arXiv:2607.14781cs.RO2026-07中稿 · 2026 IEEE Internat…

多机器人协同到达控制,兼顾曲率与恒定速度约束。

Curvature-Constrained and Constant-Speed Distributed Simultaneous Arrival Control for Multi-Robot Systems

论文配图:Curvature-Constrained and Constant-Speed Distributed Simultaneous Arrival Control for Multi-Robot Systems
图 1 · 摘自论文原文
  • 基于最大共识协议设计分层切换控制,引入虚拟时间变量
  • 在满足曲率与恒速条件下实现同步到达,理论最优可达
  • 适合固定翼无人机等对运动有严格约束的系统

多移动机器人同时抵达目标点对协作任务(如协同围捕、灾后救援、环境监测)至关重要。当路径曲率受限且各机器人需保持恒定速度(可不同),同时控制律需分布式时,问题更加复杂,这在固定翼无人机系统中尤为典型。为此,本文提出一种基于最大共识协议的分布式切换控制方法。通过利用杜宾路径的几何特性与优化原理,引入虚拟时间变量,并设计融合最优控制与饱和比例控制的混合控制律。在该控制律下,各机器人趋向于其邻居中的最大虚拟时间,从而在一定温和条件下实现同步到达。此外,我们证明了在某些情况下该方法可达到理论最优到达时间。该方法具有可扩展性、实时性及低通信开销,通过大量仿真与实验验证了其有效性与鲁棒性。

原文摘要 · Abstract (English)

The simultaneous arrival of multiple mobile robots at a target point is crucial for cooperation tasks such as cooperative encirclement, disaster relief, and environmental monitoring. Although the simultaneous arrival problem itself is already complex, the problem becomes more challenging when there are constraints on the robot trajectory curvatures and the speeds are required to be constant (possibly different for different robots), and the control law for robots needs to be distributed. These constraints are typical for a multi-robot system consisting of, e.g., fixed-wing UAVs. To address this challenge, this paper proposes a distributed switching control method based on the maximum consensus protocol. By exploiting the geometric properties of Dubins paths along with optimization principles, a virtual time variable is introduced, and a hybrid control law that combines optimal control with saturated proportional control is designed. Under the proposed control law, each robot is driven to approach the maximum virtual time among its neighbors, thereby achieving simultaneous arrival under some mild conditions. Furthermore, we prove that in certain cases the proposed method attains a theoretically optimal arrival time. The approach is scalable and real-time, with low communication overhead. Its effectiveness and robustness are validated through extensive simulations and experiments.

多机器人协同控制轨迹规划分布式

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