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An extended car-following model accounting for cooperation driving system with velocity uncertainty

Author

Listed:
  • Zhang, Geng
  • Sun, Di-Hua
  • Zhao, Min
  • Liao, Xiao-Yong
  • Liu, Wei-Ning
  • Zhou, Tong

Abstract

In this paper, an extended car-following model accounting for cooperation driving system with vehicle’s velocity uncertainty is proposed based on the full velocity difference car-following model. To analyze the influence of vehicle’s velocity uncertainty on traffic evolution properties, the asymptotic and local stability conditions of the new car-following model are derived respectively by using the stability theory in control theory. Numerical simulation is carried out and it shows that the vehicle’s velocity uncertainty can impact vehicle starting process and the stability of traffic flow importantly.

Suggested Citation

  • Zhang, Geng & Sun, Di-Hua & Zhao, Min & Liao, Xiao-Yong & Liu, Wei-Ning & Zhou, Tong, 2018. "An extended car-following model accounting for cooperation driving system with velocity uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1008-1017.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:1008-1017
    DOI: 10.1016/j.physa.2018.04.028
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    Citations

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    Cited by:

    1. Kaur, Daljeet & Sharma, Sapna & Gupta, Arvind Kumar, 2022. "Analyses of lattice hydrodynamic area occupancy model for heterogeneous disorder traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    2. Yin, Yu-Hang & Lü, Xing & Jiang, Rui & Jia, Bin & Gao, Ziyou, 2024. "Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in ITS," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    3. Peng, Yong & Liu, Shijie & Yu, Dennis Z., 2020. "An improved car-following model with consideration of multiple preceding and following vehicles in a driver’s view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    4. Chen, Jin & Sun, Dihua & Li, Yang & Zhao, Min & Liu, Weining & Jin, Shuang, 2021. "Human–machine cooperative scheme for car-following control of the connected and automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    5. Zhang, Geng & Yin, Le & Pan, Dong-Bo & Zhang, Yu & Cui, Bo-Yuan & Jiang, Shan, 2020. "Research on multiple vehicles’ continuous self-delayed velocities on traffic flow with vehicle-to-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    6. Cui, Bo-Yuan & Zhang, Geng & Ma, Qing-Lu, 2021. "A stable velocity control strategy for a discrete-time car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).

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