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融合物理先验与渐进解耦网络的机器人精度标定

何云凯 马超 李澜 朱莉娅

光学精密工程2026,Vol.34Issue(7):1128-1141,14.
光学精密工程2026,Vol.34Issue(7):1128-1141,14.DOI:10.37188/OPE.20263407.1128

融合物理先验与渐进解耦网络的机器人精度标定

Robot precision calibration based on fusion of physical prior and progressive decoupling network

何云凯 1马超 1李澜 2朱莉娅1

作者信息

  • 1. 南京师范大学 电气与自动化工程学院,江苏 南京 210023||南京师范大学 江苏省三维打印装备与制造重点实验室,江苏 南京 210023
  • 2. 南京鼓楼医院 运动医学与成人重建外科,江苏 南京 210008
  • 折叠

摘要

Abstract

To overcome the limitations of traditional geometric calibration in compensating for non-geo-metric errors,as well as the poor interpretability and susceptibility to gradient competition in multi-dimen-sional heterogeneous error fields inherent in purely data-driven black-box models,an absolute accuracy cali-bration method integrating physical priors with a progressively decoupled residual network is proposed.First,a differentiable kinematic grey-box model based on Denavit-Hartenberg(DH)parameters is con-structed as an explicit physical framework to compute the baseline theoretical pose.Second,high-dimen-sional sine-cosine encodings and second-order multiplicative combinatorial features are introduced to en-hance the representation of periodic nonlinear errors.A dual-branch residual network is then employed to independently predict position and orientation residuals,incorporating a differentiable singular value de-composition(SVD)orthogonalization layer to strictly enforce SO(3)manifold constraints.Furthermore,a stage-wise parameter freezing strategy is designed to enable progressive decoupled training,effectively mitigating optimization conflicts arising from the differing dimensionalities of position and orientation.Ex-perimental results on a Staubli TX2-90L demonstrate that the average position error is reduced from 0.377 mm to 0.047 mm.Compared with support vector regression(SVR)and backpropagation(BP)methods,positioning accuracy is improved by 26.3%and 49.9%,respectively.The proposed method achieves a fa-vorable balance between high precision and interpretability,indicating substantial potential for engineering applications such as in situ bioprinting.

关键词

多自由度机械臂/运动学标定/非几何误差/残差网络

Key words

multi-degree-of-freedom robotic arm/kinematic calibration/non-geometric error/residual network

分类

信息技术与安全科学

引用本文复制引用

何云凯,马超,李澜,朱莉娅..融合物理先验与渐进解耦网络的机器人精度标定[J].光学精密工程,2026,34(7):1128-1141,14.

基金项目

国家自然科学基金面上项目(No.32171358) (No.32171358)

国家自然科学基金优秀青年科学基金资助项目(No.32242043) (No.32242043)

江苏省自然科学基金攀登项目(No.BK20250002) (No.BK20250002)

南京市卫生科技发展专项资金项目(No.JQX23002) (No.JQX23002)

光学精密工程

1004-924X

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