一类时变时滞车辆跟驰模型的稳定性控制  

Study on stability control of a car-following model with time-varying delay

作　　者：杜文举[1] 李引珍[1] 张建刚[2] 俞建宁[1] DU Wen-ju;LI Yin-zhen;ZHANG Jian-gang;YU Jian-ning(School of Traffic and Transportation,Lanzhou Jiaotong University,Lanzhou Gansu 730070,China;School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou Gansu 730070,China)

机构地区：[1]兰州交通大学交通运输学院,甘肃兰州730070 [2]兰州交通大学数理学院,甘肃兰州730070

出　　处：《控制理论与应用》2020年第7期1481-1490,共10页Control Theory & Applications

基　　金：国家自然科学基金项目(61863022);兰州交通大学青年科学基金项目(2018020)资助。

摘　　要：为了研究交通拥堵问题,同时了解交通拥挤形成的过程以及驾驶员自身特性对交通流稳定性的影响.本文基于复杂网络同步理论,对一类考虑前后车效应的时变时滞最优速度车辆跟驰模型的稳定性进行了研究.利用Lyapunov稳定性理论,通过设计基于速度和车头间距的自适应控制器使得该车辆跟驰模型趋于稳定,并得到了模型稳定性的条件.此外,在车辆受到随机外部扰动的情形下,研究了该模型的稳定性.最后,采用MATLAB仿真技术进行了数值模拟,结果表明在本文设计的控制器下,考虑前后车效应的时变时滞最优速度车辆跟驰模型快速趋于稳定,拥堵现象得到了有效的缓解.In order to study the traffic jams and congestion and to understand the forming process of traffic congestion and the influence of drivers’own characteristics on the stability of traffic flow.This paper investigated the stability of a timevarying delay optimal velocity car-following model with considering the effect of front and rear vehicles on the basis of synchronization theory of complex network,.By using the Lyapunov stability theory and designing the adaptive controller based on speed and headway distance,the car-following model is quickly stabilized and the stability condition of the model is obtained.In addition,the stability of this model is studied when the vehicle is subjected to external disturbance.Finally,the numerical simulation is carried out by using MATLAB simulation technology,the results show that the time-varying delay optimal velocity car-following model with considering the effect of front and rear vehicles is rapidly stabilizing and congestion phenomenon is effectively alleviated under the controller designed.

关 键 词：交通工程 车辆跟驰模型 扰动 同步 稳定性控制 交通拥堵 

分 类 号：U463.6[机械工程—车辆工程]