arXiv:2605.31436cs.RO2026-05

为力控冗余机器人设计了考虑执行器特性的逆运动学方法,提升轨迹实现精度。

Actuator-Aware Inverse Kinematics with Joint-Limit Admissibility for Torque-Controlled Redundant Robots

论文配图:Actuator-Aware Inverse Kinematics with Joint-Limit Admissibility for Torque-Controlled Redundant Robots
图 1 · 摘自论文原文
  • 以关节速度为决策变量,构建凸二次规划模型,融合任务与极限约束。
  • 实验显示关节限位推力降低,所需速度更安全,轨迹跟踪效果更好。
  • 适用于上肢外骨骼等力控冗余系统,无需修改下游控制器。

本文提出一种面向力控冗余机器人的执行器感知逆运动学方法,考虑关节限位约束。在该架构中,逆运动学输出并非单纯的运动学关节速度指令,而是供给下游力矩级控制器的所需关节速度。因此,小的任务残差未必带来实际运动改善。所提方法将问题建模为凸二次规划,决策变量为关节层所需速度。通过类似控制屏障函数的约束,确保参考级关节限位可容许性;任务方程则通过惩罚松弛变量处理。冗余通过兼顾历史命令一致性和执行器力矩容量加权的控制器兼容目标来解析。该方法独立于具体力矩控制器,可作为末端轨迹与冗余机器人控制器之间的中间逆运动学层。在虚拟分解控制的七自由度上肢外骨骼上进行实验,对比标准逆运动学基线和约束任务保持二次规划基线。结果表明:关节约束推力更低,所需速度始终在可接受范围内,且轨迹实现性能更优,未修改下游控制器。

原文摘要 · Abstract (English)

This paper proposes actuator-aware inverse kinematics for torque-controlled redundant robots under joint-limit constraints. In the considered architecture, the inverse-kinematic output is not merely a purely kinematic joint-velocity command; it is the required joint velocity supplied to a downstream torque-level controller. Therefore, a small commanded task residual may not necessarily improve realized motion. The proposed method formulates a convex quadratic programming problem whose decision variable is the joint-level required velocity. Control barrier function style bounds impose reference-level joint-limit admissibility, while the task equation is handled through a penalized slack variable. Redundancy is resolved using a controller-compatibility objective that accounts for previous-command consistency and actuator torque-capacity weighting. The method is independent of the particular torque-level controller and can serve as an intermediate IK layer between an endpoint trajectory and a redundant robot controller. Experiments on a virtual-decomposition-controlled seven-degree-of-freedom upper-limb exoskeleton compare the method with standard inverse-kinematic baselines and a constrained task-preserving quadratic programming baseline. The results indicate lower limit-pushing commands, bounded admissible required velocities, and improved realized task behavior in the tested trajectory, without modifying the downstream controller.

逆运动学力控机器人冗余控制凸优化

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