arXiv:2606.20651eess.SYcs.AI2026-06

动态安全区让无人机群在狭窄空间中更密集、更高效地飞行。

Distributed Model Predictive Control with Adaptive Safety Zones for Multi-Fleet Drone Operations

论文配图:Distributed Model Predictive Control with Adaptive Safety Zones for Multi-Fleet Drone Operations
图 1 · 摘自论文原文
  • 用与速度相关的动态安全区替代固定半径,提升空间利用率。
  • 仿真显示可容纳无人机数量翻倍,通过窄道时间减少25%。
  • 适合复杂环境下的多类型无人机编队协同飞行任务。

在仓库、巡检通道和城市配送路线等空间受限环境中,高密度的自主无人机群需共享有限空域并确保安全。现有方法依赖为最坏情况速度设计的固定安全区域,导致在拥堵场景下浪费空域。本文提出一种基于制动距离自适应调整的安全球,低速时紧缩,高速时扩展。开发了集中式模型预测控制(MPC)和分布式MPC(DMPC),每架无人机根据感知到的邻近机进行本地优化,兼容非协作异构机群。证明了在最小半径下的几何堆积极限内可行性,建立了在适应参数、无人机密度和预测时长满足条件下的李雅普诺夫稳定性,并通过收缩条件将中心化稳定性保证推广至分布式场景。进一步推导了改进的球体堆积容量边界及窄道通过的吞吐量最优速度。仿真表明,该自适应框架在固定半径方法失效时仍可行:可容纳无人机数约翻倍,窄道通行时间减少约25%,并能通过静态安全区无法通过的狭小开口。集中式版本实现更高理论容量,分布式版本则在相同安全保证下更贴近真实混合机群部署需求。

原文摘要 · Abstract (English)

Autonomous drone swarms in space-constrained environments such as warehouses, inspection corridors, and urban delivery routes must share limited airspace safely at high vehicle density. Existing approaches rely on fixed safety zones sized for worst-case velocity, which wastes airspace in congested scenarios. We replace the fixed radius with an adaptive, speed-dependent safety sphere whose size scales with braking distance: tight at low speeds, expanded at high speeds. We develop both a centralized model predictive control (MPC) formulation and a distributed MPC (DMPC) in which each drone optimizes locally from detected neighbors, accommodating mixed fleets with non-cooperative agents. We prove feasibility up to the geometric packing limit evaluated at the minimum radius, establish Lyapunov stability under sufficient conditions on the adaptation parameter, drone density, and prediction horizon, and extend these guarantees to the distributed setting via a contraction condition that preserves the centralized stability margins. We further derive modified sphere-packing capacity bounds and a throughput-optimal crossing speed for narrow passages. Simulations confirm that the adaptive framework remains feasible where fixed-radius methods fail: it roughly doubles the admissible drone count, reduces traversal time through constrained passages by about 25 percent, and enables passage through openings impassable to static safety zones. The centralized variant realizes a larger fraction of the theoretical capacity, while the distributed variant offers a more realistic deployment model for mixed-fleet operations under the same safety guarantees.

无人机群路径规划安全控制分布式优化

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