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摘要: 针对无人机在密集障碍物环境及多重威胁场景下执行任务时,传统路径规划方法易陷入局部最优、导致航迹安全性不足且任务代价波动较大的问题,提出一种融合多策略的无人机路径规划方法.在路径生成阶段,引入基于Sobol序列的初始化机制,以提升候选航迹在三维空间中的分布均匀性,从而增强无人机对复杂环境的全局感知能力;在飞行决策过程中,构建自适应调节机制,使无人机能够依据环境变化与任务进展动态调整搜索行为,提高在多威胁干扰下的稳定性与适应性.同时,借鉴群智能中的协同搜索思想,强化路径规划过程中全局探索与局部优化的协调能力,使无人机既能规避大范围风险区域,又能在局部复杂地形中精细调整飞行轨迹.此外,针对无人机在复杂空间中易出现路径集中、灵活性不足的问题,设计了空间分布式精英领导策略,通过引导生成多样化候选航迹,有效提升路径的安全冗余性与抗干扰能力,避免陷入单一路径依赖.最后,在典型测试函数及三维无人机飞行仿真环境中进行实验验证.结果表明,该方法在复杂场景下能够生成更加安全、稳定且高质量的飞行路径,显著提升无人机的任务执行能力与鲁棒性.Abstract: To address the problem that conventional path planning methods tend to become trapped in local optima when the UAV performs tasks in dense-obstacle environments and multi-threat scenarios, resulting in insufficient trajectory safety and large fluctuations in mission cost, a UAV path planning method integrating multiple strategies is proposed. During the path generation stage, a Sobol sequence-based initialization mechanism is introduced to improve the distribution uniformity of candidate trajectories in three-dimensional space, thereby enhancing the UAV's global awareness of complex environments; during the flight decision process, an adaptive adjustment mechanism is constructed to enable the UAV to dynamically adjust its search behavior according to environmental changes and task progress, thereby improving its stability and adaptability under multi-threat interference. Meanwhile, drawing on the concept of cooperative search in swarm intelligence, the coordination between global exploration and local optimization during path planning is strengthened, enabling the UAV both to avoid large-scale risk areas and to finely adjust its flight trajectory in locally complex terrain. Furthermore, to address the tendency of UAV trajectories to cluster and exhibit insufficient flexibility in complex spaces, a spatially distributed elite-leading strategy is designed to guide the generation of diverse candidate trajectories, effectively improving path safety redundancy and interference resistance while avoiding dependence on a single path. Finally, experimental validation is conducted using typical test functions and a three-dimensional UAV flight simulation environment. The results show that the method can generate safer, more stable, and higher-quality flight paths in complex scenarios, significantly improving the UAV's mission execution capability and robustness.
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表 1 不同初始化方法的中心化$ L_2 $差异度对比
Table 1 Comparison of $ {CD}_2 $ for different initialization methods
初始化方法 $ {CD}_2 $值 Sobol 序列 1.0611 伪随机序列 1.1546 拉丁超立方抽样 1.1139 Logistic 混沌映射 2.4314 表 2 模糊规则表
Table 2 Fuzzy rule table
$ R_t $\$ S_t $ S M L S VS S S M S M L L L L VL 表 3 基准测试通用超参数设置
Table 3 Benchmark general hyperparameter settings
参数名称 取值 种群规模 (N) 60 最大迭代次数 ($ T_{\max} $) 600 独立运行次数 300 测试函数维数 30 表 4 算法参数设置表
Table 4 Algorithm parameter settings
算法 参数 取值 EL-FHPSO 种群分配 $ N_{{\rm{PSO}}},\; N_{{\rm{ABC}}} $ 70%, 30% 初始权重 $ w_0,\; c_{1,\;0},\; c_{2,\;0} $ $ 0.8,\; 1,\; 1 $ 权重系数 $ \alpha,\; \beta $ $ 0.7,\; 0.3 $ MSIPSO[23] 惯性权重上下界 $ w_{\max},\; w_{\min} $ 0.9, 0.4 学习因子上下界 $ c_{\max},\; c_{\min} $ 2.5, 0.5 群体步长边界 $ [a_1,\;a_2],\; [b_1,\;b_2] $ $[0.2,\;0.4],\;$ $[0.4,\;0.8]$ 死锁停滞代数阈值 10 HT-PSO[27] 惯性权重 w $ 0.9 \sim 0.4 $ 加速系数 $ C_{i}B_{k},\; C_{i}G_{k} $ $ [0.5,\; 2.5] $ 函数参数 $ p,\; a,\; R $ $ 1,\; 0,\; 1.35 $ FWL-PSO[28] 初始权重及衰减率 $ w,\; \alpha_{{\rm{damp}}} $ 1, 0.98 学习因子 $ c_1,\; c_2 $ 1.5, 1.5 精英比例 p与迭代上限 $ N_f $ 0.05, 25 GEPSO[31] 惯性权重 w $ 0.9 \sim 0.4 $ 学习因子 $ c_1,\; c_2 $ $ 2 \sim 0.4 $ 引力初始常数 $ G_0 $ 20 衰减系数 α 5 PSO 惯性权重 w 0.8 学习因子 $ c_1,\; c_2 $ 1.2, 1.2 ABC 限制次数 50 加速系数 ϕ $ [-1,\; 1] $ 侦察蜂数量 30 观察蜂数量 30 GTO 迁移概率 p 0.03 参数 β 3 参数 w 0.8 表 5 基于CEC2017基准函数的数值实验详细对比
Table 5 Numerical experiments based on CEC2017 benchmark functions
函数 指标 EL-FHPSO HT-PSO GEPSO MSIPSO FWL-PSO PSO ABC GTO F1 最优值 2.38e + 03 2.56e + 03 4.30e + 04 5.11e + 04 6.80e + 04 3.25e + 07 2.22e + 07 2.14e + 03 最差值 8.50e + 03 1.13e + 04 3.24e + 05 2.79e + 05 3.10e + 05 1.58e + 08 2.01e + 08 1.83e + 04 平均值 2.45e + 03 4.35e + 03 1.25e + 05 1.09e + 05 1.20e + 05 9.84e + 07 7.86e + 07 6.96e + 03 方差 6.14e + 06 8.12e + 06 4.15e + 09 1.79e + 09 2.50e + 09 2.20e + 14 6.18e + 15 4.65e + 07 F4 最优值 4.41e + 02 4.41e + 02 4.54e + 02 4.49e + 02 4.52e + 02 4.19e + 02 4.88e + 02 4.49e + 02 最差值 5.56e + 02 5.59e + 02 5.73e + 02 5.61e + 02 5.65e + 02 5.48e + 02 7.64e + 02 5.54e + 02 平均值 4.92e + 02 4.95e + 02 5.08e + 02 5.01e + 02 5.05e + 02 4.75e + 02 6.03e + 02 4.99e + 02 方差 4.62e + 02 6.30e + 02 5.80e + 02 5.15e + 02 5.40e + 02 8.36e + 02 9.20e + 03 7.31e + 02 F7 最优值 7.42e + 02 7.69e + 02 8.10e + 02 7.80e + 02 7.90e + 02 8.16e + 02 8.67e + 02 8.87e + 02 最差值 8.16e + 02 8.71e + 02 9.69e + 02 9.15e + 02 9.40e + 02 9.94e + 02 1.07e + 03 1.25e + 03 平均值 7.78e + 02 8.15e + 02 8.85e + 02 8.45e + 02 8.65e + 02 8.95e + 02 9.58e + 02 1.05e + 03 方差 1.36e + 02 5.20e + 02 1.45e + 03 1.52e + 03 1.40e + 03 1.58e + 03 6.88e + 03 6.54e + 03 F8 最优值 8.35e + 02 8.44e + 02 8.97e + 02 8.34e + 02 8.33e + 02 9.21e + 02 8.86e + 02 9.03e + 02 最差值 8.84e + 02 9.07e + 02 9.94e + 02 8.85e + 02 9.30e + 02 1.03e + 03 9.61e + 02 1.01e + 03 平均值 8.53e + 02 8.63e + 02 9.41e + 02 8.51e + 02 8.95e + 02 9.71e + 02 9.24e + 02 9.45e + 02 方差 1.54e + 02 2.71e + 02 4.83e + 02 1.47e + 02 3.10e + 02 5.80e + 02 2.23e + 02 9.58e + 02 F11 最优值 1.15e + 03 1.16e + 03 1.18e + 03 1.17e + 03 1.18e + 03 1.16e + 03 1.25e + 03 1.16e + 03 最差值 1.30e + 03 1.34e + 03 1.45e + 03 1.39e + 03 1.43e + 03 1.32e + 03 2.12e + 03 1.35e + 03 平均值 1.21e + 03 1.22e + 03 1.29e + 03 1.25e + 03 1.28e + 03 1.22e + 03 1.64e + 03 1.24e + 03 方差 1.16e + 03 1.85e + 03 3.20e + 03 2.85e + 03 3.76e + 03 1.17e + 03 6.22e + 04 2.25e + 03 F15 最优值 1.63e + 03 3.86e + 03 3.65e + 03 2.75e + 03 3.20e + 03 3.06e + 03 1.58e + 04 2.87e + 03 最差值 4.41e + 03 2.15e + 04 4.29e + 04 2.42e + 04 3.50e + 04 3.12e + 04 1.51e + 05 2.48e + 04 平均值 2.12e + 03 8.52e + 03 1.53e + 04 8.75e + 03 1.25e + 04 8.31e + 03 5.86e + 04 8.13e + 03 方差 4.60e + 05 5.10e + 07 9.60e + 07 4.58e + 07 7.50e + 07 8.13e + 07 2.03e + 09 9.26e + 07 F16 最优值 1.77e + 03 1.83e + 03 2.10e + 03 1.84e + 03 1.95e + 03 2.45e + 03 2.16e + 03 2.21e + 03 最差值 2.85e + 03 2.87e + 03 3.69e + 03 2.95e + 03 3.15e + 03 3.68e + 03 2.84e + 03 3.39e + 03 平均值 2.27e + 03 2.29e + 03 2.88e + 03 2.35e + 03 2.55e + 03 3.07e + 03 2.47e + 03 2.73e + 03 方差 4.87e + 04 9.04e + 04 1.51e + 05 8.31e + 04 9.50e + 04 1.02e + 05 2.41e + 04 9.73e + 04 F19 最优值 1.95e + 03 3.04e + 03 2.70e + 03 2.76e + 03 2.80e + 03 2.83e + 03 2.37e + 05 2.65e + 03 最差值 5.64e + 03 3.41e + 04 2.42e + 04 2.56e + 04 2.60e + 04 2.65e + 04 9.77e + 06 2.39e + 04 平均值 2.59e + 03 9.05e + 03 1.02e + 04 9.85e + 03 9.95e + 03 9.61e + 03 1.98e + 06 8.15e + 03 方差 2.50e + 06 7.20e + 07 8.10e + 07 7.55e + 07 7.80e + 07 6.89e + 07 2.12e + 13 7.34e + 07 F22 最优值 2.25e + 03 2.22e + 03 2.68e + 03 2.38e + 03 2.40e + 03 2.32e + 03 2.81e + 03 2.26e + 03 最差值 3.34e + 03 6.54e + 03 7.64e + 03 8.15e + 03 8.30e + 03 9.35e + 03 9.69e + 03 5.76e + 03 平均值 2.36e + 03 3.65e + 03 4.45e + 03 4.18e + 03 4.25e + 03 4.21e + 03 5.58e + 03 2.73e + 03 方差 1.64e + 05 2.40e + 06 3.80e + 06 3.55e + 06 3.90e + 06 4.76e + 06 4.50e + 06 2.15e + 06 F24 最优值 2.83e + 03 2.84e + 03 2.93e + 03 2.86e + 03 2.88e + 03 3.05e + 03 2.94e + 03 2.92e + 03 最差值 2.94e + 03 2.95e + 03 3.03e + 03 2.97e + 03 3.00e + 03 3.37e + 03 3.16e + 03 3.19e + 03 平均值 2.88e + 03 2.89e + 03 2.98e + 03 2.91e + 03 2.95e + 03 3.20e + 03 3.07e + 03 3.02e + 03 方差 4.63e + 02 5.10e + 02 6.80e + 02 7.65e + 02 6.00e + 02 6.72e + 03 4.80e + 03 4.36e + 03 F28 最优值 3.20e + 03 3.21e + 03 3.22e + 03 3.22e + 03 3.23e + 03 3.20e + 03 3.23e + 03 3.21e + 03 最差值 3.28e + 03 3.33e + 03 3.35e + 03 3.33e + 03 3.34e + 03 3.29e + 03 4.21e + 03 3.33e + 03 平均值 3.24e + 03 3.26e + 03 3.28e + 03 3.27e + 03 3.28e + 03 3.24e + 03 3.48e + 03 3.25e + 03 方差 4.36e + 02 6.50e + 02 8.10e + 02 7.55e + 02 7.80e + 02 5.73e + 02 1.21e + 05 9.13e + 02 F29 最优值 3.40e + 03 3.44e + 03 3.70e + 03 3.49e + 03 3.65e + 03 3.71e + 03 3.73e + 03 3.73e + 03 最差值 3.99e + 03 4.14e + 03 4.75e + 03 4.08e + 03 4.50e + 03 4.65e + 03 4.90e + 03 5.16e + 03 平均值 3.63e + 03 3.72e + 03 4.15e + 03 3.72e + 03 4.05e + 03 4.14e + 03 4.21e + 03 4.25e + 03 方差 2.07e + 04 3.10e + 04 6.50e + 04 2.65e + 04 5.50e + 04 7.45e + 04 8.61e + 04 1.54e + 05 平均排名 1.17 2.42 5.20 4.05 4.35 6.30 7.80 3.92 总排名 1 2 6 4 5 7 8 3 表 6 仿真验证通用超参数设置
Table 6 Simulation hyperparameter settings
参数名称 取值 仿真环境尺寸 $ /{\rm{m}} $ $ 100\; \times 100\; \times 100\; $ 种群规模 (N) 60 最大迭代次数 ($ T_{\max} $) 600 问题维度 (D) 15 独立运行次数 200 路径长度权重 ($ \varphi_1 $) 1 水平平滑度权重 ($ \varphi_2 $) 10 垂直平滑度权重 ($ \varphi_3 $) 10 静态障碍碰撞惩罚权重 ($ \varphi_4 $) $ 10\;000 $ 动态障碍碰撞惩罚权重 ($ \varphi_5 $) $ 10\;000 $ 无人机飞行速度 $ /({\rm{m}}\cdot{\rm{s}}^{-1}) $ 10 动态障碍物速度 $ /({\rm{m}}\cdot{\rm{s}}^{-1}) $ $ \{6,\; 10,\; 12,\; 14\} $ 动态障碍物半径 $ /{\rm{m}} $ $ \{5,\; 5,\; 6,\; 6\} $ 表 7 不同仿真场景下的详细性能指标对比
Table 7 Detailed performance comparison under different simulation scenarios
环境 指标 EL-FHPSO HT-PSO GEPSO MSIPSO FWL-PSO PSO ABC GTO 静态场景 路径长度均值 155.48 166.37 164.07 173.88 173.42 172.29 166.54 165.18 平滑度均值 11.22 30.39 24.82 46.97 50.43 49.24 79.40 36.89 最优适应度值 157.80 162.44 168.80 169.74 171.82 175.42 210.27 162.77 最差适应度值 178.37 208.32 215.43 268.94 264.13 236.04 291.30 368.60 适应度均值 166.70 196.76 188.89 220.84 223.85 221.53 245.93 196.95 适应度方差 27.90 195.19 125.99 339.90 246.76 244.24 328.56 465.52 简单动态障碍场景 路径长度均值 156.57 167.70 165.41 172.33 176.92 173.13 167.90 167.97 平滑度均值 14.09 31.29 26.48 52.57 49.90 49.61 82.24 28.98 最优适应度值 158.87 163.61 170.79 171.02 175.60 181.93 223.01 174.41 最差适应度值 188.71 231.11 234.92 247.88 252.10 255.20 310.15 421.90 适应度均值 170.66 198.99 191.89 224.90 226.82 222.74 250.15 202.07 适应度方差 24.27 195.34 144.32 231.51 189.74 269.19 388.30 947.81 复杂动态障碍场景 路径长度均值 161.91 174.91 171.01 179.77 178.87 183.19 173.98 183.12 平滑度均值 19.58 46.40 53.96 58.87 63.08 65.83 99.82 45.86 最优适应度值 167.89 183.70 172.91 191.49 201.28 227.01 250.90 188.40 最差适应度值 246.28 336.35 352.93 340.11 332.06 375.55 392.29 601.08 适应度均值 181.48 221.31 224.97 238.64 241.95 249.02 273.80 228.98 适应度方差 171.41 930.28 713.37 810.37 754.81 681.98 817.01 $ 3\;710.69 $ -
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