Distributed parameter control of billet heating

Dexter, A. C. and Jesson, S. (1996) Distributed parameter control of billet heating. IEE Colloquium (Digest), 1996 (264). ISSN 0963-3308

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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.

Item Type: Journal Article
Journal or Publication Title: IEE Colloquium (Digest)
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2200/2208
Departments: Faculty of Science and Technology > Engineering
ID Code: 136460
Deposited By: ep_importer_pure
Deposited On: 02 Sep 2019 08:40
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 12:13
URI: https://eprints.lancs.ac.uk/id/eprint/136460

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