A Comparison of LQR and MPC Control Algorithms of an Inverted Pendulum

摘要

The subject of this paper is a comparison of two control strategies of an inverted pendulum on a cart. The first one is a linear-quadratic regulator (LQR), while the second is a state space model predictive controller (SSMPC). The study was performed on the simulation model of an inverted pendulum, determined on the basis of the actual physical parameters collected from the laboratory stand AMIRA LIP100. It has been shown that the LQR algorithm works better for fixed-value control and disturbance rejection, while the SSMPC controller is more suitable for the trajectory tracking task. Furthermore, the system with SSMPC controller has smoother changes in the control signal, that can be beneficial for an actuator, while LQR controller may generate adverse, rapid changes in the control signal.