The Optimal Stabilization of Cart-Pole System: A Modified Forwarding Control Method

In this paper, an improved design method is proposed to extend the field of the application of the common integrator forwarding technique. This method is used to design a stabilizer for the cart-pole system. Moreover, it is show that the control Lyapunov function which is obtained from this method can also be used to design a globally asymptotically stabilizing controller with optimality. Computer simulations are given for illustration and verification.