Path Planning for Autonomous Systems Design: A Focus Genetic Algorithm for Complex Environments

Chuan Hu, Yan Jin
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Abstract

Path planning has been a hot research topic in robotics and is a vital functionality for autonomous systems. As the time complexity of traditional path planning algorithms grows rapidly with the complexity of the problem, evolutionary algorithms are widely applied for their near-optimal solutions. However, evolutionary algorithms can be trapped in a local optimum or converge to infeasible solutions, especially for large search spaces. As the problem scale increases, evolutionary algorithms often cannot find feasible solutions with random exploration, making it extremely challenging to solve long-range path-planning problems in environments with obstacles of various shapes and sizes. For long-range path planning of an autonomous ship, the current downsampling map approach may result in the disappearance of rivers and make the problem unsolvable. This paper introduces a novel area-based collision assessment method for Genetic Algorithm (GA) that can always converge to feasible solutions with various waypoints in large-scale and obstacle-filled environments. Waypoint-based crossover and mutation operators are developed to allow GA to modify the length of the solution during planning. To avoid the premature problem of GA, the mutation process is replaced by a self-improving process to let the algorithm focus the operations on any potential solutions before discarding them in the selection process. The case studies show that the proposed GA-focus algorithm converges faster than RRT* and can be applied to various large-scale and challenging problems filled with obstacles of different shapes and sizes, and find high-quality solutions.
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自主系统设计路径规划:复杂环境下的焦点遗传算法
路径规划一直是机器人领域的研究热点,是自主系统的重要功能。由于传统路径规划算法的时间复杂度随着问题的复杂性而迅速增长,进化算法因其近最优解而得到广泛应用。然而,进化算法可能会陷入局部最优或收敛到不可行的解,特别是对于大型搜索空间。随着问题规模的扩大,进化算法往往无法通过随机探索找到可行的解决方案,这使得在具有各种形状和大小障碍物的环境中解决长期路径规划问题具有极大的挑战性。对于自主船舶的远程路径规划,目前的下采样地图方法可能会导致河流消失,使问题无法解决。本文提出了一种新的基于区域的遗传算法碰撞评估方法,该方法能够在大规模、充满障碍物的环境中始终收敛到具有多种路径点的可行解。开发了基于路径点的交叉和变异算子,允许遗传算法在规划过程中修改解的长度。为了避免遗传算法的早熟问题,将突变过程替换为自改进过程,使算法在选择过程中将所有可能的解集中在运算上,然后将其丢弃。实例研究表明,本文提出的GA-focus算法比RRT*收敛速度快,可以应用于各种充满不同形状和大小障碍物的大规模挑战性问题,并找到高质量的解。
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