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

doi:10.1088/1674-1056/23/2/020503

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 (郑亚周), Zheng Peng-Jun (郑彭军), Ge Hong-Xia (葛红霞) An improved car-following model with consideration of the lateral effect and its feedback control research 2014 Chin. Phys. B 23 020503

[1]	Kerner B S and Rehborn H 1996 Phys. Rev. E 53 1297
[2]	Jiang R, Wu Q S and Zhu Z J 2002 Trans. Res. B 36 405
[3]	Qian Y S, Zhen J W, Du J W, Liu Y F, Wan M and Wei J 2011 Acta Phys. Sin. 60 060505 (in Chinese)
[4]	Li Y F, Sun D H, Liu W N, Zhang M, Zhao M, Liao X Y and Tang L 2011 Nonlinear Dynamics 66 15
[5]	Qian Y S, Wang H L and Wang C L 2008 Acta Phys. Sin. 57 2115 (in Chinese)
[6]	Newell G F 1961 Oper. Res. 9 209
[7]	Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035
[8]	Ge H X, Cheng R J and Dai S Q 2005 Physica A 357 466
[9]	Tang T Q, Wu Y H, Caccetta L and Huang H J 2011 Phys. Lett. A 375 3845
[10]	Wang T, Gao Z Y and Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese)
[11]	Ge H X, Dai S Q, Xue Y and Dong L Y 2005 Phys. Rev. E 71 066119
[12]	Peng G H and Sun D H 2010 Phys. Lett. A 374 1694
[13]	Konishi K, Kokame H and Hirata K 2000 Eur. Phys. J B 15 715
[14]	Zhao X M and Gao Z Y 2006 Physica A 39 366
[15]	Han X L, Jiang C Y, Ge H X and Dai S Q 2007 Acta Phys Sin 56 4383 (in Chinese)
[16]	Shen F Y, Zhang H, Ge H X, Yu H M and Lei L 2009 Chin. Phys. B 18 4208
[17]	Yu H M, Cheng R J and Ge H X 2010 Commun. Theor. Phys. 54 117
[18]	Ge H X, Cheng R J and Li Z P 2011 Acta Phys. Sin. 60 080508 (in Chinese)
[19]	Ge H X, Meng X P, Ma J and Lo S M 2012 Phys. Lett. A 377 9

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

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