Finite-Time Control of One Dimensional Crowd Evacuation System

Abstract EN

This paper pertains to the study of finite-time control of one dimensional crowd evacuation system.

Benefiting from the research of fluid dynamics and vehicle traffic, a one dimensional crowd evacuation system is constructed, whose density-velocity relationship is represented by a diffusion model.

In order to deal with the nondirectionality of crowd movement, the free flow speed is chosen as a control variable.

Since the control variable is included in a partial derivative, it increases the difficulty of designing the controller.

In this paper, finite-time controller is designed, which not only guarantees the effective evacuation, but also obtains the estimation of evacuation time.

Then, finite-time tracking problem is solved, which makes the density converge to a given density.

Finally, numerical examples illustrate the effectiveness of the controllers.