Sliding mode control of crowd dynamics with matched disturbance

Author

Wadoo, Sabiha A.

Author_Institution

Dept. of Electr. & Comput. Eng., New York Inst. of Technol., Old Westbury, NY, USA

fYear

2011

fDate

4-7 April 2011

Firstpage

298

Lastpage

302

Abstract

In this paper the design of nonlinear sliding mode feedback controller for a model representing crowd dynamics is presented. The model is a system of partial differential equations based on the laws of conservation of mass and momentum. The equations of motion are described by a set of nonlinear hyperbolic partial differential equations. The feedback control is designed in presence of both matched and unmatched uncertainties due to external disturbance. The goal is to design a controller so as to minimize the effect of uncertainties on the movement of people. The control design method adopted is feedback linearization and sliding mode.

Keywords

control system synthesis; feedback; hyperbolic equations; linearisation techniques; motion control; nonlinear control systems; nonlinear differential equations; partial differential equations; road traffic; traffic control; uncertain systems; variable structure systems; conservation law; control design; crowd dynamics; external disturbance; feedback linearization; mass; matched disturbance; momentum; motion equation; nonlinear hyperbolic partial differential equation; nonlinear sliding mode feedback controller; pedestrian model; people movement; unmatched uncertainties; Adaptive control; Equations; Feedback control; Mathematical model; Partial differential equations; Robustness; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems Conference (SysCon), 2011 IEEE International

Conference_Location

Montreal, QC

Print_ISBN

978-1-4244-9494-1

Type

conf

DOI

10.1109/SYSCON.2011.5929107

Filename

5929107