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Controlling traffic jams by a feedback signal

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  • X. Zhao
  • Z. Gao

Abstract

The aim of this paper is to control the vehicle system to move orderly by a feedback signal in the optimal velocity (OV) model under open boundary. Following the description of the OV model and its stability analysis, some problems about the definition of traffic jams in [12] are presented and illustrated by an example. Based on our analysis, a feedback signal acting on the traffic system has been introduced into the OV model. The signal will act in the system only if the state is inhomogeneous, and it will vanish in the homogeneous traffic flow. Theoretically, it is proved that the disorder state in traffic system could be suppressed by using the control method. Two kinds of noises are tested in our computer simulations. The simulation results demonstrate that the traffic system can move into a homogeneous phase by the control. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • X. Zhao & Z. Gao, 2005. "Controlling traffic jams by a feedback signal," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 43(4), pages 565-572, February.
    • Handle: RePEc:spr:eurphb:v:43:y:2005:i:4:p:565-572
    DOI: 10.1140/epjb/e2005-00091-9
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    Cited by:

    1. Li, Yongfu & Kang, Yuhao & Yang, Bin & Peeta, Srinivas & Zhang, Li & Zheng, Taixong & Li, Yinguo, 2016. "A sliding mode controller for vehicular traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 38-47.
    2. Jafaripournimchahi, Ammar & Cai, Yingfeng & Wang, Hai & Sun, Lu & Yang, Biao, 2022. "Stability analysis of delayed-feedback control effect in the continuum traffic flow of autonomous vehicles without V2I communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    3. Ammar Jafaripournimchahi & Yingfeng Cai & Hai Wang & Lu Sun, 2022. "Environmental Analyses of Delayed-Feedback Control Effects in Continuum-Traffic Flow of Autonomous Vehicles," Sustainability, MDPI, vol. 14(18), pages 1-18, September.
    4. Mohebifard, Rasool & Hajbabaie, Ali, 2019. "Optimal network-level traffic signal control: A benders decomposition-based solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 252-274.
    5. 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).
    6. 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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