Time variable gain ESO-based fixed-time platoon tracking control for connected vehicles

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2025-10-01 Epub Date: 2025-04-23 DOI:10.1016/j.amc.2025.129477
Linlin Liu , Liang Cao , Hongru Ren , Meng Zhao
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Abstract

Autonomous vehicles with information exchange and precision control on the road usually form platoon with smaller gaps between vehicles to increase the road traffic volume and reduce the fossil energy consumption. This paper focuses on uncertain vehicle platoon systems (VPSs) with disturbances and designs a distributed fixed-time disturbance rejection platoon tracking control strategy based on time variable gain extended state observer (TVGESO) and fixed-time stability theory. Firstly, a TVGESO is designed to achieve the estimation of external disturbances, which not only has a stricter stability analysis process of observation error convergence compared to nonlinear extended state observer, but also weakens the phenomenon of “initial differential peak” in traditional linear extended state observer methods. Subsequently, using the estimation of TVGESO and the fixed-time stability theory, a fixed-time control method is derived in the backstepping framework, and stability analysis shows that the control method achieves the system stability in bounded time independently of the initial conditions. Finally, the control strategy is applied to the VPSs, and the simulation and results verify that the control strategy can improve the transient and steady-state tracking control performance.
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基于时变增益的网联车辆定时排跟踪控制
在道路上进行信息交换和精确控制的自动驾驶汽车通常会形成车辆之间较小间距的队列,以增加道路交通量,减少化石能源消耗。针对具有扰动的不确定车辆排系统,设计了一种基于时变增益扩展状态观测器(TVGESO)和定时稳定性理论的分布式定时抗扰排跟踪控制策略。首先,设计了一种TVGESO实现对外部干扰的估计,与非线性扩展状态观测器相比,该方法不仅具有更严格的观测误差收敛稳定性分析过程,而且减弱了传统线性扩展状态观测器方法中的“初始微分峰”现象。随后,利用TVGESO的估计和定时稳定性理论,推导出一种逆推框架下的定时控制方法,稳定性分析表明,该控制方法能够独立于初始条件实现系统在有界时间内的稳定。最后,将该控制策略应用于vps,仿真和结果验证了该控制策略可以提高暂态和稳态跟踪控制性能。
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来源期刊
CiteScore
7.90
自引率
10.00%
发文量
755
审稿时长
36 days
期刊介绍: Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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