Swinging-up and stabilizing control of inverted pendulum on cart system by hybrid controller

In this paper, a hybrid controller designed for swinging-up and stabilizing an inverted pendulum on cart system is presented. The energy control concept is employed for moving the cart back and forth until the total energy of kinetic energy and potential energy are changed enough to swing the inverted pendulum up to around the upright position within the ranges of pendulum angle and angular velocity specified in the switching condition. After that, the stabilizing controller is switched to stabilize the inverted pendulum at the upright position. The stabilizing controller is a linear servo state feedback controller designed by coefficient diagram method. The simulation and experimental results in swinging-up the pendulum from its pendant position to around the position within a limited travel of the cart without pre-assigned cart's position and stabilizing the inverted pendulum on cart are also shown for comparison.