Swing-up and stabilization of a Twin-Pendulum under state and control constraints by a fast NMPC scheme

In this paper, a real-time implementable Nonlinear Model Predictive Control scheme is proposed for the swing-up and the stabilization of a Twin-Pendulum system under control and state constraints. The basic feature lies in a particular parametrization of the set of candidate control profiles leading to a decision variable that may take only 3 admissible values. Simulations are proposed to assess the efficiency of the proposed feedback.