Dynamic stabilization of the pendulum in a moving potential well

The paper presents a new approach to the dynamic stabilization of the pendulum in an arbitrary angle. In this approach the desired angle of the pendulum's position is changed in time. This is achieved by controlling the angle of oscillations of the pendulum's suspension point which leads to controlling the pendulum in a moving potential well. The exemplary form of the input control was proposed and then the ability to control the pendulum was confirmed by numerical analysis. Additionally, the transition of the pendulum through the whole range of its angle position has been shown.