State feedback control of T-shaped pedestrian channel

Pedestrians evacuation is key to improve the traffic efficiency and guarantee the safety of pedestrians in high density area, which have been widely concerned by scholars. This paper establishes a macroscopic model for T-shaped channel consisting of some corridors and nodes, which is very common in real traffic system. Then, with the goal of avoiding congestion and maximizing the pedestrian flow of the whole model, a feedback controller is designed and the stability of the system is analyzed. Finally, the stability range is obtained and the simulation result is given to show the efficiency of the controller.