中国机械工程Issue(7)：912-916,942,6.DOI:10.3969/j.issn.1004132X.2015.07.010
基于牛顿迭代法的S形加减速时间算法研究
Research on Algorithm of S_shape Acceleration and Deceleration Time Based on Newton Iterative Method
杨亮亮 1许守金 2史伟民 1葛宏伟2
作者信息
- 1. 浙江省现代纺织装备技术重点实验室，杭州，310018
- 2. 浙江理工大学，杭州，310018
- 折叠
摘要
Abstract
Due to S_shape acceleration and deceleration control involved solving multiple high-or-der equation or inequality,and the final solution was non negative,so that it was difficult to calculate. Therefore nonlinear equations of five independent variables of S_shape acceleration and deceleration control were decomposed into two nonlinear equations of two independent variables and a linear equa-tion according to time optimal principle and the constraints of speed,acceleration.The final solutions were obtained by Newton iterative method and the iterative correction method then the velocity curve and interpolation algorithm were found.The simulation and experiments were presented to prove that the algorithm is simplicity,stable operation and the ability to meet the requirements of high speed and high precision of computer numerical control.关键词
S形加减速控制/五元非线性方程/牛顿迭代法/时间最优原则Key words
S_shape acceleration and deceleration control/nonlinear equations of five independent variables/Newton iterative method/time optimal principle分类
信息技术与安全科学引用本文复制引用
杨亮亮,许守金,史伟民,葛宏伟..基于牛顿迭代法的S形加减速时间算法研究[J].中国机械工程,2015,(7):912-916,942,6.
