为多旋翼无人机设计动态路径规划,兼顾飞行时间与奖励最大化。
Dynamical Vehicle Orienteering Problem for Multi-Rotor Unmanned Aerial Vehicles
- 构建考虑动力学约束的动态车辆寻径模型,融合最小时间轨迹优化。
- 相比现有方法,路径奖励提升最高达37%,且在真实无人机上验证有效。
- 适合需要高精度飞行规划的无人机任务,如巡检、救援等场景。
本文提出动态车辆寻径问题(DVOP),作为经典寻径问题(OP)的扩展。传统OP在有限旅行预算下最大化空间目标奖励,而DVOP进一步考虑外部力和飞行器自身作用力的影响。研究聚焦于多旋翼无人机飞行规划,采用三维质点模型(PMM),受限于最大速度与加速度幅值及重力加速度,旅行预算以最大飞行时间表示。由于奖励最大化与时间最优轨迹规划耦合,该问题无法通过简化图模型精确求解。为此提出两种方法:基于非线性规划(NLP)与混合整数线性规划(MILP)的分支定界法(BnB),提供高质量解;以及使用有限推力分解的大型邻域搜索(LNS)元启发式算法,用于快速生成初始奖励边界并处理大规模难解实例。BnB利用目标三元组的最小时间轨迹基元构建新型MILP旅行成本模型,获得紧致奖励上界;LNS则快速生成高质量的PMM轨迹。基准测试显示,相较现有运动学寻径问题最优解,奖励提升最高达37%;真实多旋翼无人机部署验证了所提轨迹的有效性。
原文摘要 · Abstract (English)
This paper introduces the Dynamical Vehicle Orienteering Problem (DVOP), a generalization of the Orienteering Problem (OP). The OP maximizes the reward collected from spatial targets under a limited travel budget; the DVOP extends it by accounting for both external and vehicle-actuated forces. We study the DVOP in the context of multi-rotor Unmanned Aerial Vehicle (UAV) flight planning, using a three-dimensional Point-Mass Model (PMM) constrained by maximum velocity and acceleration magnitudes and subject to gravitational acceleration, with the travel budget expressed as a maximum flight time. Because the DVOP couples reward maximization with time-optimal trajectory planning, it cannot be formulated as a simple graph problem and solved exactly without relaxing or under-actuating the vehicle dynamics. We therefore propose two solution approaches: a Branch-and-Bound (BnB) procedure that combines Non-Linear Programming (NLP) and Mixed-Integer Linear Programming (MILP) to provide high-quality solutions, and a Large Neighborhood Search (LNS) metaheuristic that supplies an initial reward bound and scales to instances intractable for the BnB. The BnB relies on a novel MILP formulation of travel costs based on minimum-time trajectory primitives through target triplets, yielding a tight reward upper bound, while the LNS uses limited thrust decomposition to compute fast, high-quality PMM trajectories. Experiments on benchmark instances show improvements of up to 37 % over state-of-the-art solutions for the Kinematic Orienteering Problem, and a real-world deployment on a multi-rotor UAV verifies the proposed PMM solution trajectories.
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