Research on Evacuation Control of Panic Crowds

Considering the behavioral characteristics of panic crowds, the macro mathematical model of the crowds in the corridor has been constructed based on LWR and Pipes-N1mgal models. Obtained model in macro scale that is described using partial differential equations is discretized into finite ordinary differential equations through dividing the corridors into finite sections. Feedback controllers based on feedback linearization have been used in control of panic crowds and stability of the system has been guaranteed no matter the hounded speed of crowds is large or not. Simulation experiments based on Matlab have been conducted to show change of density or speed respect to time, which verifies the rationality and validity of the control.