Fast solution of optimal control problems in the selective cooling of steel

Authors
Unger, A Troltzsch, F
Citation
A. Unger et F. Troltzsch, Fast solution of optimal control problems in the selective cooling of steel, Z ANG MA ME, 81(7), 2001, pp. 447-456
Citations number
10
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
81
Issue
7
Year of publication
2001
Pages
447 - 456
Database
ISI
SICI code
0044-2267(2001)81:7<447:FSOOCP>2.0.ZU;2-7
Abstract
We consider the problem of cooling milled steel profiles at a maximum rate subject to given bounds on the difference of temperatures in prescribed poi nts of the steel profile. This leads to a nonlinear parabolic control probl em with pointwise state constraints in a 2D domain. A method of instantaneo us control is applied to set up a fast solution technique.