Abstract:Aiming at the two-dimensional motion platform control process, without considering the problem of large circular interpolation error caused by the nonsynchronous motion process of the two physical axes, a variable synchronization ratio circular interpolation method for two-dimensional motion platform control is proposed. The proposed method uses the relationship between the change of interpolation point coordinates and the angle of the center of the circle, a virtual axis is constructed with the corresponding angle of the center of the circle of the interpolation point as the output, which is used as the guide axis of synchronous motion, and the physical axes are used as the follower axes of synchronous motion, so as to establish the synchronous motion relationship between the virtual axis and the physical axes; Based on the positional relationship between the guide axis and the follower axes, the synchronization ratio is obtained with the angle of the center of the circle as the intermediate parameter, and the circular interpolation process is transformed into the calculation of the synchronization ratio for each interpolation cycle; By adjusting the synchronization ratio for each interpolation cycle, the synthetic direction of the physical axes is changed, enabling precise circular interpolation. Experimental results show that the proposed method can control the two-dimensional motion platform to achieve circular interpolation at a relatively smooth speed. This not only improves the efficiency of the circular interpolation but also achieves high accuracy, making it highly suitable for applications requiring precise motion control.