考虑摩擦不确定性的抓取评估方法,提升抓取鲁棒性
FIRMGrasp: A Friction-Informed Risk Margin for Robust Grasp Synthesis

- 用条件风险价值衡量摩擦不确定性下的抓取力闭合裕度
- 53%高分抓取在摩擦不利时失效,新指标能识别这些脆弱抓取
- 适合需要可靠抓取的机器人操作任务,尤其面对未知摩擦场景
传统抓取质量评估依赖单一摩擦系数,无法判断抓取在不同摩擦值下是否保持力闭合。本文提出FIRMGrasp,通过条件风险价值(CVaR)建模摩擦不确定性,在置信度β下评估最不利摩擦尾部的平均力闭合裕度,得到风险调整后的裕度ε^(β),即抓取力矩空间的内切球半径。证明ε^(β)随β单调递增且对抓取参数可微,任何ε^(β) > 0的抓取以至少β的概率实现力闭合。在1,599次LEAP手和Allegro手抓取实验中,ε^(β)识别出大量名义上高分但对摩擦敏感的抓取;53%名义力闭合的抓取在不利摩擦尾部失去闭合。名义裕度在摇晃测试和拾取测试中仅分别正确排序成功/失败抓取概率为0.53和0.67,而ε^(β)提升至0.63和0.78。当摩擦系数为0.2时,70% ε^(β) > 0的抓取可承受模拟提升与侧拉,而名义正裕度但ε^(β) ≤ 0的抓取仅有25%成功。还为RealHand L6和LEAP Hand合成ε^(β) > 0的抓取,均在不利摩擦提升中保持物体稳定。在MuJoCo仿真中,95%接触且ε^(β) > 0的RealHand L6抓取在相同不利摩擦条件下仍能持物。
原文摘要 · Abstract (English)
Classical grasp quality metrics assume one deterministic friction coefficient and therefore cannot assess whether a grasp maintains force closure across plausible friction values. We present FIRMGrasp, a family of grasp quality metrics that incorporates friction uncertainty through Conditional Value-at-Risk (CVaR). At confidence level $β$, we evaluate the force-closure margin at the mean of the adverse friction tail. This evaluation defines the risk-adjusted margin $\varepsilon^{(β)}$, the inscribed-ball radius of the corresponding grasp wrench space. We prove that $\varepsilon^{(β)}$ varies monotonically with $β$, remains differentiable in the grasp parameters, and certifies that any grasp with $\varepsilon^{(β)} > 0$ achieves force closure with probability at least $β$. Across 1,599 LEAP Hand and Allegro Hand grasps, $\varepsilon^{(β)}$ identifies friction-sensitive grasps that receive high nominal Ferrari-Canny scores, and 53% of the nominally force-closed grasps lose closure in the adverse friction tail. The nominal margin ranks a successful grasp above a failed grasp with probabilities of only 0.53 in the shake test and 0.67 in the pick test, whereas $\varepsilon^{(β)}$ achieves 0.63 and 0.78. At an adverse friction coefficient of 0.2, 70% of grasps with positive $\varepsilon^{(β)}$ withstand a simulated lift and lateral pull, compared with 25% of grasps with positive nominal margin and nonpositive $\varepsilon^{(β)}$. We also synthesize grasps with positive $\varepsilon^{(β)}$ for the RealHand L6 and LEAP Hand, both of which retain the object during adverse-friction lifts. In MuJoCo trials with the RealHand L6, 95% of grasps that establish contact and have positive $\varepsilon^{(β)}$ retain the object at the same adverse friction coefficient.
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