A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic Model

Abstract

Based on the common existence of the mixed road, a switched controller with consideration of the difference between estimation optimal and current flux (EOCFD) is presented in the lattice hydrodynamic model of traffic flow. Based on the Hurwitz criteria and the $H_{\infty }$ -norm, stability conditions for the curved road and straight road scenarios are obtained with the transfer functions $G_{0}$ and $G_{1}$ respectively. By analyzing the Bode-plot of transfer functions $G_{0}$ and $G_{1}$ , stability analysis is performed with the feedback gain $k$ , the radian $\theta _{j}$ and the curvature radius $R$ . These theoretical results indicate that the switched control scheme prompts the traffic flow to be more stable in both curved and straight roads. Compared with Cheng’s model, numerical simulations with multiple perturbations confirm that the switched control scheme can further suppress the traffic congestion with a lower feedback gain on mixed road.

Keywords

• Switched control
• mixed road
• lattice hydrodynamic model
• traffic flow