Controle robusto de sistemas afins com comutação e pontos de equilíbrio incertos

  • João L. N. Brito Laboratório Nacional de Luz Síncrotron - LNLS, 13083-970; Faculdade de Engenharia Mecânica - FEM/UNICAMP, 13083-860
  • Grace S. Deaecto Faculdade de Engenharia Mecânica - FEM/UNICAMP, 13083-860
  • José C. Geromel Faculdade de Engenharia Elétrica e de Computação - FEEC/UNICAMP, 13083-852
Keywords: Switched affine systems, global asymptotic stability, robustness, LMI


This paper deals with robust control of switched affine systems with uncertain affine term, ensuring asymptotic stability of a set of pre-specified equilibrium points. In this class of switched systems, the affine term depends linearly on an uncertain vector which can be used, for instance, to model input and load variations of dc-dc power converters. The goal is to design a switching function that governs the trajectories of the closed-loop system towards an uncertain, partially unknown equilibrium point, in a framework characterized by lack of information. The control design problem is decomposed into two successive sub-problems expressed by linear matrix inequalities. An academic example with two unstable third order subsystems illustrates the theoretical results. Furthermore, the control design of a dc-dc flyback converter is used for comparison with the results available in the literature.