Nonlinear Dynamics

, Volume 93, Issue 4, pp 1923–1931 | Cite as

An extended continuum model incorporating the electronic throttle dynamics for traffic flow

  • Yongfu LiEmail author
  • Huan Yang
  • Bin Yang
  • Taixiong Zheng
  • Chao Zhang
Original Paper


This study develops a novel continuum model with consideration of the effect of electronic throttle (ET) dynamics to capture the behaviour of vehicles in traffic flow. In particular, the continuum model is proposed by incorporating the opening angle of ET based on the throttle-based full velocity difference model. Theoretical analyses including stability, negative velocity and shock wave are performed systematically. Numerical experiments and comparisons are conducted to verify the performance of the proposed continuum model. Results show that the steady-state performance of the proposed model is improved with respect to the stability. In addition, the proposed model is effective to rapidly dissipate the effect of external perturbation. Also, the phenomenon of negative velocity can be avoided by the proposed model.


Continuum model Electronic throttle Opening angle Stability analysis 



This work is jointly supported by the National Natural Science Foundation of China under Grants 61773082 and 71301095, by the Key Project of Basic Science and Emerging Technology of Chongqing under Grant cstc2017jcyjBX0018, by the Key Project of Crossing and Emerging Area of CQUPT under Grant A2018-02, by the Venture & Innovation Support Program for Chongqing Overseas Returnees under Grant CX2017044, and by the National Key Research and Development Program under Grant 2016YFB0100906. The authors make equal contribution to this paper.


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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, College of AutomationChongqing University of Posts and TelecommunicationsChongqingChina
  2. 2.Industrial IoT Collaborative Innovation Center, College of AutomationChongqing University of Posts and TelecommunicationsChongqingChina
  3. 3.College of Automation and Center for Automotive Electronics and Embedded SystemChongqing University of Posts and TelecommunicationsChongqingChina
  4. 4.Shanghai Key Laboratory of Financial Information TechnologyShanghai University of Finance and EconomicsShanghaiChina

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