Learning-based linear contour error compensation method for 2X/Y-type linear feed axes

LIN Xian-kun; YU Chui-shun; LI Hao-lin

doi:10.3788/OPE.20111905.1048

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Learning-based linear contour error compensation method for 2X/Y-type linear feed axes

Article | 更新时间：2020-08-12

- Learning-based linear contour error compensation method for 2X/Y-type linear feed axes
- Optics and Precision Engineering Vol. 19, Issue 5, Pages: 1048-1053(2011)
- 作者机构：
  
  上海理工大学机械工程学院,上海 200093
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20111905.1048
  CLC： TG659;TM359.4
- Received：19 May 2010，
  
  Revised：26 August 2010，
  
  Published Online：26 May 2011，
  
  Published：26 May 2011
- 稿件说明：
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林献坤, 于垂顺, 李郝林. 2X/Y直线进给轴直线轮廓误差的学习补偿方法[J]. 光学精密工程, 2011,19(5): 1048-1053

LIN Xian-kun, YU Chui-shun, LI Hao-lin. Learning-based linear contour error compensation method for 2X/Y-type linear feed axes[J]. Editorial Office of Optics and Precision Engineering, 2011,19(5): 1048-1053
林献坤, 于垂顺, 李郝林. 2X/Y直线进给轴直线轮廓误差的学习补偿方法[J]. 光学精密工程, 2011,19(5): 1048-1053 DOI： 10.3788/OPE.20111905.1048.

LIN Xian-kun, YU Chui-shun, LI Hao-lin. Learning-based linear contour error compensation method for 2X/Y-type linear feed axes[J]. Editorial Office of Optics and Precision Engineering, 2011,19(5): 1048-1053 DOI： 10.3788/OPE.20111905.1048.

摘要

为了提高2

X/Y

直线进给轴的联动直线轮廓精度

研究了进给轴联动直线轮廓偏差的测量、评价和补偿方法。分析了直线电机驱动进给过程存在直线轮廓偏差的原因及其补偿的复杂性

给出一种基于学习的直线轮廓误差在线精密补偿方法。该方法通过激光干涉仪的2D时间基准精密测量龙门联动轴直线轮廓的实时坐标值

应用最小二乘方法评价确定理想直线方程;通过与理想直线比较得到直线偏差学习样本

建立基于最小二乘支持向量回归方法的直线偏差识别模型

以模型的在线回归计算确定偏差补偿量。最后给出了补偿量控制输出策略与补偿系统构建方案

并在自构建的直线进给轴平台上进行了在线补偿实验。结果表明

应用该方法对2

X/Y

直线进给轴联动的直线轮廓偏差进行在线补偿

可使轮廓精度提高53%。

Abstract

To improve the linear contour accuracy of 2

X/Y

gantry linear feed axes

the research of the literature focuses on the straightness accuracy measurement

evaluation and error compensation of the axes. Firstly

the cause of linear contour error in interpolation process and its compensation complexity were analyzed for a 2

X/Y

gantry feed axis driven by linear motors. Then a learning algorithm based compensation method was applied to increase the contour accuracy for this type of gantry axis.In the method

2D time function of a laser interferometer was utilized to acquire real-time interpolation error data and least square method was taken to evaluate and determine the ideal linear equation. A model based on least square support vector regression technique was established to recognize the errors. With the support vectors from learning process

the real-time compensation values were acquired through the model regression calculation. Finally

the compensation output strategy and corresponding realization system were also proposed. To demonstrate the procedure of the proposed approach

an experiment was conducted on the self-construction 2

X/Y

axis feeding platform. The result shows that the combination technique can compensate the interpolation error and increase the straightness accuracy by 53%.

关键词

Keywords

references

LI X L,DU R, DENKENA B,et al.. Tool breakage monitoring using motor current signals for machine tools with linear motors [J]. IEEE Transaction on Industrial Electronics, 2005,52(5):1403-1408.[2] HSIEH M F, TUNG CH J,YAO W S. Servo design of a vertical axis drive using dual linear motors for high speed electric discharge machining [J]. International Journal of Machine Tools & Manufacture, 2007(47):546-554.[3] 张立新,黄玉美, 乔雁龙. 并联轴直线运动直线度的检测与误差补偿[J]. 机械工程学报,2008,44(9):220-225. ZHANG L X, HUAN Y M, QIAO Y L. Interferometry measurement and errors compensation of straightness for parallel axis with straight-line motion [J]. Chinese Journal of Mechanical Engineering, 2008,44(9):220-225. (in Chinese)[4] YAN M T,HUANG K Y,SHIU Y J, et al.. Disturbance observer and adaptive controller design for a linear-motor-driven table system [J]. International Journal Advanced Manufacturing Technology, 2007(35):408-415.[5] 袁博,林献坤. 基于Gantry驱动的双直线电动机高速动态同步误差性能测试研究[J]. 制造技术与机床,2010,(2):1-5. YUAN B, LIN X K. Dynamic synchronous error test for dual linear motor with high feed rate based on gantry axes function [J]. Manufacturing Technology & Machine Tool, 2010,(2):1-5. (in Chinese)[6] UCHIYAMA N,NAKAMURA T,YANAGIUCHI H. The effectiveness of contouring control and a design for three-dimensional machining [J]. International Journal of Machine Tools & Manufacture, 2009,49:876-884.[7] 花世群,骆英. 基于干涉原理的高精度直线度误差测量[J]. 中国激光,2006,33(1):76-80. HUA S Q, LUO Y. High precision measurement of alignment error based on theory of interference [J]. Chinese Journal of Lasers, 2006,33(1):76-80. (in Chinese)[8] OPTODYNE, INC. Laser Doppler displacement meter user's guide (MCV-500)[M], 2005.[9] 林伟青,傅建中,陈子辰,等. 数控机床热误差的动态自适应加权最小二乘支持矢量机建模方法[J]. 机械工程学报,2009,45(3):178-182. LIN W Q, FU J Z, CHEN Z C. Modeling of NC machine tool thermal error based on adaptive best-fitting WLS-SVM[J]. Chinese Journal of Mechanical Engineering, 2009,45(3):178-182. (in Chinese)[10] 李绍成,左洪福,张艳彬. 油液在线监测系统中的磨粒识别[J]. 光学精密工程,2009,17(3):589-596. LI S C, ZUO H F, ZHANG Y B. Wear debris recognition for oil on-line monitoring system [J]. Opt. Precision Eng., 2009,17(3):589-596. (in Chinese)

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Related Institution

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Key Laboratory of Luminescence and Optical Information, Beijing Jiaotong University, Beijing 100044,China

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