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Robust H-infinity control for connected vehicles in lattice hydrodynamic model at highway tunnel

Author

Listed:
  • Zhang, Yicai
  • Zhao, Min
  • Sun, Dihua
  • Liu, Xiaoyu
  • Huang, Shuai
  • Chen, Dong

Abstract

In this paper, a macro hydrodynamic model suitable for tunnel traffic in the network environment is proposed. Firstly, according to the characteristics of tunnel traffic, we establish the corresponding lattice hydrodynamics model, and design the corresponding control strategy according to the information obtained by connected vehicles. Through the theoretical analysis, the internal stability conditions of the traffic system are obtained. After the external disturbance caused by the tunnel is considered, a robust H-infinity (H∞) control strategy is proposed, and the corresponding robust stability conditions are obtained. The string stability is also studied to ensure that the instantaneous disturbance is not amplified. Numerical simulation compares the evolution of the traffic system with and without control. The results reflect that the control strategy proposed in this paper can effectively maintain the stability of tunnel traffic system.

Suggested Citation

  • Zhang, Yicai & Zhao, Min & Sun, Dihua & Liu, Xiaoyu & Huang, Shuai & Chen, Dong, 2022. "Robust H-infinity control for connected vehicles in lattice hydrodynamic model at highway tunnel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    • Handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122004691
    DOI: 10.1016/j.physa.2022.127710
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    References listed on IDEAS

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    1. 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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