  In this paper, we study the stabilization problem for a food extrusion
process in the isothermal case. The model expresses the mass conservation in
the extruder chamber and consists of a hyperbolic Partial Differential Equation
(PDE) and a nonlinear Ordinary Differential Equation (ODE) whose dynamics
describes the evolution of a moving interface. By using a Lyapunov approach, we
obtain the exponential stabilization for the closed-loop system under natural
feedback controls through indirect measurements.
