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arXiv 2603.14656cs.RO
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无关坐标系的机器人模型识别

Coordinate-Independent Robot Model Identification

Yanhao Yang, Ross L. Hatton

AI总结:

本文提出一种不依赖坐标系的机器人模型识别方法,通过双度量诱导的系统黎曼度量对逆动力学残差进行加权,消除坐标偏倚,提高识别精度。

摘要:

机器人模型识别通常通过最小二乘回归逆动力学进行,但现有方法直接测量坐标力空间残差,因此依赖所选坐标图表、单位和缩放。本文提出一种不依赖坐标的识别方法,通过系统黎曼度量诱导的双度量对逆动力学残差进行加权。利用力-速度向量-共变元对偶性,双度量为广义力提供物理意义的归一化,将坐标残差拉回环境机械空间,消除坐标诱导偏置。所得目标通过仿射度量和Schur补重构保持凸性,并与物理一致性约束和几何正则化兼容。在惯性主导的Crazyflie-pendulum系统和阻力主导的LandSalp机器人实验中,低数据和高数据设置下识别精度均有提升,尤其在形状坐标上。

英文摘要:

Robot model identification is commonly performed by least-squares regression on inverse dynamics, but existing formulations measure residuals directly in coordinate force space and therefore depend on the chosen coordinate chart, units, and scaling. This paper proposes a coordinate-independent identification method that weights inverse-dynamics residuals by the dual metric induced by the system Riemannian metric. Using the force--velocity vector--covector duality, the dual metric provides a physically meaningful normalization of generalized forces, pulling coordinate residuals back into the ambient mechanical space and eliminating coordinate-induced bias. The resulting objective remains convex through an affine-metric and Schur-complement reformulation, and is compatible with physical-consistency constraints and geometric regularization. Experiments on an inertia-dominated Crazyflie--pendulum system and a drag-dominated LandSalp robot show improved identification accuracy, especially on shape coordinates, on both downsampled and full datasets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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