Pre-compensation Strategy for Tracking Error and Contour Error by Using  Cross-Coupled Control based on Improved PSO Optimization Fuzzy-PID Control

Abstract This paper primarily investigates how to enhance the tracking accuracy of servo systems and the contour performance of precision machining. Leveraging the characteristics of the servo structure, a tracking error prediction model is established. The contour error model, based on the spatial relationship between tracking error and contour error, simplifies complex traditional iterative calculations and offers greater flexibility. To achieve higher contour accuracy, a novel precompensation control strategy for cross-coupling of tracking error and contour error is designed. This strategy employs an improved particle swarm optimization (PSO) to optimize the fuzzy PID method for adjusting compensation values. The strategy optimizes the parameters of the central fuzzy PID controller through an improved particle swarm optimization algorithm to adjust and allocate compensation values to each axis. It takes into account the mismatch caused by the inertial parameters of each axis, ensuring precise control over contour errors. Compared to other crosscoupling control methods, this approach significantly improves tracking performance and reduces contour errors. Finally, the effectiveness of the proposed strategy is verified through experiments and simulations.