Repetitive predictive control for systems subject to periodic disturbance with Markov jump uncertainty

In the consideration of constraints, repetitive model predictive control is an effective method to track a periodic signal as well as reject a periodic disturbance. However, in practical systems, it is difficult to determine the period of the disturbance; meanwhile, too much information is needed for the design of repetitive controller, thus will make it difficult for the design of controller. In this paper, a system subject to periodic disturbance with Markov jump uncertainty is considered and a new method of repetitive model predictive control with Markov jump model has been introduced to reject the disturbance. The simulation demonstrates that the proposed method is effective.