Enthalpy-based Full-State Feedback Control of the Stefan Problem with Hysteresis

This paper presents a full-state controller design with respect to a reference solution for the one-phase Stefan problem under input hysteresis. The setting models an industrial casting processes with water cooling hysteresis under Neumann boundary actuation. The control law proposed ensures exponential stability of average enthalpy and is proven to provide asymptotic convergence of temperature error and solidification front error. A simulation supports the result.