstructured uncertainties. Numerical simulations show the effciency of the proposed methods in terms of H performance when compared with other strategies from the literature

ASSUNTO(S)

liapunov linear time invariant systems control theory otimização matematica mathematical optimization sistemas incertos variantes no tempo teoria de controle liapunov functions funções de stability estabilidade

ACESSO AO ARTIGO

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