Energy-efficient Swing-up and MPC Stabilization of an Inverted Pendulum

This article presents a control framework to swing up and stabilize the inverted pendulum-cart system in its unstable equilibrium and maintain this configuration while changing the reference position of the cart. The swing-up problem is solved by an energy-based approach that respects physical constraints of the system. Stabilization and subsequent cart position tracking is addressed by means of an implicit model predictive controller with guaranteed stability imposed via a terminal set constraint. Viability of the proposed framework is practically demonstrated on a laboratory inverted pendulum system, the states of which were estimated by a continuous-discrete extended Kalman filter.