Feedback control for car following model based on two-lane traffic flow

• Two-lane traffic flow has been discussed based on the control theory.
• The friction interference which is from the neighbor lane has been taken into account.
• The feedback signals have been introduced into the model.
• Simulations are conducted to examine the validity and reasonability of the control method.

In the paper, two-lane traffic flow considering lane changing behaviors has been discussed based on the control theory, and the friction interference which is from the neighbor lane has been taken into account. By using the control method, the stability condition is derived. The feedback signals, which include vehicular information from both lanes, acting on the two-lane traffic system have been introduced into the Full Velocity Difference car-following model. In the end, simulations are conducted to examine the validity and reasonability of the control method. It is proven that lane changing behaviors can aggravate the traffic perturbation. The traffic flow congestion could be suppressed by using the control method and the simulation results are in good agreement with the theoretical analysis.