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Chin. Phys. B, 2013, Vol. 22(9): 090205    DOI: 10.1088/1674-1056/22/9/090205
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Feedback control scheme of traffic jams based on the coupled map car-following model

Zhou Tong (周桐), Sun Di-Hua (孙棣华), Zhao Min (赵敏), Li Hua-Min (李华民)
Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China; College of Automation, Chongqing University, Chongqing 400044, China
Abstract  Based on the pioneering work of Konishi et al.[Phys. Rev. E (1999) 60 4000], a new feedback control scheme is presented to suppress traffic jams based on the coupled map car-following model under the open boundary condition. The effect of the safe headway on the traffic system is considered. According to the control theory, the condition under which traffic jams can be suppressed is analyzed. The results are compared with the previous results concerning congestion control. The simulations show that the suppression performance of our scheme on traffic jams is better than those of the previous schemes, although all the schemes can suppress traffic jams. The simulation results are consistent with theoretical analyses.
Keywords:  traffic jam      coupled map car-following model      control scheme      safe headway  
Received:  26 February 2013      Revised:  22 March 2013      Accepted manuscript online: 
PACS:  02.60.Cb (Numerical simulation; solution of equations)  
  05.20.Dd (Kinetic theory)  
  05.45.Ra (Coupled map lattices)  
  89.04.-a  
Fund: Project supported by the Major Consulting Project of Chinese Academy of Engineering (Grant No. 2012-ZX-22), the Natural Science Foundation of Chongqing Science & Technology Commission of China (Grant No. 2012jjB40002), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20120191110047), the Engineering Center Research Program of Chongqing Science & Technology Commission of China (Grant No. 2011pt-gc30005), and the Key Technology R&D Project of Chongqing Science & Technology Commission of China (Grant Nos. 2011AB2052 and 2012gg-yyjsB30001).
Corresponding Authors:  Sun Di-Hua     E-mail:  d3sun@163.com

Cite this article: 

Zhou Tong (周桐), Sun Di-Hua (孙棣华), Zhao Min (赵敏), Li Hua-Min (李华民) Feedback control scheme of traffic jams based on the coupled map car-following model 2013 Chin. Phys. B 22 090205

[1] Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035
[2] Tang T Q, Li C Y, Wu Y H and Huang H J 2011 Physica A 390 3362
[3] Naito Y and Nagatani T 2012 Physica A 391 1626
[4] Nagatani T 1999 Phys. Rev. E 60 6395
[5] Li Y F, Sun D H, Liu W N, Zhang M, Zhao M, Liao X Y and Tang L 2011 Nonlinear Dyn. 66 15
[6] Ge H X, Cheng R J and Dai S Q 2005 Physica A 357 466
[7] Peng G H 2010 Chin. Phys. B 19 056401
[8] Sun D H, Liao X Y and Peng G H 2011 Physica A 390 631
[9] Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E 64 017101
[10] Tang T Q, Li C Y and Huang H J 2010 Phys. Lett. A 374 3951
[11] Peng G H, Sun D H and He H P 2008 Acta Phys. Sin. 57 7541 (in Chinese)
[12] Yukawa S and Kikuchi M 1995 J. Phys. Soc. Jpn. 64 35
[13] Yukawa S and Kikuchi M 1996 J. Phys. Soc. Jpn. 65 916
[14] Konishi K, Kokame H and Hirata K 1999 Phys. Rev. E 60 4000
[15] Zhao X M and Gao Z Y 2006 Physica A 366 513
[16] Chen X, Gao Z Y, Zhao X M and Jia B 2007 Acta Phys. Sin. 56 2024 (in Chinese)
[17] Shen F Y, Ge H X, Zhang H, Yu H M and Lei L 2009 Chin. Phys. B 18 4208
[18] Han X L, Jiang C Y, Ge H X and Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese)
[19] Yu H M, Cheng R J and Ge H X 2010 Commun. Theor. Phys. 54 117
[20] Ge H X, Cheng R J and Li Z P 2011 Acta Phys. Sin. 60 080508 (in Chinese)
[21] Ge H X 2011 Chin. Phys. B 20 090502
[22] Ge H X, Liu Y X, Cheng R J and Lo S M 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 4439
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