基于目标跟踪法的椭圆曲线插补和加减速算法研究

Research on the elliptic curve interpolation algorithm and acceleration-deceleration algorithm based on target tracking method

目的满足椭圆曲线加工高速、高精度要求。方法深入研究目标跟踪法对椭圆曲线的精确插补,算法结合弓高误差约束,能随椭圆曲线曲率自适应调整进给速度。提出了一种新的三次样条曲线加减速控制方法,该方法使加加速度呈线性变化,极大地减小了加工过程对数控机床造成的冲击。最后采用MATLAB进行实例仿真和性能验证分析。结果该方法在椭圆轨迹插补过程中,插补最大轮廓误差不大于一个脉冲当量(0.001mm),切削进给速度基本保持恒定。结论该算法运算速度快、误差小,实现了高速、高精度要求。

Objective To meet the requirements of high processing speed and high precision of el- liptic curves. Methods-The accurate interpolation of elliptic curves based on target tracking algorithm was further studied. Combined with the chord error constraints, the feed speed would adaptively ad- just with elliptic curve curvature. A new three order spline curve acceleration and deceleration control method was also proposed. The method makes the acceleration change linearly, thus greatly reducing the impact caused by the processing of CNC machine tool. Finally the example simulation and per- formance analysis proved by MATLAB. Results-The results showed that maximum contour interpo- lation error was less than one pulse equivalent（0. 001 mm） and the cutting feed rate remained constant in the elliptic interpolation process with this new method. Conclusion--The algorithm has fast compu- ting speed, small error, the requirements of high speed and high precision were both achieved.