A New Feedrate Adaptation Control NURBS Interpolation Based on de Boor Algorithm in CNC Systems

Abstract—The interpolation method and feedrate adaptation control are the two most important factors to influence the quality and accuracy of manufacturing for NURBS on CNC systems. In this paper, we propose an integrated approach to solve the feedrate adaptation control NURBS interpolation problem by considering interpolation and feedrate control together with the “tail ” handling. We propose a de-Boor-algorithm-based NURBS interpolation model with the second-order Taylor expansion and design a new algorithm to calculate actual deceleration points to remove the “tail ” based on a novel concept, reverse NURBS interpolation. To supplement the tail removal in velocity control, a novel feedrate adaptation control algorithm is proposed. The experimental results show that our integrated method can significantly improve the accuracy. I