Estabilidade Regional de Sistemas Lineares de Tempo Discreto sob Saturação de Controle Assimétrica

Leonardo Cabral; Giorgio Valmorbida; João Manoel Gomes da Silva Jr.

doi:10.20906/CBA2022/3382

Leonardo Cabral Programa de Pós-graduação em Engenharia Elétrica, Universidade Federal do Rio Grande do Sul, RS
Giorgio Valmorbida Laboratoire des Signaux et Systèmes, CentraleSupèlec, CNRS, Université Paris-Saclay
João Manoel Gomes da Silva Jr. Programa de Pós-graduação em Engenharia Elétrica, Universidade Federal do Rio Grande do Sul, RS

DOI: https://doi.org/10.20906/CBA2022/3382

Keywords: Regional stability analysis, Asymmetric saturation, Lyapunov methods

Abstract

This work addresses the problem of regional stability analysis of discrete-time linear systems subject to asymmetric control saturation. Conditions to assess the exponential stability of the origin using piecewise quadratic functions as Lyapunov candidates are proposed. Estimates of the region of attraction of the origin are obtained as level sets of those functions and additional conditions to obtain better estimates considering some size criteria are discussed. A numerical example shows the applicability of the proposed method.