中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4208-4216.doi: 10.1088/1674-1056/18/10/021

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A control method for congested traffic in the coupled map car-following model

葛红霞1, 张辉1, 余寒梅1, 沈飞英2, 雷丽3   

  1. (1)Faculty of Science, Ningbo University, Ningbo 315211, China; (2)Faculty of Science, Ningbo University, Ningbo 315211, China; (3)School of Energy and Power Engineering, Shandong University, Jinan 250061, China
  • 收稿日期:2009-02-19 修回日期:2009-04-03 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    Project supported by the National Key Basic Research Program of China (Grant No 2006CB705500), the National Natural Science Foundation of China (Grant Nos 10532060, 10602025 and 10802042), the Natural Science Foundation of Ningbo (Grant Nos 2007A610050, 2

A control method for congested traffic in the coupled map car-following model

Shen Fei-Ying(沈飞英)a), Ge Hong-Xia(葛红霞)a)†, Zhang Hui(张辉)a), Yu Han-Mei(余寒梅)a), and Lei Li(雷丽)b)   

  1. a Faculty of Science, Ningbo University, Ningbo 315211, China; b School of Energy and Power Engineering, Shandong University, Jinan 250061, China
  • Received:2009-02-19 Revised:2009-04-03 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    Project supported by the National Key Basic Research Program of China (Grant No 2006CB705500), the National Natural Science Foundation of China (Grant Nos 10532060, 10602025 and 10802042), the Natural Science Foundation of Ningbo (Grant Nos 2007A610050, 2

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摘要： Based on the pioneer work of Konishi et al, a new control method is presented to suppress the traffic congestion in the coupled map (CM) car-following model under an open boundary. A control signal concluding the velocity differences of the two vehicles in front is put forward. The condition under which the traffic jam can be contained is analyzed. The results are compared with that presented by Konishi et al [Phys. Rev. 1999 E 60 4000--4007]. The simulation results show that the temporal behavior obtained by our method is better than that by the Konishi's et al. method, although both the methods could suppress the traffic jam. The simulation results are consistent with the theoretical analysis.

Abstract: Based on the pioneer work of Konishi et al, a new control method is presented to suppress the traffic congestion in the coupled map (CM) car-following model under an open boundary. A control signal concluding the velocity differences of the two vehicles in front is put forward. The condition under which the traffic jam can be contained is analyzed. The results are compared with that presented by Konishi et al [Phys. Rev. 1999 E 60 4000--4007]. The simulation results show that the temporal behavior obtained by our method is better than that by the Konishi's et al. method, although both the methods could suppress the traffic jam. The simulation results are consistent with the theoretical analysis.

Key words: traffic flow, the coupled map car-following model, feedback control

中图分类号:  (Granular models of complex systems; traffic flow)

  • 45.70.Vn
02.30.Yy (Control theory)