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Bifurcation and phase transitions in heterogeneous non-lane-discipline-based car-following model integrating cooperative feedback control under automated and human-driven vehicles environment

Author

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  • Peng, Guanghan
  • Wu, Kunning
  • Tan, Huili

Abstract

Automated vehicles (AVs) equipped with adaptive cruise control (ACC) possess different driving performances from human-driven vehicles (HDVs). AVs will have an unusual impact on the traffic flow, especially in non-lane-discipline-based (NLD) environment. Therefore, we create a heterogeneous NLD car-following model (HNLD-CFM) integrating cooperative feedback control under AVs and HDVs environment. The velocity differences between two preceding vehicles and the current vehicle are adopted for the cooperative feedback control signal. The stability condition of the HNLD-CFM is inferred through control theory, which is closely related to the proportion of AVs, lateral separation of vehicles and control signal. Moreover, bifurcation phenomena are been investigated via theory analysis and simulation. Furthermore, numerical simulation clarifies that traffic congestion can be effectively suppressed and energy consumption is reduced by increasing the proportion of AVs and lateral separation of vehicles, besides a control signal.

Suggested Citation

  • Peng, Guanghan & Wu, Kunning & Tan, Huili, 2024. "Bifurcation and phase transitions in heterogeneous non-lane-discipline-based car-following model integrating cooperative feedback control under automated and human-driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924010312
    DOI: 10.1016/j.chaos.2024.115479
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    5. Jin, Can & Qing, Li & Zhu, Meilan & Peng, Guanghan, 2025. "Phase transitions and spectral entropy of heterogeneous vehicles comprised of CAVs and HDVs in flux restriction scenarios," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    6. Peng, Guanghan & Liu, Yuangui & Tan, Huili & Xia, Dongxue & Zhou, Tong, 2025. "Phase transition in lattice hydrodynamic model integrating random anomalous information under connected autonomous vehicles surroundings," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    7. Redhu, Poonam & Mehta, Shubham, 2025. "Exploring visibility effects with flux variations under autonomous and human-driven vehicles environment in heterogeneous lattice model," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    8. Yang, Shuhong & Xia, Dongxue & Peng, Guanghan, 2025. "Jamming transition in hybrid lattice model integrating self-stabilization control under heterogeneous vehicles scenario," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    9. Yadav, Darshana & Siwach, Vikash & Redhu, Poonam, 2025. "The interplay of passing, driver attention, and cyber attack-induced information delays on traffic stability," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    10. Zhao, Hongzhuan & Tang, Yijie & Wang, Yichen & Yuan, Quan & Wang, Tao & Zhou, Dan & Zhang, Yicai & Yang, Liangyi & Xu, Qi & Nong, LiQiao, 2025. "A lattice model of mixed traffic flow based on critical safety potential field and driver vigilance feedback: Numerical simulation of critical safety potential field fluctuations characterizing the effects of vehicle mass and volume differences," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).

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