Abstract:
A switched predictor is constructed for a class of linear switched systems with input delay to predict the future system state and counteract the input delay. The estimated state is used to design a switching controller that switches signals in any situation so that the closed-loop switched system is globally asymptotically stable under arbitrary switching. The initial state of the predictor is deduced according to the present system state and future switching information. When the predictor's advanced system switching time is equal to the original system input delay time, it can accurately predict the future state of the system, which simplifies the dynamics of the closed-loop subsystems, the controller design, and the stability analysis procedure of the switched system. The simulation shows that the switched predictor can provide a future system state, and the predictor-based controller achieves asymptotic stability.