融合时间紧迫度解耦与自适应序列凸优化的多无人机协同轨迹规划
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西安工业大学

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TP18,V279

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国家自然科学基金


Multi-UAV cooperative trajectory planning via time-urgency decoupling and adaptive sequential convex programming
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National Natural Science Foundation of China

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    摘要:

    多无人机协同轨迹规划问题具有高维非凸及机间强耦合特性,导致现有方法易出现轨迹迭代振荡,难以准确获得多无人机最优的规划轨迹。针对该问题,提出一种融合时间紧迫度解耦与自适应序列凸优化的多无人机协同轨迹规划方法。构建“协同解耦-轨迹求解”双层规划架构。在协同层,采用时间紧迫度非对称解耦策略动态生成优先级序列,将高维强耦合多无人机协同轨迹规划问题分解为多个单机凸规划子问题;在求解层,通过虚拟走廊约束稀疏化重构凸规划子问题中有效约束集,采用符号距离场对机间避碰与威胁约束进行凸近似。为了降低凸近似误差,将终端及避障约束转为目标函数中惩罚项,同时利用自适应信赖域调节参考轨迹与优化轨迹间的偏差量,最终实现多无人机最优协同轨迹规划。仿真结果表明,相比于传统SCP方法和ISCP方法,所提方法具有较高的轨迹规划质量和规划效率。

    Abstract:

    Owing to the high-dimensional non-convexity and strong coupling among UAVs, existing approaches to this problem are prone to iterative oscillations, making it difficult to accurately obtain the optimal trajectories. To address this issue, this paper proposes a cooperative trajectory planning method that integrates time-urgency asymmetric decoupling with adaptive sequential convex programming. A bi-level planning architecture that combine the cooperative decouple and solve trajectory is constructed. At the cooperative level, an asymmetrical decoupling strategy based on time urgency is adopted to dynamically generate priority sequences, thereby decomposing the high-dimensional strong coupled UAV trajectory planning problem into several single-UAV convex programming subproblems. At the solution level, a virtual corridor is introduced to sparsify collision constraints and reconstruct the effective constraint set within these convex programming subproblems. The signed distance field is employed to convexify the inter-UAV collision and threat constraints. To mitigate the convex approximation error, the terminal and collision constraints are transformed into penalty terms in the objective function. Meanwhile, an adaptive trust-region adjusts the deviation between the reference and optimized trajectories, which enables the achievement of optimal cooperative trajectory planning for multiple UAVs. Simulation results demonstrate that the proposed algorithm improves trajectory planning quality and efficiency compared to the conventional SCP and improved SCP methods.

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  • 收稿日期:2026-03-19
  • 最后修改日期:2026-09-26
  • 录用日期:2026-09-29
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