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

In this paper, a novel tensor-product based receding horizon H-infinity 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 non-increasing monotonicity of the optimal cost is guaranteed. Under the set of terminal inequality conditions, the proposed TPRHHC method guarantees the infinite horizon H-infinity 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.