Sliding Mode Control of T-Shaped Pedestrian Channel

doi:10.1007/s12204-020-2198-8

Abstract

Abstract: The study of pedestrian evacuation in channels with different structures is important among optimizing
through efficiency, avoiding accidents and designing passageway. It is of significant reference to set up a specific
model on account of the real traffic system and design an appropriate controller to apply on it. 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, simulation results show the efficiency of the sliding mode controller and
the improvement brought by the boundary layer method.

Key words: nonlinear stability analysis| sliding mode control| macroscopic model| boundary layer method

摘要： The study of pedestrian evacuation in channels with different structures is important among optimizing
through efficiency, avoiding accidents and designing passageway. It is of significant reference to set up a specific
model on account of the real traffic system and design an appropriate controller to apply on it. 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, simulation results show the efficiency of the sliding mode controller and
the improvement brought by the boundary layer method.

关键词: nonlinear stability analysis| sliding mode control| macroscopic model| boundary layer method

CLC Number:

O 231.2

CHANG Lu, SHAN Liang, LI Jun, DAI Yuewei . Sliding Mode Control of T-Shaped Pedestrian Channel[J]. Journal of Shanghai Jiao Tong University(Science), 2020, 25(4): 478-485.

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