Enthalpy-based feedback control algorithms for the Stefan problem

Author

Petrus, Bryan ; Bentsman, Joseph ; Thomas, Brian G.

Author_Institution

Dept. of Mech. Sci. & Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

7037

Lastpage

7042

Abstract

A control law is derived for full-state feedback control of the single-phase Stefan problem, used as a model of industrial casting processes. A conceptually novel controller design approach is proposed for this problem, with the control law chosen to ensure exponential stability of the average enthalpy, and proven to guarantee asymptotic convergence of both the temperature field and the solidification front position to a desired reference. A plausible output feedback control algorithm is also given that demonstrates good behavior in simulation.

Keywords

asymptotic stability; casting; enthalpy; feedback; heat transfer; nonlinear differential equations; partial differential equations; asymptotic convergence; enthalpy-based feedback control algorithms; exponential stability; full-state feedback control; industrial casting processes; novel controller design approach; plausible output feedback control algorithm; single-phase Stefan problem; solidification front position; temperature field; Casting; Convergence; Liquids; Mathematical model; Steel; Temperature control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426035

Filename

6426035