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The control method for the multi-phase traffic model

Author

Listed:
  • Yi Liu

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China†Jiangsu Province Collaborative Innovation Center for Modern, Urban Traffic Technologies, Nanjing 210096, P. R. China‡National Traffic Management Engineering and Technology Research, Center, Ningbo University Sub-center, Ningbo 315211, P. R. China)

  • Rong-Jun Cheng

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China†Jiangsu Province Collaborative Innovation Center for Modern, Urban Traffic Technologies, Nanjing 210096, P. R. China‡National Traffic Management Engineering and Technology Research, Center, Ningbo University Sub-center, Ningbo 315211, P. R. China)

  • Yan-Qiang Ma

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China)

  • Hong-Xia Ge

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China†Jiangsu Province Collaborative Innovation Center for Modern, Urban Traffic Technologies, Nanjing 210096, P. R. China‡National Traffic Management Engineering and Technology Research, Center, Ningbo University Sub-center, Ningbo 315211, P. R. China)

Abstract

Based on multi-phase car-following model proposed by Nagatani, the control theory method is used to analyze the stability of the model. The optimal velocity function is improved to have more turning points. The original optimal velocity with one turning point shows two-phase traffic, while the improved model with n turning points exhibits n+1 phase traffic. Control signal is added into the model. Numerical simulation is conducted to show the results for the stability of the model with and without control signal.

Suggested Citation

  • Yi Liu & Rong-Jun Cheng & Yan-Qiang Ma & Hong-Xia Ge, 2016. "The control method for the multi-phase traffic model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(10), pages 1-8, October.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:10:n:s0129183116501114
    DOI: 10.1142/S0129183116501114
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    Cited by:

    1. 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).

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