Skip to main content
Log in

Non-lane-discipline-based car-following model incorporating the electronic throttle dynamics under connected environment

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

This study proposes a new car-following model considering the effects of the electronic throttle dynamics to capture the characteristics of connected autonomous vehicular traffic flow without lane discipline. In particular, the proposed model incorporates the effects of both electronic throttle opening angle and lateral gap into the traffic flow model by assuming that the information on electronic throttle dynamics is shared by surrounding vehicles through vehicle-to-vehicle communications. Stability of the proposed model is analyzed using the perturbation method. Numerical experiments analyze three scenarios: start, stop and evolution processes for the scenarios of lane-discipline-based full velocity difference (FVD) model, non-lane-based full velocity difference car-following (NLBCF) model and non-lane-discipline and throttle-based car-following model, respectively. Results from numerical experiments illustrate that the proposed car-following model has a larger stale region compared with the FVD and NLBCF models. In addition, it also demonstrates that the proposed car-following model can better represent the characteristics of connected and autonomous vehicular traffic flow in terms of the responsiveness, smoothness and stability with respect to the position, velocity, acceleration/deceleration and space headway profiles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Guler, S.I., Menendez, M., Meier, L.: Using connected vehicle technology to improve the efficiency of intersections. Transp. Res. C Emerg. Technol. 46, 121–131 (2014)

    Article  Google Scholar 

  2. Ge, J., Orosz, G.: Dynamics of connected vehicle systems with delayed acceleration feedback. Transp. Res. C Emerg. Technol. 46, 46–64 (2014)

    Article  Google Scholar 

  3. Li, Y., Zhang, L., Peeta, S., He, X., Zheng, T., Li, Y.: A car-following model considering the effect of electronic throttle opening angle under connected environment. Nonlinear Dyn. 85(4), 2115–2125 (2016)

    Article  Google Scholar 

  4. Ioannou, P., Xu, Z.: Throttle and brake control system for automatic vehicle following. Intell. Veh. Highw. Syst. J. 1, 345–377 (1994)

    Google Scholar 

  5. Li, Y., Yang, B., Zheng, T., Li, Y., Cui, M., Peeta, S.: Extended-state-observer-based double loop integral sliding mode control of electronic throttle valve. IEEE Trans. Intell. Transp. Syst. 16, 2501–2510 (2015)

    Article  Google Scholar 

  6. Chandra, S., Kumar, U.: Effect of lane width on capacity under mixed traffic conditions in India. J. Transp. Eng. 129(2), 155–160 (2003)

    Article  Google Scholar 

  7. Gunay, B.: Car following theory with lateral discomfort. Transp. Res. B Methodol. 41(7), 722–735 (2007)

    Article  Google Scholar 

  8. Yu, S., Shi, Z.: The effects of vehicular gap changes with memory on traffic flow in cooperative adaptive cruise control strategy. Physica A 428, 206–223 (2015)

    Article  Google Scholar 

  9. Li, Y., Zhang, L., Zhang, B., Zheng, T., Feng, H., Li, Y.: Non-lane-discipline-based car-following model considering the effect of visual angle. Nonlinear Dyn. 85(3), 1901–1912 (2016)

    Article  Google Scholar 

  10. Wilson, R., Ward, J.: Car-following models: fifty years of linear stability analysis—a mathematical perspective. Transp. Plan. Technol. 34(1), 3–18 (2011)

    Article  Google Scholar 

  11. Li, Y., Sun, D.: Microscopic car-following model for the traffic flow: the state of the art. J. Control Theory Appl. 10(2), 133–143 (2012)

    Article  MathSciNet  Google Scholar 

  12. Saifuzzaman, M., Zheng, Z.: Incorporating human-factors in car-following models: a review of recent developments and research needs. Transp. Res. C 48, 379–403 (2014)

    Article  Google Scholar 

  13. Gipps, P.: A behavioral car-following model for computer simulation. Transp. Res. B Methodol. 15(2), 105–111 (1981)

    Article  Google Scholar 

  14. Bando, M., Hasebe, K., Nakayama, A., Shibata, A., Sugiyama, Y.: Dynamics model of traffic congestion and numerical simulation. Phys. Rev. E 51(2), 1035–1042 (1995)

    Article  MATH  Google Scholar 

  15. Helbing, D., Tilch, B.: Generalized force model of traffic dynamics. Phys. Rev. E 58, 133–138 (1998)

    Article  Google Scholar 

  16. Jiang, R., Wu, Q., Zhu, Z.: Full velocity difference model for a car-following theory. Phys. Rev. E 64, 017101–017105 (2001)

    Article  Google Scholar 

  17. Zhao, X., Gao, Z.: A new car-following model: full velocity and acceleration difference model. Eur. Phys. J. B 47(1), 145–150 (2005)

    Article  Google Scholar 

  18. Wang, T., Gao, Z., Zhao, X.: Multiple velocity difference model and its stability analysis. Acta Phys. Sin. 55, 634–640 (2006)

    Google Scholar 

  19. Sun, D., Li, Y., Tian, C.: Car-following model based on the information of multiple ahead & velocity difference. Syst. Eng. Theory Pract. 30(7), 1326–1332 (2010)

    Google Scholar 

  20. Li, Y., Sun, D., Liu, W., Zhang, M., Zhao, M., Liao, X., Tang, L.: Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference. Nonlinear Dyn. 66(1), 15–28 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  21. Tang, T., Wang, Y., Yang, X., Wu, Y.: A new car-following model accounting for varying road condition. Nonlinear Dyn. 70(2), 1397–1405 (2012)

    Article  MathSciNet  Google Scholar 

  22. Tang, T., Shi, W., Shang, H., Wang, Y.: A new car-following model with consideration of inter-vehicle communication. Nonlinear Dyn. 76, 2017–2023 (2014)

    Article  Google Scholar 

  23. Tang, T., Shi, W., Shang, H., Wang, Y.: An extended car-following model with consideration of the reliability of inter-vehicle communication. Measurement 58, 286–293 (2014)

    Article  Google Scholar 

  24. Li, Y., Zhang, L., Zheng, H., He, X., Peeta, S., Zheng, T., Li, Y.: Non-lane-discipline-based car-following model for electric vehicles in transportation-cyber-physical-systems. IEEE Trans. Intell. Transp. Syst. (2017). doi:10.1109/TITS.2017.2691472

  25. Jin, S., Wang, D., Tao, P., Li, P.: Non-lane-based full velocity difference car following model. Physica A 389(21), 4654–4662 (2010)

    Article  Google Scholar 

  26. Li, Y., Zhang, L., Peeta, S., Pan, H., Zheng, T., Li, Y., He, X.: Non-lane-discipline-based car-following model considering the effects of two-sided lateral gaps. Nonlinear Dyn. 80(1–2), 227–238 (2015)

    Article  MATH  Google Scholar 

  27. Li, Y., Zhang, L., Zheng, H., He, X., Peeta, S., Zheng, T., Li, Y.: Evaluating the energy consumption of electric vehicles based on car-following model under non-lane discipline. Nonlinear Dyn. 82(1), 1–13 (2015)

    Google Scholar 

Download references

Acknowledgements

This work is jointly supported by the National Natural Science Foundation of China under Grant 61773082,61304197 and 61503053, by the Key Project of Basic Science and Emerging Technology of Chongqing under Grant cstc2017jcyjBX0018, by the National Key Research and Development Program under Grant 2016YFB0100906 and the Doctoral Start-up Funds of CQUPT under Grant no. A2012-26.

Open Access

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yongfu Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, Y., Zhao, H., Zheng, T. et al. Non-lane-discipline-based car-following model incorporating the electronic throttle dynamics under connected environment. Nonlinear Dyn 90, 2345–2358 (2017). https://doi.org/10.1007/s11071-017-3807-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-017-3807-4

Keywords

Navigation