Mathematics (Nov 2021)

An Extended Car-Following Model Based on Visual Angle and Electronic Throttle Effect

  • Hongxia Ge,
  • Siteng Li,
  • Chunyue Yan

DOI
https://doi.org/10.3390/math9222879
Journal volume & issue
Vol. 9, no. 22
p. 2879

Abstract

Read online

With the continuous advancement of electronic technology, auto parts manufacturing institutions are gradually applying electronic throttles to automobiles for precise control. Based on the visual angle model (VAM), a car-following model considering the electronic throttle angle of the preceding vehicle is proposed. The stability conditions are obtained through linear stability analysis. By means of nonlinear analysis, the time-dependent Ginzburg–Landau (TDGL) equation is derived first, and then the modified Korteweg-de-Vries (mKdV) equation is derived. The relationship between the two is thus obtained. Finally, in the process of numerical simulations and exploration, it is shown how the visual angle and electronic throttle affect the stability of traffic flow. The simulation results in MATLAB software verify the validity of the model, indicating that the visual angle and electronic throttle can improve traffic stability.

Keywords