H infinity control for Markov jump systems based on receding horizon

With consideration of the discrete-time Markov jump systems with additive disturbance,the receding horizon H infinity control problem is studied. A H infinity predictive controller is designed based on Multi-step Control Strategy with partly unknown transition probabilities between jump modes, which results in the larger feasible region. The sufficient conditions of the ensuring the recursive feasibility of robust model predictive control problem is investigated. The numerical example verifies the effectiveness of the proposed approach.