Abstract
There are some approaches to control the vibration of a pendulum. Most of control models are composed of a pendulum and cart in a cart-type single pendulum system. However, our control method suggested in this report removes the pendulum from control model, and give the reference motions to state variables of the cart in order to control the vibration of pendulum. The reference motions are defined by Jacobian elliptic function which shows the solution of the free vibration of a pendulum. In this report, our control method is formulated and the effectiveness is verified by numerical simulation.
