Feedback Control of Crowd Evacuation in One Dimension

Document Type

Article

Publication Date

3-2010

Publication Title

IEEE Transactions on Intelligent Transportation Systems

Volume

11

Issue

1

First page number:

182

Last page number:

193

Abstract

This paper studies crowd models in one dimension. The focus of this paper is on the design of nonlinear feedback controllers for these models. Two different models are studied where dynamics are represented by a single partial differential equation (PDE) in one case and a system of hyperbolic PDEs in another, and control models are proposed for both. These include advective, diffusive, and advective-diffusive controls. The models representing evacuation dynamics are based on the laws of conservation of mass and momentum and are described by nonlinear hyperbolic PDEs. As such, the system is distributed in nature. We address the design of feedback control for these models in a distributed setting where the problem of control and stability is formulated directly in the framework of PDEs. The control goal is to design feedback controllers to control the movement of people during evacuation and avoid jams and shocks.

Keywords

Control theory; Differential equations; Partial; Distributed parameter systems; Evacuation of civilians--Mathematical models; Feedback control systems—Dynamics

Disciplines

Computer Engineering | Controls and Control Theory | Dynamical Systems | Dynamic Systems | Electrical and Computer Engineering | Other Operations Research, Systems Engineering and Industrial Engineering | Partial Differential Equations

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

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