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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.
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Keywords:
- traffic flow /
- control of traffic jam /
- coupled map car-following model /
- cyber physical systems
[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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