Research output: Contribution to Journal/Magazine › Conference article › peer-review
Research output: Contribution to Journal/Magazine › Conference article › peer-review
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TY - JOUR
T1 - Distributed parameter control of billet heating
AU - Dexter, A. C.
AU - Jesson, S.
PY - 1996/1/1
Y1 - 1996/1/1
N2 - A formal method for the determination of optimum control strategies during production breaks on continuous induction billet heating lines is presented. The method utilizes the calculus of variations to minimize a cost function appropriate to a production run over a time period that includes an interval when heated billets cannot be forged. The solution is obtained as follows: start with an arbitrary control strategy; integrate the state equation forwards along the billet line; determine a boundary condition for the costate at the end of the line; integrate the costate backwards along the line; determine an improved control strategy from the state and costate; and repeat until the performance functional is maximized.
AB - A formal method for the determination of optimum control strategies during production breaks on continuous induction billet heating lines is presented. The method utilizes the calculus of variations to minimize a cost function appropriate to a production run over a time period that includes an interval when heated billets cannot be forged. The solution is obtained as follows: start with an arbitrary control strategy; integrate the state equation forwards along the billet line; determine a boundary condition for the costate at the end of the line; integrate the costate backwards along the line; determine an improved control strategy from the state and costate; and repeat until the performance functional is maximized.
U2 - 10.1049/ic:19961401
DO - 10.1049/ic:19961401
M3 - Conference article
AN - SCOPUS:0030252021
VL - 1996
JO - IEE Colloquium (Digest)
JF - IEE Colloquium (Digest)
SN - 0963-3308
IS - 264
M1 - 5
T2 - Proceedings of the 1996 IEE Colloquium on Electromagnetics and Induction Heating
Y2 - 31 October 1996 through 31 October 1996
ER -