Pedestrian evacuation in two-dimension via state feedback control

Pedestrian dynamics is an important yet intriguing research perspective. One of the central issues about pedestrian dynamics is how to evacuate people from a given area as fast as possible in emergency. Based on the macroscopic pedestrian dynamic model, this paper presents the design of a state feedback controller for pedestrian evacuation in two-dimension. This controller can make the initial density profile of the crowd decrease with time in some specific direction at the fixed speed. Specifically, above controller can keep pedestrians from congestions and collisions. The controller designed guarantees the stability of the closed loop system via Lyapunov method, which outperforms the other existing controllers in the simulation results.