Finite-Time Control of One Dimensional Crowd Evacuation System

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.

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    • © 2019 Wei Qin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • Authors:
    • Qin, Wei
    • Cui, Baotong
    • Jiang, Zhengxian
  • Publication Date: 2019

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  • English

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  • Accession Number: 01717067
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Aug 23 2019 12:25PM