应用数学和力学2025，Vol.46Issue(10)：1342-1353,12.DOI:10.21656/1000-0887.450223
考虑多辆自动驾驶车平均速度和自时滞反馈的离散时间时滞跟驰模型
A Discrete-Time Delayed Car-Following Model Considering the Average Velocity of Multiple Autonomous Vehicles and Self-Delayed Feedback
摘要
Abstract
Based on the optimal velocity car-following model and combined with the traffic information collect-ed by autonomous vehicles through mutual communication,an improved discrete-time time-delayed car-follow-ing model was proposed to better explore the car-following performances and stability characteristics of autono-mous vehicles,with the interaction information between the front autonomous vehicle and the current autono-mous vehicle,and the average velocity of multiple front autonomous vehicles considered.In addition,the self-delayed velocity and the space headway control strategy was analyzed.With the control theory method and the Lyapunov stability theory,the stability condition for traffic flow was established.Furthermore,under disturb-ance,the spatio-temporal evolution of the autonomous vehicle flow was intuitively demonstrated through nu-merical simulation,to further validate the theoretical analysis and reveal the effects of the autonomous vehicles on the traffic flow stability through the information interaction between vehicles,the average velocity of multi-ple front vehicles,the time delay factors in the sensing process of velocity and space headway information,and the self-delayed velocity and space headway control strategy.The results show that,the information exchange between vehicles and the acquisition of the average velocity of multiple front vehicles can improve the traffic flow stability.At the same time,the self-delayed velocity and space headway control strategy can effectively im-prove the traffic flow stability and restrain traffic congestion.However,the time delay factor in the sensing process of velocity and space headway information is not conducive to the traffic flow stability.关键词
跟驰模型/平均速度/自时滞控制/稳定性Key words
car-following model/average velocity/self-delayed control/stability分类
交通运输引用本文复制引用
康成俊,苗卉..考虑多辆自动驾驶车平均速度和自时滞反馈的离散时间时滞跟驰模型[J].应用数学和力学,2025,46(10):1342-1353,12.基金项目
山西省基础研究计划(202403021221218) 本文作者衷心感谢山西工程科技职业大学科研基金计划项目(KJ202418)对本文的资助. （202403021221218）
