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Analyses of lattice hydrodynamic model using delayed feedback control with passing

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  • Kaur, Ramanpreet
  • Sharma, Sapna

Abstract

Delayed feedback control method is used for one dimensional lattice model by incorporating the effect of passing. In order to check the stability of system under control theory Hurwitz criteria is used and H∞ norm of transfer functions are obtained. The efficiency of control signal in minimizing the jamming transitions due to passing, is shown through Bode plot. The results show that the control parameter helps in reducing congestion and makes the flow stable even at higher rate of passing. Simulations are carried out and are found in good agreement with theoretical results.

Suggested Citation

  • Kaur, Ramanpreet & Sharma, Sapna, 2018. "Analyses of lattice hydrodynamic model using delayed feedback control with passing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 446-455.
    • Handle: RePEc:eee:phsmap:v:510:y:2018:i:c:p:446-455
    DOI: 10.1016/j.physa.2018.06.118
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    References listed on IDEAS

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    Citations

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    Cited by:

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    2. Zhai, Cong & Zhang, Ronghui & Peng, Tao & Zhong, Changfu & Xu, Hongguo, 2023. "Heterogeneous lattice hydrodynamic model and jamming transition mixed with connected vehicles and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    3. Zhai, Cong & Wu, Weitiao & Xiao, Yingping & Luo, Qiang & Zhang, Yusong, 2022. "Modeling bidirectional pedestrian flow with the perceived uncertainty of preceding pedestrian information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    4. Verma, Muskan & Sharma, Sapna, 2022. "Chaotic jam and phase transitions in a lattice model with density dependent passing," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    5. Zhang, Yu & Wang, Sha & Pan, Dong-bo & Zhang, Geng, 2021. "Stability analysis for a new lattice hydrodynamic model with time-varying delay in sensing traffic flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    6. Wen Huan Ai & Ming Ming Wang & Da Wei Liu, 2024. "Saddle-node bifurcation control of macroscopic traffic flow model considering vehicle braking effect," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(5), pages 1-13, May.
    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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