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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

H-infinity filter design for nonlinear polynomial systems

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Autor(es):
Lacerda, Marcio J. [1] ; Tarbouriech, Sophie [2, 3] ; Garcia, Germain [2, 3] ; Peres, Pedro L. D. [1]
Número total de Autores: 4
Afiliação do(s) autor(es):
[1] Univ Estadual Campinas, UNICAMP, Sch Elect & Comp Engn, BR-13083852 Campinas, SP - Brazil
[2] CNRS, LAAS, F-31400 Toulouse - France
[3] Univ Toulouse, LAAS, F-31400 Toulouse - France
Número total de Afiliações: 3
Tipo de documento: Artigo Científico
Fonte: SYSTEMS & CONTROL LETTERS; v. 70, p. 77-84, AUG 2014.
Citações Web of Science: 6
Resumo

The problem of H-infinity filter design for continuous-time nonlinear polynomial systems is addressed in this paper. The aim is to design a full order dynamic filter that depends polynomially on the filter states. The strategy relies on the use of a quadratic Lyapunov function and an inequality condition that assures an H-infinity performance bound for the augmented polynomial system, composed by the original system and the filter to be designed, in a regional (local) context. Then, by using Finsler's lemma, an enlarged parameter space is created, where the Lyapunov matrix appears separated from the system matrices in the conditions. Imposing structural constraints to the decision variables and fixing some values for a scalar parameter, design conditions for the H-infinity filter can be obtained in terms of linear matrix inequalities. As illustrated by numerical experiments, the proposed conditions can improve the H-infinity performance provided by standard linear filtering by including the polynomial terms in the filter dynamics. (C) 2014 Elsevier B.V. All rights reserved. (AU)

Processo FAPESP: 12/04942-8 - Filtragem de sistemas dinâmicos sujeitos a não-linearidades
Beneficiário:Márcio Júnior Lacerda
Linha de fomento: Bolsas no Exterior - Estágio de Pesquisa - Doutorado