Kinematic Constrained RRT Algorithm with Post Waypoint Shift for the Shortest Path Planning of Wheeled Mobile Robots

This paper presents a rapidly exploring random tree (RRT) algorithm with an effective post waypoint shift, which is suitable for the path planning of a wheeled mobile robot under kinematic constraints. In the growth of the exploring tree, the nearest node that satisfies the kinematic constraints is...

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Main Authors: Sisi Liu, Zhan Zhao, Jun Wei, Qianqian Zhou
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/24/21/6948
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author Sisi Liu
Zhan Zhao
Jun Wei
Qianqian Zhou
author_facet Sisi Liu
Zhan Zhao
Jun Wei
Qianqian Zhou
author_sort Sisi Liu
collection DOAJ
description This paper presents a rapidly exploring random tree (RRT) algorithm with an effective post waypoint shift, which is suitable for the path planning of a wheeled mobile robot under kinematic constraints. In the growth of the exploring tree, the nearest node that satisfies the kinematic constraints is selected as the parent node. Once the distance between the new node and the target is within a certain threshold, the tree growth stops and a target connection based on minimum turning radius arc is proposed to generate an initial complete random path. The most significant difference from traditional RRT-based methods is that the proposed method optimizes the path based on Dubins curves through a post waypoint shift after a random path is generated, rather than through parent node selection and rewiring during the exploring tree growth. Then, it is proved that the method can obtain an optimal path in terms of the shortest length. The optimized path has good convergence and almost does not depend on the state of the initial random path. The comparative test results show that the proposed method has significant advantages over traditional RRT-based methods in terms of the sampling point number, the tree node number, and the path node number. Subsequently, an efficient method is further proposed to avoid unknown obstacles, which utilizes the original path information and thus effectively improves the new path planning efficiency. Simulations and real-world tests are carried out to demonstrate the effectiveness of this method.
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spelling doaj-art-711e67dbd951419f83d8a4a030f45a0c2025-08-20T02:49:55ZengMDPI AGSensors1424-82202024-10-012421694810.3390/s24216948Kinematic Constrained RRT Algorithm with Post Waypoint Shift for the Shortest Path Planning of Wheeled Mobile RobotsSisi Liu0Zhan Zhao1Jun Wei2Qianqian Zhou3School of Agricultural Engineering, Jiangsu University, Zhenjiang 212013, ChinaSchool of Agricultural Engineering, Jiangsu University, Zhenjiang 212013, ChinaSchool of Agricultural Engineering, Jiangsu University, Zhenjiang 212013, ChinaSchool of Agricultural Engineering, Jiangsu University, Zhenjiang 212013, ChinaThis paper presents a rapidly exploring random tree (RRT) algorithm with an effective post waypoint shift, which is suitable for the path planning of a wheeled mobile robot under kinematic constraints. In the growth of the exploring tree, the nearest node that satisfies the kinematic constraints is selected as the parent node. Once the distance between the new node and the target is within a certain threshold, the tree growth stops and a target connection based on minimum turning radius arc is proposed to generate an initial complete random path. The most significant difference from traditional RRT-based methods is that the proposed method optimizes the path based on Dubins curves through a post waypoint shift after a random path is generated, rather than through parent node selection and rewiring during the exploring tree growth. Then, it is proved that the method can obtain an optimal path in terms of the shortest length. The optimized path has good convergence and almost does not depend on the state of the initial random path. The comparative test results show that the proposed method has significant advantages over traditional RRT-based methods in terms of the sampling point number, the tree node number, and the path node number. Subsequently, an efficient method is further proposed to avoid unknown obstacles, which utilizes the original path information and thus effectively improves the new path planning efficiency. Simulations and real-world tests are carried out to demonstrate the effectiveness of this method.https://www.mdpi.com/1424-8220/24/21/6948rapidly exploring random treekinematic constraintswheeled mobile robotspost waypoint shiftshortest path planning
spellingShingle Sisi Liu
Zhan Zhao
Jun Wei
Qianqian Zhou
Kinematic Constrained RRT Algorithm with Post Waypoint Shift for the Shortest Path Planning of Wheeled Mobile Robots
Sensors
rapidly exploring random tree
kinematic constraints
wheeled mobile robots
post waypoint shift
shortest path planning
title Kinematic Constrained RRT Algorithm with Post Waypoint Shift for the Shortest Path Planning of Wheeled Mobile Robots
title_full Kinematic Constrained RRT Algorithm with Post Waypoint Shift for the Shortest Path Planning of Wheeled Mobile Robots
title_fullStr Kinematic Constrained RRT Algorithm with Post Waypoint Shift for the Shortest Path Planning of Wheeled Mobile Robots
title_full_unstemmed Kinematic Constrained RRT Algorithm with Post Waypoint Shift for the Shortest Path Planning of Wheeled Mobile Robots
title_short Kinematic Constrained RRT Algorithm with Post Waypoint Shift for the Shortest Path Planning of Wheeled Mobile Robots
title_sort kinematic constrained rrt algorithm with post waypoint shift for the shortest path planning of wheeled mobile robots
topic rapidly exploring random tree
kinematic constraints
wheeled mobile robots
post waypoint shift
shortest path planning
url https://www.mdpi.com/1424-8220/24/21/6948
work_keys_str_mv AT sisiliu kinematicconstrainedrrtalgorithmwithpostwaypointshiftfortheshortestpathplanningofwheeledmobilerobots
AT zhanzhao kinematicconstrainedrrtalgorithmwithpostwaypointshiftfortheshortestpathplanningofwheeledmobilerobots
AT junwei kinematicconstrainedrrtalgorithmwithpostwaypointshiftfortheshortestpathplanningofwheeledmobilerobots
AT qianqianzhou kinematicconstrainedrrtalgorithmwithpostwaypointshiftfortheshortestpathplanningofwheeledmobilerobots