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Study on state feedback control strategy for car-following system

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  • Song, Tao
  • Zhu, Wen-Xing

Abstract

A state feedback control strategy of modern control theory is proposed to analyze the classical car-following system. From the point of view of control theory, the influence of changing two important states velocity and headway on the stability of the car-following system is analyzed. The stability conditions of the control parameters are obtained by the conditions for roots of characteristic polynomials and the small gain theorem in the control theory. A dynamical car-following model is derived by the state feedback control method. Simulation experiments are conducted to verify the state feedback control strategy on traffic flow stability by the new model under the conditions of open boundary and periodic boundary respectively. The simulation results show that with the increase of the influence coefficient, the stability of the traffic flow system is enhanced, and the simulation results are consistent with the theoretical analysis results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:558:y:2020:i:c:s037843712030488x
    DOI: 10.1016/j.physa.2020.124938
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    References listed on IDEAS

    as
    1. Tang, Tie-Qiao & Shi, Wei-Fang & Huang, Hai-Jun & Wu, Wen-Xiang & Song, Ziqi, 2019. "A route-based traffic flow model accounting for interruption factors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 767-785.
    2. Liao, Peng & Tang, Tie-Qiao & Wang, Tao & Zhang, Jian, 2019. "A car-following model accounting for the driving habits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 108-118.
    3. Peng, Guanghan & Kuang, Hua & Qing, Li, 2018. "Feedback control method in lattice hydrodynamic model under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 651-656.
    4. Shiro Sawada, 2002. "Generalized Optimal Velocity Model For Traffic Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 1-12.
    5. Peng, Guanghan & Bai, Kezhao & Kuang, Hua, 2019. "Feedback control caused by honk effect incorporating the driver’s characteristics in lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    6. Peng, Guanghan & Kuang, Hua & Zhao, Hongzhuan & Qing, Li, 2019. "Nonlinear analysis of a new lattice hydrodynamic model with the consideration of honk effect on flux for two-lane highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 93-101.
    7. Zhang, Li-Dong & Zhu, Wen-Xing & Liu, Jian-lei, 2014. "Proportional–differential effects in traffic car-following model system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 89-99.
    8. Peng, Guanghan & Kuang, Hua & Qing, Li, 2018. "A new lattice model of traffic flow considering driver’s anticipation effect of the traffic interruption probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 374-380.
    9. Zhu, Wen-Xing & Zhang, H.M., 2018. "Analysis of feedback control scheme on discrete car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 322-330.
    10. G. F. Newell, 1961. "Nonlinear Effects in the Dynamics of Car Following," Operations Research, INFORMS, vol. 9(2), pages 209-229, April.
    11. Peng, Guanghan & Kuang, Hua & Bai, Kezhao, 2019. "The impact of the individual difference on traffic flow under honk environment in lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    12. Zhu, Wen-Xing & Zhang, Li-Dong, 2014. "A speed feedback control strategy for car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 343-351.
    13. Tang, Tie-Qiao & He, Jia & Yang, Shi-Chun & Shang, Hua-Yan, 2014. "A car-following model accounting for the driver’s attribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 583-591.
    14. Tang, Tie-Qiao & Zhang, Jian & Liu, Kai, 2017. "A speed guidance model accounting for the driver’s bounded rationality at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 45-52.
    15. 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.
    16. Zhu, Wen-Xing & Zhang, Li-Dong, 2016. "Analysis of car-following model with cascade compensation strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 265-274.
    17. Nagatani, Takashi, 2009. "Traffic states and fundamental diagram in cellular automaton model of vehicular traffic controlled by signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1673-1681.
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    Cited by:

    1. Wang, Shu-Tong & Zhu, Wen-Xing & Ma, Xiao-Long, 2023. "Mixed traffic system with multiple vehicle types and autonomous vehicle platoon: Modeling, stability analysis and control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    2. 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).

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