Study on stability control of a car-following model with time-varying delay

被引：0
|
作者：
Du W.-J. [1 ]
Li Y.-Z. [1 ]
Zhang J.-G. [2 ]
Yu J.-N. [1 ]
机构：
[1] School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou, 730070, Gansu
[2] School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, 730070, Gansu
来源：
Du, Wen-Ju (duwenjuok@126.com) | 1600年 / South China University of Technology卷 / 37期
基金：
中国国家自然科学基金;
关键词：
Car-following model; Disturbance; Stability control; Synchronization; Traffic engineering; Traffic jams and congestion;
D O I：
10.7641/CTA.2020.90378
中图分类号：
学科分类号：
摘要：
In order to study the traffic jams and congestion and to understand the forming process of traffic congestion and the influence of drivers' own characteristics on the stability of traffic flow. This paper investigated the stability of a timevarying delay optimal velocity car-following model with considering the effect of front and rear vehicles on the basis of synchronization theory of complex network,. By using the Lyapunov stability theory and designing the adaptive controller based on speed and headway distance, the car-following model is quickly stabilized and the stability condition of the model is obtained. In addition, the stability of this model is studied when the vehicle is subjected to external disturbance. Finally, the numerical simulation is carried out by using MATLAB simulation technology, the results show that the time-varying delay optimal velocity car-following model with considering the effect of front and rear vehicles is rapidly stabilizing and congestion phenomenon is effectively alleviated under the controller designed. © 2020, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.
引用
收藏
页码：1481 / 1490
页数：9
相关论文
共 25 条
  • [1] GE H X, MENG X P, MA J, Et al., An improved car-following model considering influence of other factors on traffic jam, Physics Letters A, 377, 1, pp. 9-12, (2012)
  • [2] TANG T Q, LI J G, HUANG H J, Et al., A car-following model with real-time road conditions and numerical tests, Measurement, 48, 1, pp. 63-76, (2014)
  • [3] ZHENG L, JIN P J, HUANG H, Et al., A vehicle type-dependent visual imaging model for analysing the heterogeneous car-following dynamics, Transportmetrica B: Transport Dynamics, 4, 1, pp. 68-85, (2016)
  • [4] ZHENG Y, LEI L, ZHENG P, Et al., A modified car-following model with variable safety distance and its numerical simulation, Asian Journal of Control, 18, 5, pp. 1706-1713, (2016)
  • [5] KURTC V V, ANUFRIEV I E., Car-following model with explicit reaction-time delay: linear stability analysis of a uniform solution on a ring, Mathematical Models and Computer Simulations, 9, 6, pp. 679-687, (2017)
  • [6] SHI Y F, YANG L C., Improved coupled map car-following model considering partial car-to-car communication and its jam analysis, Canadian Journal of Physics, 95, 10, pp. 1096-1102, (2017)
  • [7] ZHANG X, JARRETT D F., Stability analysis of the classical carfollowing model, Transportation Research Part B: Methodological, 31, 6, pp. 441-462, (1997)
  • [8] OROSZ G, KRAUSKOPF B, WILSON R E., Bifurcations and multiple traffic jams in a car-following model with reaction-time delay, Physica D: Nonlinear Phenomena, 211, 3, pp. 277-293, (2004)
  • [9] ZHENG Y M, CHENG R J, GE H X., The feedback control research on straight and curved road with car-following model, Physics Letters A, 381, 27, pp. 2137-2143, (2017)
  • [10] YANG Longhai, ZHAO Shun, XU Hong, Car-following model based on the modified optimal velocity function, Journal of Transportation Systems Engineering and Information Technology, 17, 2, pp. 41-46, (2017)
123