Mass transport equation with moving interface and its control as an input delay system

This paper is an analysis of 1D hyperbolic partial differential equation with moving interface as a delay system. The model derives from the mass balance of an extrusion process that describes the strong coupling between the mass transport equation and an ordinary differential equation which represents the interface motion. Solving the transport equation by the method of characteristics, we obtain an state-dependent-input-delay control problem. The stabilization of the whole system around an equilibrium is done by using a state predictor.