Abstract
In this paper, the stabilization problem for discrete-time switched systems with actuator saturation is investigated. Using switched Lyapunov functions and L2-gain analysis, a one-step method is proposed to design the controller and the anti-windup compensator. Some sufficient conditions are derived to guarantee the local asymptotic stability of the closed-loop system in terms of linear matrix inequalities (LMI). To illustrate to effectiveness of the proposed technique, a speed tracking controller of a freight train is designed for the automatic train operation (ATO). This system is modeled as a switched system since it is equipped with an electric traction system and a pneumatic brake system which different dynamics and saturation bounds.
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