一种基于函数逼近的柔性加减速算法研究

嵌入式数控系统优点诸多，但系统资源、处理能力有限。三角函数加减速算法拥有柔性冲击小、精度高的优点，但其计算复杂，当运用在嵌入式数控系统时，难以满足系统的高实时性要求。针对这个问题，提出一种加减速算法，基于最佳平方逼近方法，利用多项式函数逼近三角函数，进而推理、构建出完整的加减速方程，随后分析算法在不同情况下的速度规划。最终对该算法进行了仿真分析并在以MCU为控制器的数控平台进行了实验，结果表明：算法在保留三角函数曲线柔性的同时降低了计算复杂度，提高了加工效率。

Research on a Flexible Acceleration & Deceleration Algorithm Based on Function Approximation

Embedded CNC system has many advantages,but its system resources and processing capacity are limited.The trigonometric function acceleration/deceleration algorithm has the advantages of small flexible impact and high accuracy,but its calculation is complex,and it is difficult to meet the high real-time requirements of the system when applied to the embedded numerical control system.To solve this problem,an acceleration/deceleration algorithm was proposed.Based on the best square approximation,the polynomial function was used to approximate the trigonometric function,then the complete acceleration/deceleration equation was deduced and constructed.Then the speed planning of the algorithm under different conditions was analyzed.Finally,the algorithm was simulated and then tested on a CNC platform controlled by MCU.The results show that the algorithm reduces the computational complexity and improves the processing efficiency while preserving the flexibility of the trigonometric function curve.