In order to improve the trajectory tracking accuracy of the ball and plate system and enhance the system disturbance-rejection performance, an error backstepping control scheme under the extended state observer was studied. Firstly, an extended state observer to estimate the system's uncertain disturbance was designed. Secondly, an error backstepping controller with low-pass filter performance was designed by combining the observed state variables of the angle and the plate velocity with the error backstepping method. The experiment results show that the proposed controller has good trajectory tracking performance, and the effectiveness of the proposed control strategy was verified.