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Stability analysis in a car-following model with reaction-time delay and delayed feedback control

Author

Listed:
  • Jin, Yanfei
  • Xu, Meng

Abstract

The delayed feedback control in terms of both headway and velocity differences has been proposed to guarantee the stability of a car-following model including the reaction-time delay of drivers. Using Laplace transformation and transfer function, the stable condition is derived and appropriate choices of time delay and feedback gains are designed to stabilize traffic flow. Meanwhile, an upper bound on explicit time delay is determined with respect to the response of desired acceleration. To ensure the string stability, the explicit time delay cannot over its upper bound. Numerical simulations indicate that the proposed control method can restraint traffic congestion and improve control performance.

Suggested Citation

  • Jin, Yanfei & Xu, Meng, 2016. "Stability analysis in a car-following model with reaction-time delay and delayed feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 107-116.
    • Handle: RePEc:eee:phsmap:v:459:y:2016:i:c:p:107-116
    DOI: 10.1016/j.physa.2016.04.038
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    Citations

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    Cited by:

    1. Wang, Jufeng & Zhou, MengChu & Liu, Chunfeng, 2018. "Stochastic stability of Markovian jump linear systems over networks with random quantization density and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1128-1139.
    2. Yongjiang-Wang, & Han-Song, & Rongjun-Cheng,, 2019. "TDGL and mKdV equations for an extended car-following model with the consideration of driver’s memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 440-449.
    3. Li, Wei-Hong & Huang, Hai-Jun & Shang, Hua-Yan, 2020. "Dynamic equilibrium commuting in a multilane system with ridesharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    4. Ge, Hongxia & Lin, Lizhen & Cheng, Rongjun, 2023. "Modeling and stabilization control for heterogeneous traffic flow model considering cyberattacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    5. Yang, Qiaoli & Shi, Zhongke, 2018. "Effects of the design of waiting areas on the dynamic behavior of queues at signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 181-195.
    6. Tan, Jin-hua, 2019. "Impact of risk illusions on traffic flow in fog weather," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 216-222.
    7. Yang, Qiaoli & Shi, Zhongke, 2018. "The evolution process of queues at signalized intersections under batch arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 413-425.
    8. 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).
    9. Wang, Pengcheng & Yu, Guizhen & Wu, Xinkai & Qin, Hongmao & Wang, Yunpeng, 2018. "An extended car-following model to describe connected traffic dynamics under cyberattacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 351-370.

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