State dependent parametrizations for nonlinear MPC

Abstract This paper aims at reducing the computational load caused by the online optimization in nonlinear model predictive control (MPC) by introducing a new type of parametrizations for the predicted input trajectory. In order to determine offline the state dependent parametrizations, a tailored data mining algorithm is introduced. Refinements to achieve feasibility of the parametrized constrained optimization problem are presented. Theoretical guarantees on constraint satisfaction and feasibility employing the parametrizations are provided for Lipschitz continuous systems. In a numerical example the benefits of the new method are illustrated.