LMI-based stability tests for LPV and switched discrete-time linear systems through redundant equations

Autor(es)

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

• Tipo de documento: Artigo Científico
• Fonte: IFAC PAPERSONLINE; v. 51, n. 26, p. 6-pg., 2018-01-01.

Resumo

This paper revisits the problem of testing the robust stability of discrete-time linear systems with arbitrarily fast time-varying parameters, which includes the important class of switched discrete time linear systems with arbitrary switching. By exploring the redundant description of the state space equations, sufficient linear matrix inequality (LMI) conditions of distinct complexities assuring robust stability are given in terms of the number kappa - 1 of redundant equations. As kappa >= 1 increases, the conditions become also asymptotically necessary. Numerical examples borrowed from the literature illustrate that the proposed conditions can be computationally less demanding than other convergent relaxations. (C) 2018, IFAC (International Federation of Automatic Control) Hosting 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
• 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