Stability Analysis and Control of a Full Velocity Difference Car-following Model

被引：0
|
作者：
Du, Wenju [1 ]
Li, Yinzhen [2 ]
Zhang, Jiangang [3 ]
Yu, Jianning [2 ]
机构：
[1] Lanzhou Jiaotong Univ, Sch Traff & Transportat, Lanzhou, Peoples R China
[2] Lanzhou Jiaotong Univ, Dept Sch Traff & Transportat, Lanzhou, Peoples R China
[3] Lanzhou Jiaotong Univ, Dept Math, Lanzhou, Peoples R China
来源：
ENGINEERING LETTERS | 2020年 / 28卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Traffic engineering; Car-following model; Complex network synchronization; Stability; Traffic jams and congestion; H-INFINITY SYNCHRONIZATION; COMPLEX DYNAMICAL NETWORKS; OPTIMIZATION ALGORITHM;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In order to study the traffic jams and congestion, the paper investigated the stability of a full velocity difference car-following model on the basis of adaptive H-infinity synchronization theory of complex networks. Through the controllers designed in this paper, the full velocity difference car-following model is quickly stabilized. And the stability condition of the model is obtained by using the Lyapunov stability theory. In addition, the stability of the model is studied when the vehicle is subjected to external disturbance. Finally, the numerical simulations is carried out by using Matlab simulation technology, the results show that the full velocity difference car-following model is rapidly stabilizing and congestion phenomenon is effectively alleviated under the controllers designed in this paper.
引用
下载
收藏
页码：578 / 585
页数：8
相关论文
共 50 条
  • [41] A car-following model based on the optimized velocity and its security analysis
    Rong Fei
    Lu Yang
    Xinhong Hei
    Bo Hu
    Aimin Li
    [J]. Transportation Safety and Environment, 2023, 5 (04) : 133 - 140
  • [42] A car-following model based on the optimized velocity and its security analysis
    Fei, Rong
    Yang, Lu
    Hei, Xinhong
    Hu, Bo
    Li, Aimin
    [J]. TRANSPORTATION SAFETY AND ENVIRONMENT, 2023, 5 (04)
  • [43] Control designs and stability analyses for Helly's car-following model
    Rosas-Jaimes, Oscar A.
    Quezada-Tellez, Luis A.
    Fernandez-Anaya, Guillermo
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2018, 29 (03):
  • [44] Effect of front two adjacent vehicles’ velocity information on car-following model construction and stability analysis
    Wang, Xiaoning
    Liu, Minzhuang
    Ci, Yusheng
    Wu, Lina
    [J]. Physica A: Statistical Mechanics and its Applications, 2022,
  • [45] Effect of front two adjacent vehicles? velocity information on car-following model construction and stability analysis
    Wang, Xiaoning
    Liu, Minzhuang
    Ci, Yusheng
    Wu, Lina
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 607
  • [46] Stability of the car-following model on two lanes
    Tang, TQ
    Huang, HJ
    Gao, ZY
    [J]. PHYSICAL REVIEW E, 2005, 72 (06):
  • [47] A stable velocity control strategy for a discrete-time car-following model
    Cui, Bo-Yuan
    Zhang, Geng
    Ma, Qing-Lu
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 571
  • [48] The drivers' individual behavior difference in car-following model
    Zhou Tong
    Li Yuxuan
    Zhang Geng
    [J]. 2016 INTERNATIONAL CONFERENCE ON INTELLIGENT TRANSPORTATION, BIG DATA & SMART CITY (ICITBS), 2017, : 550 - 553
  • [49] On state feedback control and Lyapunov analysis of car-following model
    Gao, Shigen
    Dong, Hairong
    Song, Haifeng
    Zhou, Min
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 534
  • [50] A new car-following model considering velocity anticipation
    Tian Jun-Fang
    Jia Bin
    Li Xin-Gang
    Gao Zi-You
    [J]. CHINESE PHYSICS B, 2010, 19 (01)
12345