S形加减速算法前瞻处理研究  

Research on S-shape Acceleration/Deceleration Algorithm in Look-ahead

作　　者：朱明[1] 游有鹏[1] 何均[1] 

机构地区：[1]南京航空航天大学机电学院,南京210016

出　　处：《小型微型计算机系统》2011年第10期2140-2144,共5页Journal of Chinese Computer Systems

基　　金：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.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 errors of approximation is analyzed in details and a modification method of is given.The proposed methods are simulated on platform of Matlab and verified feasible by machining practical NURBS curves.

关 键 词：S形加减速 前瞻 拉格朗日逼近法 数控系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]