2007 Volume 73 Issue 732 Pages 2232-2237
This paper considers swinging up of a cart-pendulum system under the presence of modeling error. We propose a control method that swings the pendulum by bringing the behavior of the pendulum to the homoclinic orbit. It is achieved by introducing a new Lyapunov function candidate. However, the cart may move too widely during the swinging of the pendulum. Hence, constraining the cart within the cart track length is also considered to solve the problem. Experimental results show the effectiveness of the proposed control method.