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Chin. Phys. B, 2009, Vol. 18(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

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)
a Faculty of Science, Ningbo University, Ningbo 315211, China; b School of Energy and Power Engineering, Shandong University, Jinan 250061, China
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.
Keywords:  traffic flow      the coupled map car-following model      feedback control  
Received:  19 February 2009      Revised:  03 April 2009      Accepted manuscript online: 
PACS:  45.70.Vn (Granular models of complex systems; traffic flow)  
  02.30.Yy (Control theory)  
Fund: 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

Cite this article: 

Shen Fei-Ying(沈飞英), Ge Hong-Xia(葛红霞), Zhang Hui(张辉), Yu Han-Mei(余寒梅), and Lei Li(雷丽) A control method for congested traffic in the coupled map car-following model 2009 Chin. Phys. B 18 4208

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