TY - GEN
T1 - Feedback Control of the One-Phase Stefan Problem with Unknown Boundary Input Hysteresis
AU - Chen, Zhelin
AU - Bentsman, Joseph
AU - Thomas, Brian G.
N1 - *This work supported by the Continuous Casting Center at Colorado School of Mines, and NSF Award CMMI 1300907 1Z. Chen (email: [email protected]) and J. Bentsman (phone: 217-244-1076; email: [email protected]) are with the University of Illinois Urbana-Champaign, 1206 W Green St, Urbana, IL, 61801, USA. 2B.G. Thomas (email: [email protected]) is with Colorado School of Mines, 1610 Illinois St, Golden, CO, 80401, USA.
PY - 2021/5/25
Y1 - 2021/5/25
N2 - This paper presents an enthalpy based full-state feedback control law with respect to a reference solution for a one-phase Stefan problem under unknown boundary input hysteresis. The one-phase Stefan problem describes the evolution of the temperature and the liquid-solid interface location in a solidifying material. In this paper, this setting is used to model an industrial continuous casting process, which produces nearly all steel currently used worldwide. Regulation of both the steel temperature and the liquid-solid interface location history is the key to the steel quality. Experiments have revealed the existence of hysteresis due to boiling of the cooling water at the surface of the outer (solid) boundary of the solidifying steal shell. This work addresses this difficulty by considering control of the Stefan problem with unknown boundary hysteresis. To reduce the problem complexity, the hysteresis effect uncertainty is represented through the changing parameters. Then, the hysteresis inverse is designed and the recalibration method for the hysteresis inverse is proposed. Simulation results are provided, showing that under this setting, both the temperature and the interface location converge to the reference states.
AB - This paper presents an enthalpy based full-state feedback control law with respect to a reference solution for a one-phase Stefan problem under unknown boundary input hysteresis. The one-phase Stefan problem describes the evolution of the temperature and the liquid-solid interface location in a solidifying material. In this paper, this setting is used to model an industrial continuous casting process, which produces nearly all steel currently used worldwide. Regulation of both the steel temperature and the liquid-solid interface location history is the key to the steel quality. Experiments have revealed the existence of hysteresis due to boiling of the cooling water at the surface of the outer (solid) boundary of the solidifying steal shell. This work addresses this difficulty by considering control of the Stefan problem with unknown boundary hysteresis. To reduce the problem complexity, the hysteresis effect uncertainty is represented through the changing parameters. Then, the hysteresis inverse is designed and the recalibration method for the hysteresis inverse is proposed. Simulation results are provided, showing that under this setting, both the temperature and the interface location converge to the reference states.
UR - http://www.scopus.com/inward/record.url?scp=85111912709&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85111912709&partnerID=8YFLogxK
U2 - 10.23919/ACC50511.2021.9483220
DO - 10.23919/ACC50511.2021.9483220
M3 - Conference contribution
AN - SCOPUS:85111912709
T3 - Proceedings of the American Control Conference
SP - 1509
EP - 1514
BT - 2021 American Control Conference, ACC 2021
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2021 American Control Conference, ACC 2021
Y2 - 25 May 2021 through 28 May 2021
ER -