arXiv:2511.10079cs.ROcs.LG2025-11

用可解释的神经网络建模机器人静摩擦,精度超95%。

Physics-informed Machine Learning for Static Friction Modeling in Robotic Manipulators Based on Kolmogorov-Arnold Networks

  • 基于KAN网络,融合样条激活与符号回归,自动提取物理表达式。
  • 在真实工业机械臂数据上,决定系数高于0.95,噪声下仍稳定。
  • 适合需要可解释性高精度摩擦建模的机器人控制场景。

摩擦建模对实现机器人操作系统的高精度运动控制至关重要。传统静摩擦模型(如Stribeck模型)因形式简单而广泛应用,但通常需预设函数假设,在面对未知函数结构时面临挑战。本文提出一种基于柯尔莫哥洛夫-阿诺德网络(KAN)的物理启发式机器学习方法,用于机器人关节的静摩擦建模。该方法结合样条激活函数与符号回归机制,通过剪枝与属性评分实现模型简化和物理表达式提取,同时保持高预测精度与可解释性。我们首先验证了该方法在已知函数模型下准确识别关键参数的能力,进一步展示了其在未知函数结构和含噪数据下的鲁棒性与泛化能力。在合成数据及六自由度工业机械臂实测摩擦数据上的实验表明,该方法在多种任务中均达到决定系数大于0.95,并成功提取出简洁且具有物理意义的摩擦表达式。本研究为可解释、数据驱动的机器人摩擦建模提供了新思路,具备良好的工程应用前景。

原文摘要 · Abstract (English)

Friction modeling plays a crucial role in achieving high-precision motion control in robotic operating systems. Traditional static friction models (such as the Stribeck model) are widely used due to their simple forms; however, they typically require predefined functional assumptions, which poses significant challenges when dealing with unknown functional structures. To address this issue, this paper proposes a physics-inspired machine learning approach based on the Kolmogorov Arnold Network (KAN) for static friction modeling of robotic joints. The method integrates spline activation functions with a symbolic regression mechanism, enabling model simplification and physical expression extraction through pruning and attribute scoring, while maintaining both high prediction accuracy and interpretability. We first validate the method's capability to accurately identify key parameters under known functional models, and further demonstrate its robustness and generalization ability under conditions with unknown functional structures and noisy data. Experiments conducted on both synthetic data and real friction data collected from a six-degree-of-freedom industrial manipulator show that the proposed method achieves a coefficient of determination greater than 0.95 across various tasks and successfully extracts concise and physically meaningful friction expressions. This study provides a new perspective for interpretable and data-driven robotic friction modeling with promising engineering applicability.

摩擦建模可解释AI机器人控制KAN网络

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