@inproceedings{8dd36944caf94090a1b618ffc378fdd1,
title = "Feedback control of the two-phase Stefan problem, with an application to the continuous casting of steel",
abstract = "A full-state feedback control law is derived that stabilizes the two-phase Stefan problem with respect to a reference solution using control of the Neumann boundary condition. Stability and convergence are shown via a Lyapunov functional on the error system with moving boundaries. A second control law is also derived, for which stability is proved and convergence is conjectured due to the clearly convergent simulation results. A simple Dirichlet controller is also considered, and is used to design a boundary-output-based estimator that, in combination with full-state feedback controllers, yields a plausible output feedback control law with boundary sensing and actuation. The performance of the control laws is demonstrated using numerical simulation.",
author = "Bryan Petrus and Joseph Bentsman and Thomas, {Brian G.}",
year = "2010",
doi = "10.1109/CDC.2010.5717456",
language = "English (US)",
isbn = "9781424477456",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1731--1736",
booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",
address = "United States",
note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",
}