Energy-based control of a distributed parameter bi-zone model with moving interface

ABSTRACT

In this work, a model-based control of the melt temperature of a distributed parameter bi-zone model with moving interface of an extrusion process is studied. An energy-based controller is derived using internal energy as a storage function and controlled variable with the screw speed as control input. The stability of the controller is proved through the use of a Lyapunov-like candidate function. Finally, the practical usefulness of the method is illustrated by some closed-loop simulations of the experimentally verified model of the extrusion process. The interconnection of the moving interface is performed under the assumption of variable viscosity along the extruder and a finite-volume scheme is used for the discretisation of the dynamic model.

KEYWORDS:

• Nonlinear modelling
• extrusion
• PDEs
• moving interface
• energy-based control
• hyperbolic systems

Acknowledgments

This work was supported in part by the ANR-sponsored project HAMECMOPSYS under Reference Code ANR-11-BS03-0002 and by the French-Chilean ECOS/CONICYT project C12E08. Also Fernando Lotero thanks to CONYCIT for its support through the Scholarship for Doctoral Studies in Chile.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

ANR-sponsored project HAMECMOPSYS [reference code ANR-11-BS03-0002]; the French-Chilean ECOS/CONICYT project [C12E08].