H-infinity static output-feedback control for positive uncertain discrete-time linear systems

Autor(es)

Spagolla, Amanda ; Morais, Cecilia F. ; Oliveira, Ricardo C. L. F. ; Peres, Pedro L. D. ; IEEE

• Tipo de documento: Artigo Científico
• Fonte: 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC); v. N/A, p. 6-pg., 2019-01-01.

Resumo

This paper proposes a new approach based on linear matrix inequality (LMI) relaxations to address the problem of H-infinity output-feedback control for positive uncertain discrete-time linear systems. Compared with most of the existing robust control methods, that employ LMI conditions based on change of variables and impose structural constraints on the optimization variables to compute an output-feedback gain, the main novelty of the proposed technique is to deal directly with the control gain as an optimization variable through an iterative procedure. This innovative strategy is specially advantageous in the context of robust control for positive systems, since the positiveness of the closed-loop matrices can be assured without constraining other optimization variables. Therefore, robust H-infinity, static output- or state-feedback control design can he handled in a straighttiwward way. Moreover, structural constraints such as decentralization or bounded entries in the control gain, in general not treated by the existing methods, can also be considered. Some relaxation strategies and the feasibility of the initial conditions adopted in the iterative procedure are also discussed. The flexibility and advantages of the proposed approach are illustrated by means of numerical examples borrowed from the literature and in a problem motivated by a practical application. (AU)

• Processo FAPESP: 19/09363-5 - Controle de sistemas lineares positivos incertos por meio de desigualdades matriciais lineares
• Beneficiário: Amanda Spagolla
• 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