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Feedback control for car following model based on two-lane traffic flow

Author

Listed:
  • Ge, Hong-xia
  • Meng, Xiang-pei
  • Zhu, Hui-bing
  • Li, Zhi-Peng

Abstract

In the paper, two-lane traffic flow considering lane changing behaviors has been discussed based on the control theory, and the friction interference which is from the neighbor lane has been taken into account. By using the control method, the stability condition is derived. The feedback signals, which include vehicular information from both lanes, acting on the two-lane traffic system have been introduced into the Full Velocity Difference car-following model. In the end, simulations are conducted to examine the validity and reasonability of the control method. It is proven that lane changing behaviors can aggravate the traffic perturbation. The traffic flow congestion could be suppressed by using the control method and the simulation results are in good agreement with the theoretical analysis.

Suggested Citation

  • Ge, Hong-xia & Meng, Xiang-pei & Zhu, Hui-bing & Li, Zhi-Peng, 2014. "Feedback control for car following model based on two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 28-39.
    • Handle: RePEc:eee:phsmap:v:408:y:2014:i:c:p:28-39
    DOI: 10.1016/j.physa.2014.03.078
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    Citations

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    Cited by:

    1. Zhang, Xiangzhou & Shi, Zhongke & Chen, Jianzhong & Ma, lijing, 2023. "A bi-directional visual angle car-following model considering collision sensitivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    2. Wang, Shutong & Zhu, Wen-Xing, 2022. "Modeling the heterogeneous traffic flow considering mean expected velocity field and effect of two-lane communication under connected environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. Jinhua Tan & Li Gong & Xuqian Qin, 2019. "Effect of Imitation Phenomenon on Two-Lane Traffic Safety in Fog Weather," IJERPH, MDPI, vol. 16(19), pages 1-15, October.
    4. Jiang, Nan & Yu, Bin & Cao, Feng & Dang, Pengfei & Cui, Shaohua, 2021. "An extended visual angle car-following model considering the vehicle types in the adjacent lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    5. Song, Tao & Zhu, Wen-Xing, 2020. "Study on state feedback control strategy for car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    6. Wang, Tao & Zhang, Yuanshu & Zhang, Jing & Li, Zhen & Li, Shubin, 2020. "New feedback control strategy for optimal velocity traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    7. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of social optimum for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 275-283.
    8. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 8-18.
    9. Yu, Bin & Zhou, Huixin & Wang, Lin & Wang, Zirui & Cui, Shaohua, 2021. "An extended two-lane car-following model considering the influence of heterogeneous speed information on drivers with different characteristics under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    10. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    11. 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).
    12. Song, Tao & Zhu, Wen-Xing, 2022. "Analysis of feed-forward control effect on autonomous driving car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    13. Li, Chuan-Yao & Xu, Guang-Ming & Tang, Tie-Qiao, 2018. "Social optimum for evening commute in a single-entry traffic corridor with no early departures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 236-247.

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