IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v188y2024ics0960077924010312.html
   My bibliography  Save this article

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

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924010312
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115479?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yadav, Sunita & Redhu, Poonam, 2024. "Impact of driving prediction on headway and velocity in car-following model under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    2. Al-Darabsah, Isam & Hsueh, Kuei-Fang & Khalil, Abdelrahman & Al Janaideh, Mohammad & Campbell, Sue Ann & Kundur, Deepa, 2024. "Validation of an autonomous vehicle platoons model with time-varying communication delays," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    3. Li, Yongfu & Zhao, Hang & Zhang, Li & Zhang, Chao, 2018. "An extended car-following model incorporating the effects of lateral gap and gradient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 177-189.
    4. Arockia Samy, Stephen & Anbalagan, Pratap, 2023. "Disturbance observer-based integral sliding-mode control design for leader-following consensus of multi-agent systems and its application to car-following model," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    5. Wagner, Peter & Nippold, Ronald & Gabloner, Sebastian & Margreiter, Martin, 2016. "Analyzing human driving data an approach motivated by data science methods," Chaos, Solitons & Fractals, Elsevier, vol. 90(C), pages 37-45.
    6. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    7. Zhu, Wen-Xing & Zhang, H.M., 2018. "Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 274-285.
    8. Jin, Sheng & Wang, Dianhai & Tao, Pengfei & Li, Pingfan, 2010. "Non-lane-based full velocity difference car following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4654-4662.
    9. Chang, Yinyin & He, Zhiting & Cheng, Rongjun, 2019. "An extended lattice hydrodynamic model considering the driver’s sensory memory and delayed-feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 522-532.
    10. Hou, Lin & Pei, Yulong & He, Qingling, 2023. "A car following model in the context of heterogeneous traffic flow involving multilane following behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    11. Meng, Jingwei & Jin, Yanfei & Xu, Meng, 2023. "Stochastic dynamics of a discrete-time car-following model and its time-delayed feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
    12. Song, Tao & Zhu, Wen-Xing, 2020. "Study on state feedback control strategy for car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    13. Peng, Yong & Liu, Shijie & Yu, Dennis Z., 2020. "An improved car-following model with consideration of multiple preceding and following vehicles in a driver’s view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    14. Zhao, Xiaomei & Gao, Ziyou, 2006. "A control method for congested traffic induced by bottlenecks in the coupled map car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 513-522.
    15. Tang, Yuan & Xue, Yu & Huang, Mu-Yang & Wen, Qi-Yun & Cen, Bing-Ling & Chen, Dong, 2023. "Bifurcation analysis and control strategy for a car-following model considering jerk behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    16. Peng, Guanghan & Yang, Shuhong & Xia, Dongxue & Li, Xiaoqin, 2019. "Delayed-feedback control in a car-following model with the combination of V2V communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    17. Zhang, Xiangzhou & Shi, Zhongke & Yu, Shaowei & Ma, Lijing, 2023. "A new car-following model considering driver’s desired visual angle on sharp curves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    18. Zhu, Wen-Xing & Zhang, Li-Dong, 2014. "A speed feedback control strategy for car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 343-351.
    19. Chen, Yingda & Kong, Dewen & Sun, Lishan & Zhang, Tong & Song, Yongchang, 2022. "Fundamental diagram and stability analysis for heterogeneous traffic flow considering human-driven vehicle driver’s acceptance of cooperative adaptive cruise control vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    20. Ge, Hong-xia & Meng, Xiang-pei & Zhu, Hui-bing & Li, Zhi-Peng, 2014. "Feedback control for car following model based on two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 28-39.
    21. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2019. "A car-following model considering the effect of electronic throttle opening angle over the curved road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    22. Rong, Ying & Wen, Huiying, 2018. "Non-lane-discipline-based car-following model under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 278-293.
    23. Koumene Taffo, G.I. & Siewe Siewe, M. & Tchawoua, C., 2016. "Stability switches and bifurcation in a two-degrees-of-freedom nonlinear quarter-car with small time-delayed feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 226-239.
    24. Song, Tao & Zhu, Wen-Xing, 2022. "Analysis of feed-forward control effect on autonomous driving car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    25. Wang, Jufeng & Sun, Fengxin & Cheng, Rongjun & Ge, Hongxia, 2018. "An extended heterogeneous car-following model with the consideration of the drivers’ different psychological headways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1113-1125.
    26. Wang, Jufeng & Sun, Fengxin & Cheng, Rongjun & Ge, Hongxia, 2018. "An extended car-following model considering the self-stabilizing driving behavior of headway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 347-357.
    27. Wang, Jufeng & Sun, Fengxin & Ge, Hongxia, 2018. "Effect of the driver’s desire for smooth driving on the car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 96-108.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Xingrong & Cai, Jiaxuan & Chen, Fuzhou & Cheng, Rongjun, 2024. "Multimodal vehicle trajectory prediction and integrated threat assessment algorithm based on adaptive driving intention," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jiang, Nan & Yu, Bin & Cao, Feng & Dang, Pengfei & Cui, Shaohua, 2021. "An extended visual angle car-following model considering the vehicle types in the adjacent lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    2. Song, Tao & Zhu, Wen-Xing, 2022. "Analysis of feed-forward control effect on autonomous driving car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    3. Junyan Han & Xiaoyuan Wang & Gang Wang, 2022. "Modeling the Car-Following Behavior with Consideration of Driver, Vehicle, and Environment Factors: A Historical Review," Sustainability, MDPI, vol. 14(13), pages 1-27, July.
    4. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    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, Jufeng & Sun, Fengxin & Ge, Hongxia, 2018. "Effect of the driver’s desire for smooth driving on the car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 96-108.
    7. Yu, Bin & Zhou, Huixin & Wang, Lin & Wang, Zirui & Cui, Shaohua, 2021. "An extended two-lane car-following model considering the influence of heterogeneous speed information on drivers with different characteristics under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    8. Chen, Can & Ge, Hongxia & Cheng, Rongjun, 2019. "Self-stabilizing analysis of an extended car-following model with consideration of expected effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    9. Zhiyong Zhang & Wu Tang & Wenming Feng & Zhen Liu & Caixia Huang, 2024. "An Extended Car-Following Model Considering Lateral Gap and Optimal Velocity of the Preceding Vehicle," Sustainability, MDPI, vol. 16(14), pages 1-20, July.
    10. Li, Shihao & Cheng, Rongjun & Ge, Hongxia, 2020. "An improved car-following model considering electronic throttle dynamics and delayed velocity difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    11. Yadav, Sunita & Redhu, Poonam, 2024. "Impact of driving prediction on headway and velocity in car-following model under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    12. Qi, Weiwei & Ma, Siwei & Fu, Chuanyun, 2023. "An improved car-following model considering the influence of multiple preceding vehicles in the same and two adjacent lanes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P2).
    13. Cui, Bo-Yuan & Zhang, Geng & Ma, Qing-Lu, 2021. "A stable velocity control strategy for a discrete-time car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    14. Wang, Shutong & Zhu, Wen-Xing, 2022. "Modeling the heterogeneous traffic flow considering mean expected velocity field and effect of two-lane communication under connected environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    15. Ren, Weilin & Cheng, Rongjun & Ge, Hongxia, 2021. "Bifurcation analysis for a novel heterogeneous continuum model considering electronic throttle angle changes with memory," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    16. Huimin Liu & Yuhong Wang, 2021. "Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model," Mathematics, MDPI, vol. 9(22), pages 1-13, November.
    17. Zhang, Futao & Qian, Yongsheng & Zeng, Junwei & Xu, Dejie & Li, Haijun, 2023. "Stability and safety analysis of mixed traffic flow considering network function degradation and platoon driving on the road with a slope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    18. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2018. "An extended car-following model under V2V communication environment and its delayed-feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 349-358.
    19. 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.
    20. Shuaiyang Jiao & Shengrui Zhang & Bei Zhou & Zixuan Zhang & Liyuan Xue, 2020. "An Extended Car-Following Model Considering the Drivers’ Characteristics under a V2V Communication Environment," Sustainability, MDPI, vol. 12(4), pages 1-18, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924010312. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.