考虑最邻近前车综合信息的反馈控制跟驰模型

孙棣华; 周桐; 刘卫宁; 郑林江

doi:10.7498/aps.62.170503

摘要

拥堵控制中, 通过车辆运行状态感知与控制的交互融合, 实现对车辆有效控制的过程, 具有信息物理融合系统的典型特征. 本文基于Konishi等的研究工作, 从交通信息系统与交通物理系统融合的角度, 进一步考虑优化速度差和安全间距对车流的影响, 在耦合映射跟驰模型中, 提出了一种考虑最邻近前车综合信息的交通拥堵反馈控制方案. 运用反馈控制理论, 给出了头车速度发生变化时交通流保持稳定的条件, 并与前人工作进行了比较. 理论分析与数值模拟结果一致表明, 耦合映射跟驰模型在本文提出的控制方案下能更有效地抑制交通拥堵.

关键词:

Abstract

Congestion control is a process to achieve optimal decision-making and effective control of vehicles through the interaction of vehicular perception and control, it shows the typical characteristic of cyber physical systems. Based on the pioneer work of Konishi et al., we present a new feedback control scheme to suppress traffic jam in the coupled map car-following model under open boundary condition, which considers the effect of safe headway and optimal velocity difference on the traffic system from the perspective of tight conjoining between the transportation cyber system and the transportation physical system. According to the control theory, the condition under which traffic jam can be suppressed is analyzed. Both theoretical analyses and simulation results show that the suppression performance of our scheme is better than those of the previous schemes, although all the schemes can suppress traffic jam.

Keywords:

作者及机构信息

1.
重庆大学自动化学院, 重庆 400044;

2.
重庆大学信息物理社会可信服务计算教育部重点实验室, 重庆 400044

基金项目: 中国工程院重点咨询项目(批准号: 2012-ZX-22);重庆市自然科学基金重点项目(批准号: cstc2012jjB40002);教育部博士点基金项目(批准号: 20120191110047);重庆市科委工程中心研究计划项目(批准号: 2011pt-gc30005)和重庆市科技攻关重点项目(批准号: 2011AB2052, 2012gg-yyjsB30001)资助的课题.

Authors and contacts

1.
College of Automation, Chongqing University, Chongqing 400044, China;

2.
Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China

Funds: Project supported by the Chinese Academy of Engineering Major Consulting Program (Grant No. 2012-ZX-22), the Natural Science Foundation of Chongqing, China (Grant No. 2012jjB40002), the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No. 20120191110047), the Engineering Center Research Program of Chongqing, China (Grant No. 2011pt-gc30005), and the Key Science and Technology Program of Chongqing, China (Grant Nos. 2011AB2052, 2012gg-yyjsB30001).

参考文献

[1]	Sun D H, Li Y F, Liu W N, Zhao M, Liao X Y 2013 China Journal of Highway and Transport 26 144 (in Chinese) [孙棣华, 李永福, 刘卫宁, 赵敏, 廖孝勇 2013 中国公路学报 26 144]
[2]	Chowdhury D, Santen L, Schreckenberg A 2000 Phys. Rep. 329 199
[3]	Bando M, Hasebe K, Nakayama A, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[4]	Tang T Q, Huang H J, Shang H Y 2010 Chin. Phys. B 19 050517
[5]	Tang T Q, Huang H J, Shang H Y 2010 Phys. Lett. A 374 1668
[6]	Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[7]	Tang T Q, Huang H J, Gao Z Y 2005 Phys. Rev. E 72 066124
[8]	Tang T Q, Huang H J, Xu G, Xue Y 2008 Acta Phys. Sin. 57 56 (in Chinese) [唐铁桥, 黄海军, 徐刚, 薛郁 2008 57 56]
[9]	Wang T, Gao Z Y, Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese) [王涛, 高自友, 赵小梅 2006 55 634]
[10]	Tang T Q, Huang H J, Xu X Y, Xue Y 2007 Chin. Phys . Lett. 24 1410
[11]	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 57 7541]
[12]	Tang T Q, Li C Y, Huang H J 2010 Phys. Lett. A 374 3951
[13]	Jin S, Wang D H, Huang Z Y, Tao P F 2011 Physica A 390 1931
[14]	Tang T Q, Huang H J, Wong S C, Jiang R 2007 Acta Mech. Sin. 23 49
[15]	Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛郁 2003 52 2750]
[16]	Tang T Q, Huang H J, Wong S C, Jiang R 2008 Acta Mech. Sin. 24 399
[17]	Konishi K, Kokame H, Hirata K 1999 Phys. Rev. E 60 4000
[18]	Zhao X M, Gao Z Y 2006 Physica A 366 513
[19]	Chen X, Gao Z Y, Zhao X M, Jia B 2007 Acta Phys. Sin. 56 2024 (in Chinese) [陈漩, 高自友, 赵小梅, 贾斌 2007 56 2024]
[20]	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 56 4383]
[21]	Shen F Y, Ge H X, Zhang H, Yu H M, Lei L 2009 Chin. Phys. B 18 4208
[22]	Ge H X, Chen R J, Li Z P 2011 Acta Phys. Sin. 60 080508 (in Chinese) [葛红霞, 程荣军, 李志鹏 2011 60 080508]
[23]	Ge H X 2011 Chin. Phys. B 20 090502
[24]	Ge H X, Liu Y X, Cheng R J, Lo S M 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 4439
[25]	Peng G H, Cai X H, Liu C Q, Cao B F, Tuo M X 2011 Phys. Lett. A 375 3973

施引文献

[1]	Sun D H, Li Y F, Liu W N, Zhao M, Liao X Y 2013 China Journal of Highway and Transport 26 144 (in Chinese) [孙棣华, 李永福, 刘卫宁, 赵敏, 廖孝勇 2013 中国公路学报 26 144]
[2]	Chowdhury D, Santen L, Schreckenberg A 2000 Phys. Rep. 329 199
[3]	Bando M, Hasebe K, Nakayama A, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[4]	Tang T Q, Huang H J, Shang H Y 2010 Chin. Phys. B 19 050517
[5]	Tang T Q, Huang H J, Shang H Y 2010 Phys. Lett. A 374 1668
[6]	Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[7]	Tang T Q, Huang H J, Gao Z Y 2005 Phys. Rev. E 72 066124
[8]	Tang T Q, Huang H J, Xu G, Xue Y 2008 Acta Phys. Sin. 57 56 (in Chinese) [唐铁桥, 黄海军, 徐刚, 薛郁 2008 57 56]
[9]	Wang T, Gao Z Y, Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese) [王涛, 高自友, 赵小梅 2006 55 634]
[10]	Tang T Q, Huang H J, Xu X Y, Xue Y 2007 Chin. Phys . Lett. 24 1410
[11]	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 57 7541]
[12]	Tang T Q, Li C Y, Huang H J 2010 Phys. Lett. A 374 3951
[13]	Jin S, Wang D H, Huang Z Y, Tao P F 2011 Physica A 390 1931
[14]	Tang T Q, Huang H J, Wong S C, Jiang R 2007 Acta Mech. Sin. 23 49
[15]	Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛郁 2003 52 2750]
[16]	Tang T Q, Huang H J, Wong S C, Jiang R 2008 Acta Mech. Sin. 24 399
[17]	Konishi K, Kokame H, Hirata K 1999 Phys. Rev. E 60 4000
[18]	Zhao X M, Gao Z Y 2006 Physica A 366 513
[19]	Chen X, Gao Z Y, Zhao X M, Jia B 2007 Acta Phys. Sin. 56 2024 (in Chinese) [陈漩, 高自友, 赵小梅, 贾斌 2007 56 2024]
[20]	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 56 4383]
[21]	Shen F Y, Ge H X, Zhang H, Yu H M, Lei L 2009 Chin. Phys. B 18 4208
[22]	Ge H X, Chen R J, Li Z P 2011 Acta Phys. Sin. 60 080508 (in Chinese) [葛红霞, 程荣军, 李志鹏 2011 60 080508]
[23]	Ge H X 2011 Chin. Phys. B 20 090502
[24]	Ge H X, Liu Y X, Cheng R J, Lo S M 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 4439
[25]	Peng G H, Cai X H, Liu C Q, Cao B F, Tuo M X 2011 Phys. Lett. A 375 3973

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