Hybrid fuzzy control for swinging up and stabilizing of the pendulum-cart system

This paper presents the design and implementation of a hybrid fuzzy control for the swinging up and stabilizing of the pendulum-cart system. The fuzzy swing-up controller is employed to swing the pendulum up from its pendant position to the stabilization zone in the upright position using as few rules as possible. After the pendulum reaches the zone, the fuzzy stabilizing controller is then switched to stabilize the inverted pendulum at the upright position. The controller is designed based on a robust performance state feedback controller using Linear Matrix Inequalities (LMI) approach for Takagi-Sugeno fuzzy systems. Numerical simulation and real-time experiment are presented to show the effectiveness of the method.