Title
Sliding Mode Control of Crowd Dynamics.
Abstract
In this paper, the design of nonlinear sliding mode controllers for models representing crowd dynamics in one dimension is presented. The main contribution of this paper is the stability analysis and robust control synthesis of hyperbolic partial differential equation (PDE) system models using the sliding mode method. The application of this research is in crowd control and in dynamically controlling the evacuation of pedestrians in the presence of disturbances. Crowd densities can change due to blocked exits or due to a varying influx of people. Recent advances in sensor technology have made the measurement of pedestrian densities and velocities possible. As such, the development and implementation of efficient control algorithms to control crowd movements that can avoid jams is realizable. The crowd model presented here is a system of nonlinear hyperbolic PDEs based on the laws of conservation of mass and momentum. The sliding mode control is designed in the presence of both matched and unmatched uncertainties due to external disturbance and parametric variations. The controllers designed are shown to be robust to disturbances.
Year
DOI
Venue
2013
10.1109/TCST.2012.2196700
IEEE Trans. Contr. Sys. Techn.
Keywords
Field
DocType
Mathematical model,Uncertainty,Sliding mode control,Equations,Stability analysis,Lyapunov methods,Feedback control
Nonlinear system,Control theory,Control engineering,Parametric statistics,Robust control,Partial differential equation,Variable structure control,Mathematics,Conservation law,Sliding mode control,Hyperbolic partial differential equation
Journal
Volume
Issue
ISSN
21
3
1063-6536
Citations 
PageRank 
References 
2
0.42
0
Authors
1
Name
Order
Citations
PageRank
Sabiha Amin Wadoo1213.24