arXiv:2607.19708cs.ROcs.SY2026-07

提出空中交互中持续接触下的全驱动判定新标准,确保稳定与操控余量。

Contact-Persistent Full Actuation for Aerial Physical Interaction

论文配图:Contact-Persistent Full Actuation for Aerial Physical Interaction
图 1 · 摘自论文原文
  • 基于力矩多面体定义任务力和剩余驱动力的可达范围
  • 证明持续接触时全驱动等价于任务力在可行域内部
  • 适用于多旋翼无人机的接触控制安全评估

全驱动无人飞行器通常通过控制分配矩阵的秩条件或自由飞行跟踪性能来认证。但在持续接触场景下,此认证可能不完整。接触过程中,部分可用力矩被交互任务消耗,仅剩余力矩可用于稳定、抗干扰和机动。本文提出接触持续全驱动的控制理论框架,结合 $\R^{3} imes ext{SO}(3)$ 刚体模型与依赖机体构型的力矩映射,涵盖固定倾角、可变倾角、同轴及过驱动多旋翼结构。定义了受执行器限制的可行力矩集、任务加载下的剩余力矩集,以及增强传统秩判据的剩余能力裕度。主要结论表明:接触持续全驱动等价于任务力在受限可行力矩多面体内部,且剩余能力半径恰好等于到多面体边界的距离。进一步提出符号化剩余裕度证书、最大化松弛的分配证书,以及可作为裕度感知安全滤波器的鲁棒可实现条件。对抽象倾斜六旋翼的数值验证显示,仅满足满行秩并不保证接触操作可行性。中等倾角可维持推挤过程中的剩余能力,而小倾角或过大倾角因侧向力不足或悬停裕度损失而失效。

原文摘要 · Abstract (English)

Fully actuated unmanned aerial vehicles (UAVs) are usually certified through rank conditions on a control-allocation matrix or through free-flight tracking performance. For aerial physical interaction, this certification may be incomplete. During sustained contact, part of the available wrench is consumed by the interaction task, and only the residual wrench remains available for stabilization, disturbance rejection, and maneuvering. This paper introduces a control-theoretic framework for \emph{contact-persistent full actuation}. A rigid-body model on $\R^{3}\times\SO\left(3\right)$ is combined with a morphology-dependent wrench map that captures fixed-tilt, variable-tilt, coaxial, and overactuated multirotor architectures. We define feasible wrench sets under actuator limits, residual wrench sets under task loading, and residual authority margins that strengthen the usual rank-based notion of full actuation. The main result shows that contact-persistent full actuation is equivalent to interiority of the task wrench in the constrained feasible wrench polytope, and that the residual authority radius is exactly the distance to the polytope boundary. We further introduce a signed residual-margin certificate for infeasible and boundary cases, a slack-maximizing allocation certificate, and a robust implementability condition that can be used as a margin-aware safety filter. Numerical evaluation on an abstract tilted hexarotor shows that full row rank alone does not imply feasible contact operation. Intermediate tilt angles preserve residual authority during pushing, whereas small or excessive tilts fail because of lateral-force deficiency or hover-margin loss.

无人机接触控制多旋翼鲁棒性

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