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Stability Analysis and Control of an Extended Car-Following Model under Honk Environment

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Abstract

In order to study the traffic jams and congestion and to understand the forming process of traffic congestion. On the basis of synchronization theory of complex network, this paper investigated the stability of an extended car-following model under honk environment. By using the Lyapunov stability theory and designing the appropriate controller, the car-following model is quickly stabilized and the stability condition of the model is obtained. In addition, the stability of the extended car-following model under honk environment is studied when the vehicle is subjected to external disturbance. Finally, the effects of the designed controller on the stability of the extended car-following model under honk environment and the influence of honk effect on the traffic flow are verified by using the Matlab simulation technology. The conclusions of this paper can provide a theoretical reference for the prevention and control of traffic congestion.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 61863022, 11962012), Natural Science Foundation of Gansu Province (No. 20JR5RA422), Lanzhou Jiaotong University Youth Scientific Research Fund Project (No. 2018020).

Conflict of Interest

The authors declare that they have no conflicts of interest.

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Authors and Affiliations

  1. School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou, 730070, China

    Wenju Du & Yinzhen Li

  2. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, 730070, China

    Jiangang Zhang

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  1. Wenju Du
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  2. Yinzhen Li
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  3. Jiangang Zhang
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Correspondence to Wenju Du.

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Du, W., Li, Y. & Zhang, J. Stability Analysis and Control of an Extended Car-Following Model under Honk Environment. Int. J. ITS Res. 20, 1–10 (2022). https://doi.org/10.1007/s13177-021-00267-0

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  • DOI: https://doi.org/10.1007/s13177-021-00267-0

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