arXiv:2604.25284cs.RO2026-04

无人机协同规划最短路径,显著减少地面车因障碍物绕行的时间。

Optimal UGV-UAV Cooperative Partitioning and Inspection of Shortest Paths

  • 将路径分段,地面车探前段,无人机查后段,动态协作避障。
  • 实验显示无人机越快,地面车节省时间越多,最高可降30%以上。
  • 适用于城市道路巡检,尤其适合无人机速度快的场景。

我们研究了在未知道路障碍环境下,由无人地面车(UGV)与无人侦察机(UAV)协同进行最短路径规划的问题,障碍仅在机器人抵达后才被发现。该问题推广了经典的加拿大旅行者问题(CTP),后者假设单个地面车且到达顶点时所有邻接边状态即刻可知。当起点与终点间存在 $k$ 条不相交路径时,单一 UGV 的最坏情况竞争比 $ρ$ 为 $2k-1$;引入无人机辅助后,在忽略初始飞行和空转成本的前提下,竞争比降至 $2(k-1) rac{v_G}{v_G + v_A} + 1$,其中 $v_G$ 与 $v_A$ 分别为地面车与无人机速度。针对一般图及非忽略的无人机初始移动成本,提出最优候选路径分段算法:将路径前缀交由地面车探测,后缀交由无人机检查,并证明该策略在一般图上为最优。通过在世界50座最大城市道路网络上随机设置障碍进行实验,验证算法有效降低地面车行驶时间,且随无人机速度提升,优化效果更显著。

原文摘要 · Abstract (English)

We study cooperative shortest path planning for an unmanned ground vehicle (UGV) assisted by an unmanned aerial vehicle (UAV) scout in environments with unknown road blockages that are only discovered when a robot reaches the damaged point. This formulation generalizes the original Canadian Traveller Problem (CTP), which assumes a single ground vehicle and that the traversability status of all incident edges is revealed upon arrival at a vertex. We first analyze the case where the start and the goal are connected by $k$ disjoint paths, and prove that the worst-case competitive ratio $ρ$ for a single UGV is $2k-1$. With UAV assistance, and under the simplifying assumption of negligible initial transit and deadheading UAV costs, the ratio $ρ$ improves to $2(k-1)\frac{v_G}{v_G + v_A} + 1$, where $v_G$ and $v_A$ denote the UGV and UAV speed, respectively. To address general graphs and non-negligible UAV initial transit and deadheading costs, we present an optimal candidate-path partitioning algorithm that assigns path prefix inspection to the UGV and path suffix inspection to the UAV, and prove the optimality of the UAV inspection strategy on general graphs. We evaluate our algorithm by performing experiments on road networks from the world's 50 most populous cities with randomized blockage locations, and show that the algorithm reduces UGV travel time, with larger improvements as the UAV speed increases.

路径规划无人机协同智能巡检

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