中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20503-020503.doi: 10.1088/1674-1056/23/2/020503

• GENERAL • 上一篇    下一篇

An improved car-following model with consideration of the lateral effect and its feedback control research

郑亚周a, 郑彭军b, 葛红霞b   

  1. a Faculty of Science, Ningbo University, Ningbo 315211, China;
    b Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China
  • 收稿日期:2013-04-25 修回日期:2013-05-26 出版日期:2013-12-12 发布日期:2013-12-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11072117 and 61074142), the Scientific Research Fund of the Educational Department of Zhejiang Province, China (Grant No. Z201119278), the Natural Science Foundation of Ningbo, China (Grant Nos. 2012A610152 and 2012A610038), the Disciplinary Project of Ningbo, China (Grant No. SZXL1067), and the K. C. Wong Magna Fund in Ningbo University, China.

An improved car-following model with consideration of the lateral effect and its feedback control research

Zheng Ya-Zhou (郑亚周)a, Zheng Peng-Jun (郑彭军)b, Ge Hong-Xia (葛红霞)b   

  1. a Faculty of Science, Ningbo University, Ningbo 315211, China;
    b Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China
  • Received:2013-04-25 Revised:2013-05-26 Online:2013-12-12 Published:2013-12-12
  • Contact: Ge Hong-Xia E-mail:gehongxia@nbu.edu.cn
  • About author:05.70.Fh; 05.70.JK; 05.90.+m; 89.40.+k
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11072117 and 61074142), the Scientific Research Fund of the Educational Department of Zhejiang Province, China (Grant No. Z201119278), the Natural Science Foundation of Ningbo, China (Grant Nos. 2012A610152 and 2012A610038), the Disciplinary Project of Ningbo, China (Grant No. SZXL1067), and the K. C. Wong Magna Fund in Ningbo University, China.

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摘要： A car-following model is presented, in which the effects of non-motor vehicles on adjacent lanes are taken into account. A control signal including the velocity differences between the following vehicle and the target vehicle is introduced according to the feedback control theory. The stability condition for the new model is derived. Numerical simulation is used to demonstrate the advantage of the new model including the control signal; the results are consistent with the analytical ones.

关键词: car-following model, feedback control method, stability condition

Abstract: A car-following model is presented, in which the effects of non-motor vehicles on adjacent lanes are taken into account. A control signal including the velocity differences between the following vehicle and the target vehicle is introduced according to the feedback control theory. The stability condition for the new model is derived. Numerical simulation is used to demonstrate the advantage of the new model including the control signal; the results are consistent with the analytical ones.

Key words: car-following model, feedback control method, stability condition

中图分类号:  (Phase transitions: general studies)

  • 05.70.Fh
05.70.Jk (Critical point phenomena) 05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)