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T型行人流通道建模及滑模控制方法

常路,单梁,徐思远,李军   

  1. 南京理工大学自动化学院,南京 210094
  • 出版日期:2019-05-25 发布日期:2019-08-28

常路,单梁,徐思远,李军. T型行人流通道建模及滑模控制方法[J]. 系统科学与数学, 2019, 39(5): 691-702.

CHANG Lu, SHAN Liang, XU Siyuan,LI Jun. Modeling and Sliding Mode Control of T-Shaped Pedestrian Channel[J]. Journal of Systems Science and Mathematical Sciences, 2019, 39(5): 691-702.

Modeling and Sliding Mode Control of T-Shaped Pedestrian Channel

CHANG Lu, SHAN Liang, XU Siyuan ,LI Jun   

  1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094
  • Online:2019-05-25 Published:2019-08-28

对行人在不同通道结构中的疏散方式的研究, 在优化通行效率, 避免事故发生以及 设计通道结构中都具有重要价值. 首先, 基于行人流宏观模型和质量守恒定理, 建立了一个具有数个可控出入口的T型通道行人流模型. 然后, 以避免拥堵并且最大化整体模型通行量的 控制目标, 采用级联的方式, 设计了一种滑模控制器, 用李雅普诺夫稳定性原理证明了系统的 稳定性, 同时采取了边界层的方法来抑制抖振现象. 最后, 进行了数值仿真, 结果表明, 滑模 控制器达到了控制目标, 并且边界层方法有效地抑制了控制器的抖振.

The study of pedestrian evacuation in channels with different structures is important among optimizing through efficiency, avoiding accidents and designing passageway. This paper establishes a macroscopic model for T-shaped channel with a number of controlled entrances basing on the law of mass conservation. Then, with the method of cascade, a kind of sliding mode controller is designed to achieve the control target of avoiding the blocking and maximizing the pedestrian flow of the whole model, the stability of the system is proved by the Lyapunov stability theory and the boundary layer method is applied to restrain the chattering of the controller. Finally, the simulation result is given to show the efficiency of the sliding mode controller and the improvement brought by the boundary layer method.

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