Closed-loop tracking control of a pendulum-riven cart-pole underactuated system

This paper investigates a new modelling and control issue: the tracking control problem of underactuated dynamic systems by using a special example – a pendulum-driven cart-pole system. A dynamic model of a pendulum-driven cart-pole system is firstly presented. Then, a six-step motion strategy of the pendulum-driven cart-pole system is proposed. After that, a desired profile of the pendulum joint velocity is developed based on the proposed six-step motion strategy. The desired joint position and acceleration can be computed using the desired joint velocity profile. A closed-loop control approach is proposed using the partial feedback linearization technique. Finally, extensive simulation studies are conducted to demonstrate the proposed approaches