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 -