Feedback Stabilization for the Mass Balance Equations of an Extrusion Process

In this article, we study the stabilization problem for an 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. Numerical simulations are also provided with a comparison between the proposed approach and linear PI feedback controller.