A control method applied to mixed traffic flow for the coupled-map car-following model

doi:10.1088/1674-1056/23/3/030507

Abstract In light of previous work [Phys. Rev. E 60 4000 (1999)], a modified coupled-map car-following model is proposed by considering the headways of two successive vehicles in front of a considered vehicle described by the optimal velocity function. The non-jam conditions are given on the basis of control theory. Through simulation, we find that our model can exhibit a better effect as p=0.65, which is a parameter in the optimal velocity function. The control scheme, which was proposed by Zhao and Gao, is introduced into the modified model and the feedback gain range is determined. In addition, a modified control method is applied to a mixed traffic system that consists of two types of vehicle. The range of gains is also obtained by theoretical analysis. Comparisons between our method and that of Zhao and Gao are carried out, and the corresponding numerical simulation results demonstrate that the temporal behavior of traffic flow obtained using our method is better than that proposed by Zhao and Gao in mixed traffic systems.

Keywords: traffic flow coupled-map car-following model optimal velocity function feedback control scheme system

Received: 09 August 2013
Revised: 18 September 2013
Accepted manuscript online:

PACS:	05.60.-k	(Transport processes)
	05.65.+k
	11.90.+t	(Other topics in general theory of fields and particles)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11372166, 11372147, 61074142, and 11072117), the Scientific Research Fund of Zhejiang Province, China (Grant No. LY13A010005), the Disciplinary Project of Ningbo City, China (Grant No. SZXL1067), the K. C. Wong Magna Fund in Ningbo University, China, and the Government of the Hong Kong Administrative Region, China (Grant No. 119011).

Corresponding Authors: Ge Hong-Xia
E-mail: gehongxia@nbu.edu.cn

Cite this article:

Cheng Rong-Jun (程荣军), Han Xiang-Lin (韩祥临), Lo Siu-Ming (卢兆明), Ge Hong-Xia (葛红霞) A control method applied to mixed traffic flow for the coupled-map car-following model 2014 Chin. Phys. B 23 030507

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A control method applied to mixed traffic flow for the coupled-map car-following model

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