基于POMDP-A*融合算法的动态不确定环境路径规划方法

Dynamic Uncertain Environment Path Planning Method Based on POMDP-A* Fusion Algorithm

  • 摘要: 移动机器人在未知环境中行进时,常受感知与定位不确定性的制约,因此,在动态不确定环境下实现鲁棒的路径规划具有重要意义。本文提出一种融合部分可观测马尔可夫决策过程(POMDP)概率状态建模与A*启发式搜索的路径规划框架,通过概率建模处理动态障碍物的位置不确定性;在此基础上改进启发式函数,引入多条件触发的重规划机制,增强算法在不同环境状态下的适应性;并利用KD-Tree结构优化状态空间中的近邻查询,将碰撞检测效率从O(n)提升至O(log n)。仿真实验结果表明,所提算法在累积奖励中位数上显著优于对比方法,平均单步决策时间可达0.01秒,较POMCP算法快一个数量级,且在观测噪声水平高达0.45时仍能保持65%的任务成功率,在路径质量、规划效率和鲁棒性方面均表现出显著优势。

     

    Abstract: When navigating in unknown environments, mobile robots are often constrained by perceptual and localization uncertainties, making robust path planning in dynamic and uncertain environments crucial. This paper proposes a path planning framework that integrates probabilistic state modeling based on Partially Observable Markov Decision Processes (POMDP) with the heuristic search of the A* algorithm. By leveraging probabilistic modeling, the framework addresses the positional uncertainty of dynamic obstacles. To enhance the algorithm's adaptability across varying environmental states, the heuristic function is improved and a multi-condition triggered replanning mechanism is introduced. The use of a KD-Tree structure for nearest-neighbor queries optimizes the collision detection efficiency from O(n) to O(log n).Simulation experiment results demonstrate that the proposed algorithm significantly outperforms comparative methods in terms of median cumulative rewards, achieving an average single-step decision time of 0.01 seconds, which is an order of magnitude faster than the POMCP algorithm. Additionally, it maintains a 65% task success rate even under observation noise levels as high as 0.45, demonstrating significant advantages in path quality, planning efficiency, and robustness.

     

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