Robust stability, H-2 and H-infinity guaranteed costs for discrete time-varying uncertain linear systems with constrained parameter variations

Autor(es)

Bertolin, Ariadne L. J. ; Peres, Pedro L. D. ; Oliveira, Ricardo C. L. F. ; IEEE

• Tipo de documento: Artigo Científico
• Fonte: 2019 AMERICAN CONTROL CONFERENCE (ACC); v. N/A, p. 6-pg., 2019-01-01.

Resumo

This paper is concerned with the problems of robust stability analysis and computation of H-2 or H-infinity (l(2)-gain) guaranteed costs for discrete-time linear systems with time-varying parameters. Two cases are investigated: i) the time-varying parameters are assumed to belong to a known interval and to have bounded rates of variation; ii) the time-varying parameters follow a known dynamics that can be represented through a discrete-time state space equation. A Lyapunov function that depends on the uncertain matrix of the system up to a certain degree kappa - 1 provides certificates for robust stability and guaranteed costs that can be cast as linear matrix inequality optimization problems, with sharper results as k increases. Numerical examples illustrate that the proposed conditions can be more accurate than other techniques from the literature with lower complexity. (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
• Processo FAPESP: 16/22020-1 - Estabilidade robusta de sistemas discretos incertos variantes no tempo por meio de desigualdades matriciais lineares
• Beneficiário: Ariádne de Lourdes Justi Bertolin
• Modalidade de apoio: Bolsas no Brasil - Mestrado