Preview Control of Switched Systems

This paper considers the preview control problem for switched systems for tracking a previewable reference input. First, an augmented closed-loop system model is developed in order to transform the asymptotic tracking problem into a stabilization problem. Then, by applying results from the multiple Lyapunov functional theory and average dwell time technique, sufficient conditions in terms of linear matrix inequalities and a lower bound on the switching signal are established to ensure asymptotic stability for the augmented closed-loop system with a prescribed l(2) - l(infinity) disturbance attenuation performance level gamma. A numerical example on a switched electrical circuit is presented to demonstrate the effectiveness of the proposed design approach.