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Distributed parameter control of billet heating

Research output: Contribution to journalConference article

Published
Article number5
<mark>Journal publication date</mark>1/01/1996
<mark>Journal</mark>IEE Colloquium (Digest)
Issue number264
Volume1996
Number of pages5
Publication statusPublished
Original languageEnglish
EventProceedings of the 1996 IEE Colloquium on Electromagnetics and Induction Heating - London, UK
Duration: 31/10/199631/10/1996

Conference

ConferenceProceedings of the 1996 IEE Colloquium on Electromagnetics and Induction Heating
CityLondon, UK
Period31/10/9631/10/96

Abstract

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.