Research output: Contribution to Journal/Magazine › Conference article › peer-review
Article number | 5 |
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<mark>Journal publication date</mark> | 1/01/1996 |
<mark>Journal</mark> | IEE Colloquium (Digest) |
Issue number | 264 |
Volume | 1996 |
Number of pages | 5 |
Publication Status | Published |
<mark>Original language</mark> | English |
Event | Proceedings of the 1996 IEE Colloquium on Electromagnetics and Induction Heating - London, UK Duration: 31/10/1996 → 31/10/1996 |
Conference | Proceedings of the 1996 IEE Colloquium on Electromagnetics and Induction Heating |
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City | London, UK |
Period | 31/10/96 → 31/10/96 |
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.