Nonlinear Dynamics

, Volume 94, Issue 4, pp 2479–2490 | Cite as

An extended delayed feedback control method for the two-lane traffic flow

  • Ying RongEmail author
  • Huiying Wen
Original Paper


This study extended a delayed feedback control method for the two-lane car-following model. In order to suppress the traffic jams more actually in the two-lane vehicle groups with lane-changing behavior, we introduced the delayed time of receiving the longitudinal and lateral interaction information in the controller into the feedback signals for the control scheme. The stability conditions for different cases were derived, respectively, according to the delayed time by the theory analysis. And the delayed time in the controller was found to instigate the traffic oscillations when the feedback gains were designed improper, which showed that the longer delayed time induces worse traffic jams. The numerical simulation results were found consistent with the theoretical findings as well. Finally, we further presented a comparative study of the proposed control method by a comparison with one existing controller which did not consider the delayed time. And it showed that the delayed time in the controller also affects the traffic flow and performance of control method.


Delayed feedback Delayed time Control method Car-following model Stability analysis 



The study is supported by the National Natural Science Foundation of China (Nos. 51578247, 51378222).


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.School of Automobile and Transportation EngineeringGuangdong Polytechnic Normal UniversityGuangzhouChina
  2. 2.School of Civil Engineering and TransportationSouth China University of TechnologyGuangzhouChina

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