Time Optimal Feedrate Generation with Confined Tracking Error Based on Linear Programming  

作　　者：GUO Jianxin ZHANG Qiang GAO Xiao-Shan LI Hongbo 

机构地区：[1]Academy of Mathematics and Systems Science,Chinese Academy of Sciences [2]College of Information and Control Engineering,China University of Petroleum(East China)

出　　处：《Journal of Systems Science & Complexity》2015年第1期80-95,共16页系统科学与复杂性学报（英文版）

基　　金：partially supported by a National Key Basic Research Project of China under Grant No.2011CB302400;the Natural Science Foundation of China under Grant No.60821002

摘　　要：In this paper,the problem of time optimal feedrate generation under confined feedrate,axis accelerations,and axis tracking errors is considered.The main contribution is to reduce the tracking error constraint to constraints about the axis velocities and accelerations,when the tracking error satisfies a second order linear ordinary differential equation.Based on this simplification on the tracking error,the original feedrate generation problem is reduced to a new form which can be efficiently solved with linear programming algorithms.Simulation results are used to validate the methods.

关 键 词：CNC machining dynamics linear programming optimal control time optimal feedrate planning tracking error. 

分 类 号：O221.1[理学—运筹学与控制论]