Title :
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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426035
