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Energy-based control of a distributed parameter bi-zone model with moving interface
Authors:F Lotero  F Couenne  B Maschke  D Sbarbaro
Affiliation:1. Department of Electrical Engineering, Universidad de Concepción , Concepción, Chile glotero@udec.cl;3. Laboratoire d’Automatique et Génie des Procédés, LAGEP UMR CNRS 5007, Faculté des Sciences et Technologies, Université d’Lyon 1 , Villeurbanne, France;4. Department of Electrical Engineering, Universidad de Concepción , Concepción, Chile
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
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