基于改进A<sup>*</sup>算法的煤矿救援机器人路径规划

姜媛媛; 丰雪艳

doi:10.13272/j.issn.1671-251x.2022120027

基于改进A^*算法的煤矿救援机器人路径规划

doi: 10.13272/j.issn.1671-251x.2022120027

姜媛媛^{1, 2,},
丰雪艳^1, ,

1.
安徽理工大学电气与信息工程学院, 安徽淮南　232000
2.
安徽理工大学环境友好材料与职业健康研究院(芜湖), 安徽芜湖　241003

基金项目: 安徽省重点研究与开发计划项目(202104g01020012)；安徽理工大学环境友好材料与职业健康研究院研发专项基金资助项目(ALW2020YF18)。

详细信息

作者简介:
姜媛媛(1982—)，女，安徽颍上人，教授，博士，主要研究方向为机器人导航与控制、智能诊断及故障预测，E-mail：jyyLL672@163.com

通讯作者:
丰雪艳(1999—)，女，安徽太和人，硕士研究生，主要研究方向为机器人路径规划，E-mail：13352824082@qq.com

中图分类号: TD774
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出版历程
- 收稿日期: 2022-12-08
- 修回日期: 2023-08-10
- 网络出版日期: 2023-09-04

Path planning of coal mine rescue robot based on improved A^* algorithm

JIANG Yuanyuan^{1, 2
,},
FENG Xueyan^{1
, ,}

1.
School of Electrical and Information Engineering, Anhui University of Science and Technology, Huainan 232000, China
2.
Institute of Environmental Friendly Materials and Occupational Health (Wuhu), Anhui University of Science and Technology, Wuhu 241003, China

摘要

摘要: 路径规划是煤矿救援机器人研究的重要内容之一。针对灾后煤矿环境非结构化的特点，以及传统A^*算法规划的路径长度非最短、拐弯次数多和平滑度较差等问题，提出一种基于改进A^*算法的煤矿救援机器人路径规划方法。对真实环境中的地图信息进行二值化处理，构建栅格地图；判断当前点与目标点的相对位置，利用改进A^*算法进行路径规划，得到一条从当前点到目标点的路径；利用Douglas-Peucker（D−P）算法提取路径上的关键节点，采用三次样条插值函数对关键节点进行拟合，完成对路径的平滑处理。改进A^*算法将传统A^*算法的8邻域搜索扩展为有目的性的13邻域搜索，在进行路径搜索时，先对当前点和目标点的位置关系进行判断，从而减少路径节点，减小路径长度，提升路径平滑度。Matlab仿真结果表明：与8邻域A^*算法、24邻域A^*算法、48邻域A^*算法相比，改进A^*算法在路径长度、拐弯次数、平滑度等方面有一定优化，更适用于煤矿救援机器人路径规划；与Fuzzy算法相比，改进A^*算法路径规划所用时间更短，规划的路径长度更短，拐弯次数更少。
- 煤矿救援机器人 /
- 路径规划 /
- A^*算法 /
- 邻域扩展 /
- Douglas-Peucker算法 /
- 路径平滑 /
- 三次样条插值函数
Abstract: Path planning is one of the important contents of research on coal mine rescue robots. A path planning method for coal mine rescue robots based on improved A^* algorithm is proposed to address the unstructured features of post disaster coal mine environments and the problems of non-shortest path length, multiple turns, and poor smoothness of path planned by traditional A^* algorithm. The method constructs raster maps by binarizing map information in real environments, determines the relative position between the current point and the target point, and uses the improved A^* algorithm for path planning. Then a path from the current point to the target point is obtained. Douglas-Pucker (D-P) algorithm is used to extract key nodes on the path, and cubic spline interpolation function is used to fit the key nodes, thereby completing the smooth processing of the path. The improved A^* algorithm expands the traditional A^* algorithm's 8 neighborhood search to a purposeful 13 neighborhood search. When conducting path search, the position relationship between the current point and the target point is first determined, thereby reducing path nodes and length, and improving path smoothness. The Matlab simulation results show that compared with the 8 neighborhood A^* algorithm, 24 neighborhood A^* algorithm, and 48 neighborhood A^* algorithm, the improved A^* algorithm has certain optimizations in path length, number of turns and smoothness. It is more suitable for path planning of coal mine rescue robots. Compared with the Fuzzy algorithm, the improved A^* algorithm achieve shorter path planning time, shorter planned path length, and fewer turns.
- coal mine rescue robot /
- path planning /
- A^* algorithm /
- neighborhood extension /
- Douglas-Pucker algorithm /
- smooth path /
- cubic spline interpolation function

HTML全文

图 1 8邻域A^*算法

Figure 1. 8 neighborhood A^* algorithm

下载: 全尺寸图片幻灯片

图 2 当前点与目标点的位置关系

Figure 2. The positional relationship between the current point and the target point

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图 3 改进A^*算法的搜索邻域

Figure 3. Search neighborhood of improved A^* algorithm

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图 4 煤矿救援机器人路径规划方法流程

Figure 4. Path planning process for coal mine rescue robots

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图 5 简单环境下不同邻域A^*算法规划的路径

Figure 5. Paths planned by different neighborhoods A^* algorithm in simple environment

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图 6 复杂环境下不同邻域A^*算法规划的路径

Figure 6. Paths planned by different neighborhoods A^* algorithm in complex environment

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图 7 同一环境下不同算法规划的路径对比

Figure 7. Comparison of paths planned by different algorithms in the same environment

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表 1 简单环境下不同邻域A^*算法的性能对比

Table 1. Performance comparison of different neighborhoods A^* algorithm in simple environment

算法	时间/s	路径平滑前长度/m	路径平滑后长度/m	路径节点数	路径平滑前拐弯次数	路径平滑后拐弯次数
8邻域A^*算法	0.464	617.904	605.288	96	17	2
24邻域A^*算法	0.748	602.761	597.613	74	10	2
48邻域A^*算法	0.823	602.023	598.903	72	8	2
本文算法	0.619	602.761	597.613	74	10	2

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表 2 复杂环境下不同邻域A^*算法的性能对比

Table 2. Comparison of the performance of different neighborhoods A^* algorithm in complex environment

算法	时间/s	路径平滑前长度/m	路径平滑后长度/m	路径节点数	路径平滑前拐弯次数	路径平滑后拐弯次数
8邻域A^*算法	0.807	707.696	699.431	121	15	8
24邻域A^*算法	1.212	677.411	672.739	87	11	6
48邻域A^*算法	1.361	676.673	672.739	85	11	6
本文算法	1.009	677.411	672.739	87	11	6

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表 3 本文算法与Fuzzy算法的性能对比

Table 3. Performance comparison between the algorithm in this article and Fuzzy algorithm

算法	路径长度/m	时间/s	拐弯次数
Fuzzy算法	695.297	1.067	5
本文算法	534.322	0.826	3

下载: 导出CSV

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