arXiv:2606.14606cs.ROcs.SY2026-06

用统一模型实现灵巧手高精度、安全的接触控制。

Interaction Dynamics for Dexterous Manipulation

论文配图:Interaction Dynamics for Dexterous Manipulation
图 1 · 摘自论文原文
  • 基于恒定加速度双积分结构,统一处理各类驱动方式的交互动态。
  • 仿真中定位误差达0.6毫弧度,稳态误差仅0.1毫弧度,优于传统阻抗控制1500倍。
  • 适合需要高精度与安全接触的灵巧操作场景,如机器人抓取与装配。

灵巧操作本质上是交互动力学问题:手部需精准跟踪指关节轨迹,调节与物体间的接触力,遵守执行器和安全限制,并在持续接触下保持可预测性——这些目标对固定增益控制器而言相互冲突。通过关节刚度 $K_d$ 产生的持续接触力矩 $τ_{ ext{ext}}$ 会引入结构性偏差 $e_ ty = τ_{ ext{ext}}/K_d$,因此提高刚度以提升精度会牺牲接触安全性,而降低刚度则天生存在不足。本文通过常量 $A_d$ 双积分器主干,显式建模并实现无驱动依赖的交互动力学,沿用物理人机交互(pHRI)中已确立的无偏架构,并保留其在简化残差动力学上的建模假设。代数前馈将腱传动(液压、缆绳、气动、扭线或串接弹性)统一为常系数双积分器,使二次规划(QP)逆解可离线计算,且在接触力(ISO/TS 15066)、执行器与加速度变化率约束下,10步滚动时域QP可实现500 Hz运行。编码器仅输入的增强型卡尔曼扰动状态,在名义可检测情况下使稳态误差归零。仿真中,液压驱动手指(作为实例)加入压力与空化约束后,在1.5 Nm接触力下达到0.6毫弧度均方根误差、0.1毫弧度稳态误差、7.3毫弧度峰值偏移,分别较经典阻抗控制提升153倍、1500倍和21倍。首次动作刚度由18提升至323 Nm/rad(随更新速率),独立验证成立;该架构可扩展至16自由度的LEAP手MuJoCo模型,在2.5 N抓握扰动下0.7秒内恢复。

原文摘要 · Abstract (English)

Dexterous manipulation is fundamentally a problem of interaction dynamics: the hand must track precise finger trajectories, regulate the contact force exchanged with grasped objects, respect actuation and safety limits, and remain predictable when contact persists -- objectives in tension for any fixed-gain controller. A sustained contact torque $τ_{\text{ext}}$ through a joint stiffness $K_d$ produces the structural bias $e_\infty=τ_{\text{ext}}/K_d$, so stiffening for accuracy sacrifices contact safety while softening yields by design. We make these interaction dynamics explicit and actuator-agnostic through a constant-$A_d$ double-integrator backbone, instantiating the offset-free architecture established for physical human-robot interaction (pHRI) and preserving its modeling assumptions on the reduced residual dynamics. An algebraic feedforward reduces the tendon transmission -- hydraulic, cable, pneumatic, twisted-string, or series-elastic -- to a constant-coefficient double integrator, so the QP cost inverse is precomputed offline and a 10-step receding-horizon QP runs at 500\,Hz under contact-force (ISO/TS 15066), actuation, and jerk constraints. An encoder-only augmented-Kalman disturbance state drives steady-state error to zero under constant contact loads in the nominal detectable case. In simulation, a hydraulically actuated finger -- the worked example, adding pressure and cavitation constraints -- attains 0.6\,mrad RMS, 0.1\,mrad steady-state, and 7.3\,mrad peak deflection under 1.5\,Nm contact: 153$\times$, 1500$\times$, and 21$\times$ better than classical impedance. The realized first-move stiffness (18$\to$323\,Nm/rad with update rate) is independently verified, and the architecture scales to a 16-DOF LEAP Hand MuJoCo model, recovering from 2.5\,N grasp disturbances within 0.7\,s.

灵巧操作交互动力学机器人控制双积分器

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