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Time Optimal Feedrate Generation with Confined Tracking Error based on Linear Programming
  • ISSN号：1009-6124
  • 期刊名称：J Syst Sci Complex
  • 时间：0
  • 页码：-
  • 分类：TP273.2[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置] V249.122.6[航空宇航科学与技术—飞行器设计]
  • 作者机构：[1]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China., [2]College of Information and Control Engineering, China University of Petroleum (East China), Qingdao 266580, China.
  • 相关基金：This paper was partially supported by a National Key Basic Research Project of China under Grant No. 2011CB302400 and the Natural Science Foundation of China under Grant No. 60821002.
  • 相关项目：从共形几何代数到高级不变量理论
作者： 郭建新|张强|高小山|李洪波|
关键词： 线性规划算法, 跟踪误差, 时间最优, 进给率, 二阶线性常微分方程, 承压, 加速度, 归结, CNC machining, dynamics, linear programming, optimal control, time optimal feedrate planning, tracking error.
中文摘要：

在这份报纸，时间的问题在追踪错误的限制 feedrate，轴加速，和轴下面的最佳的 feedrate 产生被考虑。主要贡献是关于轴速度和加速把追踪的错误限制归结为限制，当追踪的错误满足第二份订单时线性的平常的微分方程。在追踪的错误上基于这简化，原来的 feedrate 产生问题被归结为能高效地与线性编程算法被解决的一种新形式。模拟结果被用来验证方法。

英文摘要：

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.

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期刊信息
  • 《系统科学与复杂性学报：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编：
  • 地址：北京东黄城根北街16号
  • 邮编：100080
  • 邮箱：
  • 电话：010-62541831 62541834
  • 国际标准刊号：ISSN：1009-6124
  • 国内统一刊号：ISSN：11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库
  • 被引量:125