arXiv:2606.09640cs.RO2026-06被引 6

提出结构保持的残差学习框架,提升机器人动力学模型在变载荷下的准确性。

Physics-Aware Sparse Learning and Selective Online Adaptation for Euler-Lagrange Robot Dynamics

论文配图:Physics-Aware Sparse Learning and Selective Online Adaptation for Euler-Lagrange Robot Dynamics
图 1 · 摘自论文原文
  • 将动力学误差分解为惯性修正、科里奥利项和广义力残差,保持系统物理结构。
  • 在多类机器人平台验证,显著改善耦合时变条件下的轨迹跟踪性能。
  • 仅对敏感部分在线自适应,适合实际部署中的模型预测控制场景。

精确的动力学模型对基于模型的机器人控制至关重要,但名义上的欧拉-拉格朗日模型在负载变化、未建模耦合、摩擦、空气动力效应及运行条件改变时往往失准。现有基于学习的修正方法通常引入单一加性残差,但未能保留欧拉-拉格朗日系统的内部机械结构,导致模型失去对称性、正定性以及惯性与速度相关项间的耦合关系,可能引发物理不一致的预测,降低嵌入式控制器的可靠性。本文提出一种结构保持的残差学习框架,将模型偏差分解为惯性修正、对应的诱导科里奥利项和广义力残差。机械部分在物理约束下学习,扰动敏感部分通过稀疏历史依赖的潜在交互模型表示,并使用贝叶斯线性回归实现在线自适应。该分离机制既保留了关键机械结构,又将适应范围限制在受条件变化影响最大的部分。在移动、飞行和操作臂等多种机器人平台上进行实验,结果表明该方法在耦合且时变的动力学条件下显著提升了动力学预测精度与轨迹跟踪能力。这些成果凸显了结构化残差建模、紧凑潜在交互选择与选择性在线适应相结合在真实世界模型预测控制中的价值。

原文摘要 · Abstract (English)

Accurate dynamics models are essential for model-based robotic control, yet nominal Euler--Lagrange models often become inaccurate in the presence of payload variation, unmodeled coupling, friction, aerodynamic effects, and changing operating conditions. Most learning-based correction methods improve prediction accuracy by introducing a single additive residual, but do not preserve the internal mechanical structure of Euler--Lagrange systems. This leads to models that do not preserve symmetry, positive-definiteness, or the coupling between inertia and velocity-dependent terms, which can result in physically inconsistent predictions and reduced reliability when embedded in model-based controllers. We propose a structure-preserving residual learning framework that decomposes model mismatch into an inertia correction, the corresponding induced Coriolis term, and a generalized-force residual. The mechanical component is learned under physical constraints, while the disturbance-sensitive component is represented through a sparse history-dependent latent interaction model and adapted online using Bayesian linear regression. This separation preserves key mechanical structure while restricting adaptation to the part of the dynamics most affected by changing conditions. Experiments across multiple robotic platforms, including mobile, aerial, and manipulator systems, show that the proposed method improves dynamics prediction and trajectory tracking under coupled and time-varying dynamics. These results highlight the value of combining structured residual modeling, compact latent interaction selection, and selective online adaptation for real-world model-based control.

机器人动力学结构保持在线适应模型预测控制

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