Feedback Stabilization of a Food Extrusion Process Described by 1D PDEs De?ned on Coupled Time-Varying Spatial Domains

In this paper, we study the stabilization problem for a food extrusion process. The model expresses the mass and the energy conservation in the extruder chamber and consists of hyperbolic Partial differential Equations (PDE) coupled with a nonlinear Ordinary differential Equation (ODE) whose dynamics describes the evolution of a moving interface that separates a Partially Filled Zone (PFZ) and a Fully Filled Zone (FFZ). By using a Lyapunov approach, we obtain the exponential stabilization for the closed-loop system under natural feedback controls through indirect measurements.