S.A. Wadoo and P. Kachroo (USA)
Evacuation modelling, distributed control, robust feedback control, Lyapunov redesign
This paper presents the design of a robust nonlinear feedback controller for a model representing evacuation dynamics in one dimension. The model presented here is based on the law of conservation of mass. The model is a classical one equation model for traffic flow based on conservation of mass with a prescribed relationship between density and velocity. The equation of motion is described by a nonlinear partial differential equation. We address the design of robust feedback control for this model in a distributed setting where the problem of control and stability is formulated directly in the framework of partial differential equations. The feedback control is designed in presence of uncertainties. The goal is to design a controller so as to minimize the effect of uncertainties on the movement of people during evacuation. The control design technique adopted is feedback linearization and Lyapunov redesign.
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