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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OA

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

中文摘要英文摘要

针对多自由度机械臂传统几何标定方法存在难以补偿非几何误差,纯数据驱动黑箱模型物理可解释性差且易受多维异构误差场梯度竞争影响的问题,提出一种融合物理先验与渐进式解耦残差网络的绝对精度标定方法.首先,构建基于DH参数的可微运动学灰箱模型作为显式物理骨架,用于计算基准理论位姿.其次,引入高维正余弦及二阶乘法组合编码特征,增强对周期性非线性误差的表征能力.然后,利用双分支残差网络分别独立预测位置与姿态残差,并设计可微SVD正交化层以严格满足SO(3)流形几何约束.最后,提出分阶段冻结参数的渐进式解耦训练策略,从机理上解决了位置与姿态不同量纲导致的优化冲突.实验结果表明,该方法使 Staubli TX2-90L平均位置误差从 0.377 mm降至0.047 mm;相较于SVR及BP算法,定位精度分别提升26.3%和49.9%.该方法兼具高精度与可解释性,在原位生物3D打印等领域具有良好的工程应用价值.

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.

何云凯;马超;李澜;朱莉娅

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南京鼓楼医院 运动医学与成人重建外科,江苏 南京 210008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

信息技术与安全科学

多自由度机械臂运动学标定非几何误差残差网络

multi-degree-of-freedom robotic armkinematic calibrationnon-geometric errorresidual network

《光学精密工程》 2026 (7)

1128-1141,14

国家自然科学基金面上项目(No.32171358)国家自然科学基金优秀青年科学基金资助项目(No.32242043)江苏省自然科学基金攀登项目(No.BK20250002)南京市卫生科技发展专项资金项目(No.JQX23002)

10.37188/OPE.20263407.1128

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