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A delayed-feedback control method for the lattice hydrodynamic model caused by the historic density difference effect

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  • Peng, Guanghan
  • Yang, Shuhong
  • Zhao, Hongzhuan

Abstract

A delayed-feedback control pattern is brought forward for lattice hydrodynamic model of traffic flow with the consideration of the historic density difference effect. We utilize the modern control theory to obtain the linear stability conditions with the consideration of feedback control signal, which shows that the stability of traffic flow is closely related to the information of the historic density difference. Furthermore, numerical simulations affirm that the delayed-feedback control signal can suppress the traffic congestion efficiently.

Suggested Citation

  • Peng, Guanghan & Yang, Shuhong & Zhao, Hongzhuan, 2018. "A delayed-feedback control method for the lattice hydrodynamic model caused by the historic density difference effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 855-860.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:855-860
    DOI: 10.1016/j.physa.2018.06.097
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    Citations

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    Cited by:

    1. Madaan, Nikita & Sharma, Sapna, 2022. "Delayed-feedback control in multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    2. Kaur, Daljeet & Sharma, Sapna, 2020. "A new two-lane lattice model by considering predictive effect in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    3. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2019. "An extended car-following model considering driver’s memory and average speed of preceding vehicles with control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 752-761.
    4. Yuan Tang & Yu Xue & Muyang Huang & Qiyun Wen & Bingling Cen & Dong Chen, 2023. "A Lattice Hydrodynamic Model for Four-Way Pedestrian Traffic with Turning Capacity," Sustainability, MDPI, vol. 15(3), pages 1-17, January.
    5. Peng, Guanghan & Jia, Teti & Kuang, Hua & Tan, Huili, 2022. "Energy consumption in a new lattice hydrodynamic model based on the delayed effect of collaborative information transmission under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    6. 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).
    7. Zhai, Cong & Wu, Weitiao & Xiao, Yingping, 2023. "The jamming transition of multi-lane lattice hydrodynamic model with passing effect," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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