基于有限时间的移动机器人轨迹跟踪控制方法
Trajectory Tracking Control Method of Mobile Robot Based on Finite Time
DOI: 10.12677/PM.2023.138232, PDF,   
作者: 刘志民:上海出版印刷高等专科学校基础教学部,上海
关键词: 有限时间移动机器人轨迹跟踪Finite-Time Mobile Robot Trajectory Tracking
摘要: 本文提出了一种新的移动机器人轨迹跟踪控制方法。为了精确跟踪预定轨迹,采用有限时间控制策略将移动机器人的误差动力学分为两个子系统。首先,为一阶系统设计了角速度的全局有限时间控制律,以稳定移动机器人的角度误差。然后,设计了有限时间前向速度滑模控制律,所设计的控制系统具有全局稳定性。此外,利用李雅普诺夫控制理论分析了整个闭环系统的全局一致稳定性。最后,将所提出的控制算法应用于移动机器人,仿真结果表明了良好的收敛性和性能。
Abstract: This paper presents a new method of trajectory tracking control for mobile robots. In order to ac-curately track the predetermined trajectory, the finite time control strategy is used to divide the error dynamics of the mobile robot into two subsystems. Firstly, a global finite-time control law of angular velocity is designed for the first-order system to stabilize the angular error of the mobile robot. Then, a finite time forward velocity sliding mode control law is designed, and the designed control system has global stability. In addition, the global uniform stability of the whole closed-loop system is analyzed by using Lyapunov control theory. Finally, the proposed control algorithm is applied to the mobile robot, and the simulation results show good convergence and performance.
文章引用:刘志民. 基于有限时间的移动机器人轨迹跟踪控制方法[J]. 理论数学, 2023, 13(8): 2260-2266. https://doi.org/10.12677/PM.2023.138232

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