Sliding mode control of crowd dynamics with matched disturbance

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.