Estabilidade prática de sistemas afins com comutação a tempo discreto e ponto de equilíbrio parcialmente conhecido

Abstract

In this paper, we present practical stability conditions for discrete-time switched affine systems based on Lyapunov-Metzler inequalities, which encompass others from the literature.These systems are used to model the dynamic behavior of several electronic devices, mainly in the power electronics domain.More specifically, the proposed conditions are less conservative for the existence of a set of attraction when compared with those derived from a quadratic Lyapunov function.Moreover, the proposed methodology allows for a convergence region dependent on the controlled output defined by the designer and, differently from many available techniques, admits that the equilibrium point be partially known.Two examples are used for illustration, being the first one composed of a switched affine system with no stable convex combination among its subsystems and the second, a practical application where the output voltage of a DC-DC boost converter is controlled.