Abstract
It is difficult to apply the existing adaptive control methods to an inverted pendulum and cart system if it is assumed that all physical parameters are unknown, because the number of control inputs is less than that of outputs. Regarding the inverted pendulum system, the parameter uncertainties of the cart are larger than those of the pendulum. In this paper, the partially adaptive control system is designed considering that the parameter uncertainties exist only in the cart. The inverted pendulum and cart system is divided into the known part which includes only the parameters of the pendulum and the unknown part which includes the parameters of the cart. Therefore, LQ control is applied to the known part and adaptive control treats the unknown part based on the backgtepping technique. Finally, the experimental results are provided and the usefulness of this technique is confirmed.
