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Chin. Phys. B, 2014, Vol. 23(2): 020503    DOI: 10.1088/1674-1056/23/2/020503
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An improved car-following model with consideration of the lateral effect and its feedback control research

Zheng Ya-Zhoua, Zheng Peng-Junb, Ge Hong-Xiab
a Faculty of Science, Ningbo University, Ningbo 315211, China;
b Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China
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.
Keywords:  car-following model      feedback control method      stability condition  
Received:  25 April 2013      Revised:  26 May 2013      Accepted manuscript online: 
PACS:  05.70.Fh (Phase transitions: general studies)  
  05.70.Jk (Critical point phenomena)  
  05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)  
  89.40.+k  
Fund: 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.
Corresponding Authors:  Ge Hong-Xia     E-mail:  gehongxia@nbu.edu.cn
About author:  05.70.Fh; 05.70.JK; 05.90.+m; 89.40.+k

Cite this article: 

Zheng Ya-Zhou, Zheng Peng-Jun, Ge Hong-Xia An improved car-following model with consideration of the lateral effect and its feedback control research 2014 Chin. Phys. B 23 020503

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