H-2 control and filtering of discrete-time LPV systems exploring statistical information of the time-varying parameters

Autor(es)

Palma, Jonathan M. ^{[1, 2]} ; Morais, Cecilia F. ^{[3, 1]} ; Oliveira, Ricardo C. L. F. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Sch Elect & Comp Engn, UNICAMP, BR-13083852 Campinas, SP - Brazil

^[2] Univ Catolica Maule UCM Talca, Fac Ciencias Ingn, Dept Comp & Ind, Talca - Chile

^[3] Pontifical Catholic Univ Campinas, Ctr Exact Environm & Technol Sci, BR-13086900 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS; v. 357, n. 6, p. 3835-3864, APR 2020.
• Citações Web of Science: 0

Resumo

This paper introduces a new strategy to improve performance in gain-scheduled control and filtering for LPV systems exploiting statistical information about the time-varying parameters whenever available. The novelty of the technique, named sub-domain optimization heuristic (SDOH), is to design controllers or filters treating robust stability independently of performance. The performance is optimized only in a sub-domain of the time-varying parameters, where a higher frequency of occurrence is expected, while the robust stability is certificated for the whole domain. The problem of gain-scheduled design subject to inexact measurements is discussed in details as main motivation but any other feedback or filter strategy for LPV systems were statistical information about the time-varying parameters is known can be handled in a similar way. Still in the context of inexact measurements, a more complete modeling for the additive uncertainty is given, generalizing previous results from the literature for two types of uncertainties, polytopic and affine. A new design condition for H-2 full-order LPV filtering is also given as contribution. Several numerical examples are presented to illustrate the results. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 17/18785-5 - Desigualdades Matriciais Lineares Dependentes de Parâmetros Aplicadas à Análise de Estabilidade e à Síntese de Controladores e Filtros para Sistemas Dinâmicos com Incertezas
• Beneficiário: Pedro Luis Dias Peres
• Modalidade de apoio: Auxílio à Pesquisa - Regular