Receding horizon H∞ control for nonlinear systems with tensor product model transformation

In this paper, a novel tensor-product based receding horizon H
∞
control (TPRHHC) method for nonlinear systems with external disturbance is proposed. A new set of matrix inequality conditions on the terminal weighting matrix is proposed for TP modeled nonlinear systems wherein nonincreasing monotonicity of the optimal cost is guaranteed. Under the set of terminal inequality conditions, the proposed TPRHHC method guarantees the infinite horizon H
∞
performance for parameter-varying weighted systems with external disturbance. As an application of the proposed control method, three examples are simulated, Mass-Spring-Damper mechanical system is done to illustrate the effectiveness of TPRHHC, moreover, a synchronization problem for the Lorenz system and a regulation problem of an autonomous chaotic system are investigated.