中国物理B ›› 2011, Vol. 20 ›› Issue (9): 90502-090502.doi: 10.1088/1674-1056/20/9/090502

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Modified coupled map car-following model and its delayed feedback control scheme

葛红霞   

  1. Faculty of Science, Ningbo University, Ningbo 315211, China
  • 收稿日期:2010-12-06 修回日期:2011-06-01 出版日期:2011-09-15 发布日期:2011-09-15

Modified coupled map car-following model and its delayed feedback control scheme

Ge Hong-Xia(葛红霞)†   

  1. Faculty of Science, Ningbo University, Ningbo 315211, China
  • Received:2010-12-06 Revised:2011-06-01 Online:2011-09-15 Published:2011-09-15

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摘要： A modified coupled map car-following model is proposed, in which two successive vehicle headways in front of the considering vehicle is incorporated into the optimal velocity function. The steady state under certain conditions is obtained. An error system around the steady state is studied further. Moreover, the condition for the state having no traffic jam is derived. A new control scheme is presented to suppress the traffic jam in the modified coupled map car-following model under the open boundary. A control signal including the velocity differences between the following and the considering vehicles, and between the preceding and the considering vehicles is used. The condition under which the traffic jam can be well suppressed is analysed. The results are compared with that presented by Konishi et al. (the KKH model). The simulation results show that the temporal behaviour obtained in our model is better than that in the KKH model. The simulation results are in good agreement with the theoretical analysis.

Abstract: A modified coupled map car-following model is proposed, in which two successive vehicle headways in front of the considering vehicle is incorporated into the optimal velocity function. The steady state under certain conditions is obtained. An error system around the steady state is studied further. Moreover, the condition for the state having no traffic jam is derived. A new control scheme is presented to suppress the traffic jam in the modified coupled map car-following model under the open boundary. A control signal including the velocity differences between the following and the considering vehicles, and between the preceding and the considering vehicles is used. The condition under which the traffic jam can be well suppressed is analysed. The results are compared with that presented by Konishi et al. (the KKH model). The simulation results show that the temporal behaviour obtained in our model is better than that in the KKH model. The simulation results are in good agreement with the theoretical analysis.

Key words: traffic flow, coupled map car-following model, optimal velocity function, delayed feedback control

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a