Guaranteed cost control of discrete-time saturated switched systems based on anti-windup approach

Abstract

This paper considers the guaranteed cost control and anti-windup design problem for a class of discrete-time saturated switched systems. The switching strategy and anti-windup compensators are designed, for guaranteeing that the considered system is asymptotically stable and simultaneously the minimised upper-bound of cost function is obtained. By using the multiple Lyapunov functions method, we derive some sufficient conditions about the existence of anti-windup compensation gains of guaranteed cost. Furthermore, the minimised upper-bound of cost function is determined by solving an optimisation problem in terms of linear matrix inequalities constraints. Finally, a numerical example is given to show the effectiveness of the proposed method.