H-infinity and H-2 memory static output-feedback control design for uncertain discrete-time linear systems

Autor(es)

Frezzatto, Luciano ; Oliveira, Ricardo C. L. F. ; Peres, Pedro L. D.

• Tipo de documento: Artigo Científico
• Fonte: IFAC PAPERSONLINE; v. 51, n. 25, p. 6-pg., 2018-01-01.

Resumo

This work investigates the problem of designing H-infinity and H-2 output-feedback controllers for discrete-time linear systems with time-invariant uncertainties. The proposed control law incorporates samples of the system output measurements over several instants of time, producing a controller with memory that can provide an improved performance to the closed-loop system. Sufficient parameter-dependent linear matrix inequality conditions are given for the computation of the gains associated with the incorporated measurements. A bound to the H-infinity or the H-2 norms of the closed-loop system is assured by means of a parameter-dependent Lyapunov matrix. Numerical examples illustrate the advantages of the proposed approach when compared to other methods from the literature, showing that better H-infinity and H-2 performance can be obtained by increasing the amount of information in the control law. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 13/05957-1 - Estabilidade e controle de sistemas dinâmicos: incertezas, restrições e modelos polinomiais
• Beneficiário: Luciano Antonio Frezzatto Santos
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• 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
• Processo FAPESP: 17/01771-1 - Projeto de controladores e filtros para sistemas nebulosos e sistemas híbridos utilizando LMIs: Aplicações e extensões
• Beneficiário: Luciano Antonio Frezzatto Santos
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado