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A sliding mode controller for vehicular traffic flow

Author

Listed:
  • Li, Yongfu
  • Kang, Yuhao
  • Yang, Bin
  • Peeta, Srinivas
  • Zhang, Li
  • Zheng, Taixong
  • Li, Yinguo

Abstract

This study proposes a sliding mode controller for vehicular traffic flow based on a car-following model to enhance the smoothness and stability of traffic flow evolution. In particular, the full velocity difference (FVD) model is used to capture the characteristics of vehicular traffic flow. The proposed sliding mode controller is designed in terms of the error between the desired space headway and the actual space headway. The stability of the controller is guaranteed using the Lyapunov technique. Numerical experiments are used to compare the performance of sliding mode control (SMC) with that of feedback control. The results illustrate the effectiveness of the proposed SMC method in terms of the distribution smoothness and stability of the space headway, velocity, and acceleration profiles. They further illustrate that the SMC strategy is superior to that of the feedback control strategy, while enabling computational efficiency that can aid in practical applications.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:462:y:2016:i:c:p:38-47
    DOI: 10.1016/j.physa.2016.06.053
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    References listed on IDEAS

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    1. Tang, Tie-Qiao & Li, Jin-Gang & Yang, Shi-Chun & Shang, Hua-Yan, 2015. "Effects of on-ramp on the fuel consumption of the vehicles on the main road under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 293-300.
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    4. Tang, Tie-Qiao & Chen, Liang & Yang, Shi-Chun & Shang, Hua-Yan, 2015. "An extended car-following model with consideration of the electric vehicle’s driving range," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 148-155.
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    Cited by:

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    2. Zhou, Tong & Chen, Dong & Zheng, Linjiang & Liu, Weining & He, Yuchu & Liu, Zhongcheng, 2018. "Feedback-based control for coupled map car-following model with time delays on basis of linear discrete-time system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 174-185.
    3. Hu, Xiaojian & Lin, Chenxi & Hao, Xiatong & Lu, RuiYing & Liu, TengHui, 2021. "Influence of tidal lane on traffic breakdown and spatiotemporal congested patterns at moving bottleneck in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    4. 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).
    5. Cheng, Anyu & Jiang, Xiao & Li, Yongfu & Zhang, Chao & Zhu, Hao, 2017. "Multiple sources and multiple measures based traffic flow prediction using the chaos theory and support vector regression method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 422-434.

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