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S形加减速算法前瞻处理研究
引用本文:朱明,游有鹏,何均. S形加减速算法前瞻处理研究[J]. 小型微型计算机系统, 2011, 32(10)
作者姓名:朱明  游有鹏  何均
作者单位:南京航空航天大学机电学院,南京,210016
基金项目:国家自然科学基金项目(50975144)资助
摘    要:由于S形加减速算法的表达式是分段表达式且包括无理表达式,在应用S形加减速算法进行前瞻处理时出现了两个问题:1、方程表达式难以确定;2、需要求解无理方程.针对第一问题,提出一种仅需要少量计算和比较的方法.为了求解无理方程,本文提出使用拉格朗日逼近法构造二次方程来逼近无理方程,详细分析了逼近产生的误差并给出一种误差校正的方法.文中提出的方法在Matlab平台仿真实现,并已通过实际加工NURBS曲线验证可行.

关 键 词:S形加减速  前瞻  拉格朗日逼近法  数控系统

Research on S-shape Acceleration/Deceleration Algorithm in Look-ahead
ZHU Ming , YOU You-peng , HE Jun. Research on S-shape Acceleration/Deceleration Algorithm in Look-ahead[J]. Mini-micro Systems, 2011, 32(10)
Authors:ZHU Ming    YOU You-peng    HE Jun
Affiliation:ZHU Ming,YOU You-peng,HE Jun (College of Mechanical and Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)
Abstract:Because of piecewise and irrational expressions of S-shape Acceleration/Deceleration(ACC/DEC) algorithm,two problems arise during processing of look-ahead: 1.hard to identify the expression of equation;2.irrational equation needs to be solved.This paper puts forward an approach with only several steps of computation and comparison to identify the expression of equation.Besides,the paper proposes to replace irrational equations with quadratic ones accomplished by Lagrange approximation method.Furthermore,the...
Keywords:S-shape acceleration/deceleration algorithm  look-ahead  lagrange approximation  numerical control system  
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