Controle Chaveado Via Realimentação de Estados Para Sistemas Lineares Chaveados a Tempo Discreto Por Meio de LMIs Iterativas

Abstract

This paper proposes an algorithm based on LMIs to compute a switching control law and state feedback gains that stabilize a discrete-time switched system. The adopted design methodology is based on the existence of a quadratic Lyapunov function, which typically yields synthesis conditions involving the search for scalar parameters in terms of nonconvex inequalities. Differently from the available methods, in the proposed technique the switching law and feedback gains are computed simultaneously through an iterative procedure, without the need to resort to grid-based strategies (as usual in the literature), due to the fact that the scalar parameters appear affinely in the conditions. Numerical examples illustrate the results.