Stability analysis and stabilization of switched discrete-time systems subject to actuator saturation

This paper studies the problem of stability analysis and stabilization of switched discrete-time linear systems subject to actuator saturations. Switched saturation-dependent Lyapunov functions are exploited to derive new stability conditions. Furthermore, based on the new stability criterion, new methods for designing stabilizing state feedback controllers and the estimation of domain of attraction are presented in terms of solutions of a set of linear matrix inequalities (LMIs). A numerical example is given to show the effectiveness of the proposed methods.