Please wait a minute...
Chin. Phys. B, 2011, Vol. 20(9): 090502    DOI: 10.1088/1674-1056/20/9/090502
GENERAL Prev   Next  

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

Ge Hong-Xia(葛红霞)
Faculty of Science, Ningbo University, Ningbo 315211, China
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.
Keywords:  traffic flow      coupled map car-following model      optimal velocity function      delayed feedback control  
Received:  06 December 2010      Revised:  01 June 2011      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  

Cite this article: 

Ge Hong-Xia(葛红霞) Modified coupled map car-following model and its delayed feedback control scheme 2011 Chin. Phys. B 20 090502

[1] Newell G F 1961 Oper. Res. 9 209
[2] Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035
[3] Helbing D and Tilch B 1998 Phys. Rev. E 58 133
[4] Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E 64 017101
[5] Ge H X, Dai S Q, Dong L Y and Xue Y 2004 Phys. Rev. E 70 066134
[6] Ge H X, Cheng R J and Li Z P 2008 Physica A 387 5239
[7] Konishi K J, Kokame H and Hirata K 1999 Phys. Rev. E 60 4000
[8] Zhao X M and Gao Z Y 2006 Physica A 366 513
[9] Han X L, Jiang C Y, Ge H X and Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese)
[10] Shen F Y, Zhang H, Ge H X, Yu H M and Lei L 2009 Chin. Phys. B 18 4208
[11] Yu H M, Cheng R J and Ge H X 2010 Commun. Theor. Phys. 54 117
[1] A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment
Guang-Han Peng(彭光含), Chun-Li Luo(罗春莉), Hong-Zhuan Zhao(赵红专), and Hui-Li Tan(谭惠丽). Chin. Phys. B, 2023, 32(1): 018902.
[2] Traffic flow of connected and automated vehicles at lane drop on two-lane highway: An optimization-based control algorithm versus a heuristic rules-based algorithm
Huaqing Liu(刘华清), Rui Jiang(姜锐), Junfang Tian(田钧方), and Kaixuan Zhu(朱凯旋). Chin. Phys. B, 2023, 32(1): 014501.
[3] A novel car-following model by sharing cooperative information transmission delayed effect under V2X environment and its additional energy consumption
Guang-Han Peng(彭光含), Te-Ti Jia(贾特提), Hua Kuang(邝华), Hui-Li Tan(谭惠丽), and Tao Chen(陈陶). Chin. Phys. B, 2022, 31(5): 058901.
[4] Traffic flow prediction based on BILSTM model and data denoising scheme
Zhong-Yu Li(李中昱), Hong-Xia Ge(葛红霞), and Rong-Jun Cheng(程荣军). Chin. Phys. B, 2022, 31(4): 040502.
[5] Modeling the heterogeneous traffic flow considering the effect of self-stabilizing and autonomous vehicles
Yuan Gong(公元) and Wen-Xing Zhu(朱文兴). Chin. Phys. B, 2022, 31(2): 024502.
[6] Modeling and analysis of car-following behavior considering backward-looking effect
Dongfang Ma(马东方), Yueyi Han(韩月一), Fengzhong Qu(瞿逢重), and Sheng Jin(金盛). Chin. Phys. B, 2021, 30(3): 034501.
[7] CO2 emission control in new CM car-following model with feedback control of the optimal estimation of velocity difference under V2X environment
Guang-Han Peng(彭光含), Rui Tang(汤瑞), Hua Kuang(邝华), Hui-Li Tan(谭惠丽), and Tao Chen(陈陶). Chin. Phys. B, 2021, 30(10): 108901.
[8] A new car-following model with driver's anticipation effect of traffic interruption probability
Guang-Han Peng(彭光含). Chin. Phys. B, 2020, 29(8): 084501.
[9] A macroscopic traffic model based on weather conditions
Zawar H. Khan, Syed Abid Ali Shah, T. Aaron Gulliver. Chin. Phys. B, 2018, 27(7): 070202.
[10] A new control method based on the lattice hydrodynamic model considering the double flux difference
Shunda Qin(秦顺达), Hongxia Ge(葛红霞), Rongjun Cheng(程荣军). Chin. Phys. B, 2018, 27(5): 050503.
[11] Traffic flow velocity disturbance characteristics and control strategy at the bottleneck of expressway
Jun-Wei Zeng(曾俊伟), Yong-Sheng Qian(钱勇生), Xu-Ting Wei(魏谞婷), Xiao Feng(冯骁). Chin. Phys. B, 2018, 27(12): 124502.
[12] Coordinated chaos control of urban expressway based on synchronization of complex networks
Ming-bao Pang(庞明宝), Yu-man Huang(黄玉满). Chin. Phys. B, 2018, 27(11): 118902.
[13] Stability analysis of traffic flow with extended CACC control models
Ya-Zhou Zheng(郑亚周), Rong-Jun Cheng(程荣军), Siu-Ming Lo(卢兆明), Hong-Xia Ge(葛红霞). Chin. Phys. B, 2016, 25(6): 060506.
[14] A new traffic model on compulsive lane-changing caused by off-ramp
Xiao-He Liu(刘小禾), Hung-Tang Ko(柯鸿堂), Ming-Min Guo(郭明旻), Zheng Wu(吴正). Chin. Phys. B, 2016, 25(4): 048901.
[15] A new cellular automata model of traffic flow with negative exponential weighted look-ahead potential
Xiao Ma(马骁), Wei-Fan Zheng(郑伟范), Bao-Shan Jiang(江宝山), Ji-Ye Zhang(张继业). Chin. Phys. B, 2016, 25(10): 108902.
No Suggested Reading articles found!