​This paper presents the simulation design process of PID controller for ball and plate system. The position of the ball is controlled to follow a given trajectory thanks to the control of changing the tilt angle of the two coordinate axes of the plate. In a condition with specific system parameters, the process of finding the coefficients for the controller is presented and selected. In addition, the specific linearization condition for equation (2) is also presented. The simulation results show that the PID controller with the set of parameters determined by the Ziegler - Nichols method has made the system stable and well established.

Keywords: Ball and plate, PID control, Ziegler - Nichols method.