Feedback stabilization for the mass balance equations of a food extrusion process

TL;DR

This paper develops a feedback control method to stabilize the mass balance equations of a food extrusion process modeled by coupled PDE and ODE, ensuring exponential stability using Lyapunov techniques.

Contribution

It introduces a novel feedback stabilization approach for a coupled PDE-ODE model of food extrusion, employing Lyapunov methods for exponential stability.

Findings

Exponential stabilization achieved under natural feedback controls

Lyapunov approach effectively handles coupled PDE-ODE system

Stability results applicable to isothermal food extrusion processes

Abstract

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.