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

Abstract

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.