Estabilização Poliquadrática de Sistemas Positivos Chaveados com Incertezas Politópicas Variantes no Tempo e Alocação Regional de Autovalores

Rodrigo Possidônio Noronha; Ginalber Luiz de Oliveira Serra

doi:10.20906/CBA2022/3395

Rodrigo Possidônio Noronha Av. dos Portugueses, s/n, Bacanga, CEP: 65001-970, Universidade Federal do Maranhão, MA
Ginalber Luiz de Oliveira Serra Av. Getúlio Vargas, 04, Monte Castelo, São Luís, CEP: 65030-005, Instituto Federal do Maranhão, MA

DOI: https://doi.org/10.20906/CBA2022/3395

Keywords: Eigenvalues Placement, Linear Matrix Inequalities, Polyquadratic Stabilization, Polytopic Uncertainties, Positive Systems, Switched Systems

Abstract

This paper addresses the polyquadratic stabilization of switched linear systems with polytopic uncertainties. Time-varying uncertain parameter-dependent switched Lyapunov functions are used to obtain conditions, in the form of linear matrix inequalities, that guarantee the polyquadratic stabilization and positivity of the dynamical system. The present work considers the case of discrete time-varying polytopic uncertainties in the switched state matrix, switched input matrix, and state feedback switched gain matrix. In addition, polyquadratic stabilization is performed with the eigenvalues placement in a circular region in the complex plane. Two example systems are employed to verify the effectiveness of the proposed conditions.