考虑前后车效应的反馈控制跟驰模型

葛红霞; 崔煜; 程荣军

doi:10.7498/aps.63.110504

摘要

本文中，在优化速度模型的基础上，提出一个计及跟随车与当前车车头间距的跟驰模型. 从控制论角度出发，对模型进行稳定性分析，得到了模型的稳定性条件. 同时，在新模型中引入了反馈控制信息，考虑当前车与前后方车辆之间的速度差. 对模型进行线性分析后得到小扰动不会导致交通堵塞的条件. 在开放边界条件下，对两个模型进行数值模拟，结果表明在控制信号下，车辆速度波动明显减小，拥堵现象得到有效缓解. 从而证实反馈控制信号对缓解交通拥堵的重要作用.

关键词:

Abstract

A new control method to suppress traffic jams is proposed by considering headway of the front and rear. With the control signals or not the stability conditions are derived. It is shown that the vehicle speed fluctuation by the simulations disappears when the feedback control signals are introduced. Therefore, serious congestion will not occur in the system. Illustration shows that the feedback control signal can effectively suppress and alleviate the traffic congestion.

Keywords:

作者及机构信息

1.
宁波大学海运学院, 宁波 315211;

2.
宁波大学理学院, 宁波 315211;

3.
浙江大学宁波理工学院, 宁波 315200

基金项目: 国家自然科学基金（批准号：11372166，61074142）、浙江省自然科学基金（批准号：LY13A010005）、宁波市学科项目（批准号：SZXL1067）和宁波大学王宽诚幸福基金资助的课题.

Authors and contacts

1.
Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China;

2.
Faculty of Science, Ningbo University, Ningbo 315211, China;

3.
Department of Fundamental Course, Ningbo Institute of Technology, Zhejiang University, Ningbo 315200, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11372166, 61074142), the Scientific Research Fund of Zhejiang Provincial, China (Grant No.LY13A010005), Disciplinary Project of Ningbo, China (Grant No.SZXL1067), and the K.C. Wong Magna Fund in Ningbo University, China.

参考文献

[1]	Xue Y 2004 2004 Acta Phys. Sin. 53 25 (in Chinese) [薛郁 2004 物理学报 53 25]
[2]	Tang T Q, Huang H J, Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) [唐铁桥,黄海军, 薛郁 2006 物理学报55 4026]
[3]	Tang T Q, Huang H J, Shang H Y 2010 Acta Phys. Sin. 59 6003 (in Chinese) [唐铁桥,黄海军,尚华艳 2010 物理学报 59 6003]
[4]	Peng G H, Sun D H, He H P 2008 Acta Phys. Sin. 57 7541 (in Chinese) [彭光含, 孙棣华, 何恒攀 2008 物理学报 57 7541]
[5]	Peng G H, Sun D H 2009 Chin. Phys. B 18 5420
[6]	Li Z P, Liu Y C 2006 Chin. Phys. 15 1570
[7]	Tang T Q, Huang H J, Gao Z Y, Wong S C 2007 Physica A 380 481
[8]	Li Z P, Liu Y C 2006 Chin. Phys. 15 1570
[9]	Tian H H, Xue Y, Kan S J, Liang Y J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢, 薛郁, 康三军, 梁玉娟 2009 物理学报 58 4506]
[10]	Bando M, Hasebe K, Nakayama A 1995 Phys. Rev. E 51 1035
[11]	Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[12]	Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[13]	Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese) [薛郁, 董力耘, 袁以武, 戴世强 2002 物理学报 51 492]
[14]	Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Commun. Theor. Phys. 38 230
[15]	Ge H X, Dai S Q, Dong L Y 2004 Phys. Rev. E 70 066134
[16]	Konishi K, Kokame H, Hirata K 1999 Phys. Rev. E 60 4000
[17]	Zhao X M, Gao Z Y 2006 Physica A 366 513
[18]	Han X L, Jiang C Y, Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临, 姜长元, 葛红霞, 戴世强 2007 物理学报 56 4383]
[19]	Shen F Y, Ge H X, Zhang H, Yu H M, Lei L 2009 Chin. Phys. B 18 4208
[20]	Ge H X, Cheng R J, Li Z P 2011 Chin. Phys. B 20 080508
[21]	Ge H X, Yu J, Lo S M 2012 Chin. Phys. Lett. 29 050502
[22]	Ge H X, Meng X P, Ma J, Lo S M 2012 Phys. Lett. A 377 9
[23]	Ge H X, Zhu H B, Dai S Q 2006 Eur. Phys. J. B 54 503
[24]	Jia B, Jiang R, Wu Q S 2005 Physica A 348 544

施引文献

[1]	Xue Y 2004 2004 Acta Phys. Sin. 53 25 (in Chinese) [薛郁 2004 物理学报 53 25]
[2]	Tang T Q, Huang H J, Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) [唐铁桥,黄海军, 薛郁 2006 物理学报55 4026]
[3]	Tang T Q, Huang H J, Shang H Y 2010 Acta Phys. Sin. 59 6003 (in Chinese) [唐铁桥,黄海军,尚华艳 2010 物理学报 59 6003]
[4]	Peng G H, Sun D H, He H P 2008 Acta Phys. Sin. 57 7541 (in Chinese) [彭光含, 孙棣华, 何恒攀 2008 物理学报 57 7541]
[5]	Peng G H, Sun D H 2009 Chin. Phys. B 18 5420
[6]	Li Z P, Liu Y C 2006 Chin. Phys. 15 1570
[7]	Tang T Q, Huang H J, Gao Z Y, Wong S C 2007 Physica A 380 481
[8]	Li Z P, Liu Y C 2006 Chin. Phys. 15 1570
[9]	Tian H H, Xue Y, Kan S J, Liang Y J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢, 薛郁, 康三军, 梁玉娟 2009 物理学报 58 4506]
[10]	Bando M, Hasebe K, Nakayama A 1995 Phys. Rev. E 51 1035
[11]	Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[12]	Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[13]	Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese) [薛郁, 董力耘, 袁以武, 戴世强 2002 物理学报 51 492]
[14]	Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Commun. Theor. Phys. 38 230
[15]	Ge H X, Dai S Q, Dong L Y 2004 Phys. Rev. E 70 066134
[16]	Konishi K, Kokame H, Hirata K 1999 Phys. Rev. E 60 4000
[17]	Zhao X M, Gao Z Y 2006 Physica A 366 513
[18]	Han X L, Jiang C Y, Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临, 姜长元, 葛红霞, 戴世强 2007 物理学报 56 4383]
[19]	Shen F Y, Ge H X, Zhang H, Yu H M, Lei L 2009 Chin. Phys. B 18 4208
[20]	Ge H X, Cheng R J, Li Z P 2011 Chin. Phys. B 20 080508
[21]	Ge H X, Yu J, Lo S M 2012 Chin. Phys. Lett. 29 050502
[22]	Ge H X, Meng X P, Ma J, Lo S M 2012 Phys. Lett. A 377 9
[23]	Ge H X, Zhu H B, Dai S Q 2006 Eur. Phys. J. B 54 503
[24]	Jia B, Jiang R, Wu Q S 2005 Physica A 348 544

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