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New control strategy for the lattice hydrodynamic model of traffic flow

Author

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  • Zhu, Chenqiang
  • Zhong, Shiquan
  • Li, Guangyu
  • Ma, Shoufeng

Abstract

The new delayed-feedback control strategy is applied for lattice hydrodynamic model of traffic flow by considering the control signal of the variation rate of the optimal velocity. The linear stability condition is derived in the frequency-domain with control theory. Then, different feedback gains under the periodic boundary scenery and on-ramp scenery are simulated. The periodic boundary scenery provides an initial small disturbance situation on the circle road, while the on-ramp scenery reproduces the disturbance triggered by the on-ramp on the open road. Both the theoretical analysis and simulations show that this new control signal has a positive effect to suppress traffic jams.

Suggested Citation

  • Zhu, Chenqiang & Zhong, Shiquan & Li, Guangyu & Ma, Shoufeng, 2017. "New control strategy for the lattice hydrodynamic model of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 445-453.
    • Handle: RePEc:eee:phsmap:v:468:y:2017:i:c:p:445-453
    DOI: 10.1016/j.physa.2016.10.080
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    References listed on IDEAS

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    1. Ge, H.X. & Cheng, R.J. & Li, Z.P., 2008. "Two velocity difference model for a car following theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5239-5245.
    2. Jia, Bin & Jiang, Rui & Wu, Qing-Song & Hu, Mao-bin, 2005. "Honk effect in the two-lane cellular automaton model for traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 544-552.
    3. H. X. Ge & H. B. Zhu & S. Q. Dai, 2006. "Effect of looking backward on traffic flow in a cooperative driving car following model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(4), pages 503-507, December.
    4. Michalopoulos, Panos G. & Yi, Ping & Lyrintzis, Anastasios S., 1993. "Continuum modelling of traffic dynamics for congested freeways," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 315-332, August.
    5. Nagatani, Takashi, 1998. "Modified KdV equation for jamming transition in the continuum models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 599-607.
    6. Hoogendoorn, Serge P. & Bovy, Piet H. L., 2000. "Continuum modeling of multiclass traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 123-146, February.
    7. Zhao, Xiaomei & Gao, Ziyou, 2006. "A control method for congested traffic induced by bottlenecks in the coupled map car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 513-522.
    8. Peng, G.H. & Cai, X.H. & Cao, B.F. & Liu, C.Q., 2012. "A new lattice model of traffic flow with the consideration of the traffic interruption probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 656-663.
    9. Sharma, Sapna, 2015. "Lattice hydrodynamic modeling of two-lane traffic flow with timid and aggressive driving behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 401-411.
    10. Ge, Hong-Xia & Cheng, Rong-Jun, 2008. "The “backward looking” effect in the lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(28), pages 6952-6958.
    11. Zhang, Geng & Sun, Di-hua & Liu, Wei-ning & Zhao, Min & Cheng, Sen-lin, 2015. "Analysis of two-lane lattice hydrodynamic model with consideration of drivers’ characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 16-24.
    12. Wen-Xing Zhu & En-Xian Chi, 2008. "Analysis Of Generalized Optimal Current Lattice Model For Traffic Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(05), pages 727-739.
    13. Fan, Hongqiang & Jia, Bin & Tian, Junfang & Yun, Lifen, 2014. "Characteristics of traffic flow at a non-signalized intersection in the framework of game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 172-180.
    14. Tian, Jun-fang & Yuan, Zhen-zhou & Jia, Bin & Li, Ming-hua & Jiang, Guo-jun, 2012. "The stabilization effect of the density difference in the modified lattice hydrodynamic model of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(19), pages 4476-4482.
    15. I. Prigogine & F. C. Andrews, 1960. "A Boltzmann-Like Approach for Traffic Flow," Operations Research, INFORMS, vol. 8(6), pages 789-797, December.
    16. Liu, Hui & Sun, Dihua & Liu, Weining, 2016. "Lattice hydrodynamic model based traffic control: A transportation cyber–physical system approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 795-801.
    17. Newell, G. F., 2002. "A simplified car-following theory: a lower order model," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 195-205, March.
    18. Daganzo, Carlos F., 1995. "A finite difference approximation of the kinematic wave model of traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 261-276, August.
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    7. Kaur, Ramanpreet & Sharma, Sapna, 2018. "Analyses of lattice hydrodynamic model using delayed feedback control with passing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 446-455.

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