Precise path planning and trajectory tracking based on improved A-star algorithm

Boyang Xu
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Abstract

Path planning and trajectory tracking are very meaningful for the field of autonomous driving, but currently path planning still has problems such as non-optimal paths and insufficiently accurate paths. This paper addresses the issue of path planning by proposing a improved A-star algorithm and locally zooming on the map technique to achieve precise path planning. Compared with the conventional method, this method reduces the time by 23% and the path length by 21% in the scenarios shown in the paper, respectively, and provides a reference for related research. Moreover, trajectory tracking was achieved using the improved LQR control. Compared with the conventional method, the improved LQR control algorithm reduces the average error by 80% in the scenario shown in the paper. Firstly, the A-star algorithm is enhanced by incorporating an unknown path cost estimation function, thereby improving the effect of its path planning in complex environments. Additionally, the method of locally zooming on the map is incorporated, effectively enhancing the accuracy and safety of path planning. Building upon the path planning, further improvements are made to the LQR control algorithm, enabling autonomous deceleration in complex sections, which facilitates better trajectory tracking and enhances the motion control performance of the robot during practical operations.
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基于改进型 A-star 算法的精确路径规划和轨迹跟踪
路径规划和轨迹跟踪对自动驾驶领域非常有意义,但目前路径规划仍存在非最优路径和路径不够精确等问题。本文针对路径规划问题,提出了一种改进的 A-star 算法和地图局部缩放技术,以实现精确的路径规划。与传统方法相比,该方法在文中所示的场景中分别缩短了 23% 的时间和 21% 的路径长度,为相关研究提供了参考。此外,利用改进的 LQR 控制实现了轨迹跟踪。与传统方法相比,改进型 LQR 控制算法在本文所示场景中将平均误差降低了 80%。首先,A-star 算法通过加入未知路径成本估计函数得到了增强,从而改善了其在复杂环境下的路径规划效果。此外,还加入了地图局部缩放的方法,有效提高了路径规划的准确性和安全性。在路径规划的基础上,进一步改进了 LQR 控制算法,实现了复杂地段的自主减速,从而有助于更好地跟踪轨迹,提高机器人在实际操作中的运动控制性能。
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