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Fast Solution of Optimal Control Problems in the Selective Cooling of Steel
Author(s) -
Unger A.,
Tröltzsch F.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200107)81:7<447::aid-zamm447>3.0.co;2-u
Subject(s) - pointwise , nonlinear system , control (management) , set (abstract data type) , optimal control , state (computer science) , mathematical optimization , control theory (sociology) , domain (mathematical analysis) , mathematics , materials science , computer science , mathematical analysis , algorithm , physics , artificial intelligence , quantum mechanics , programming language
We consider the problem of cooling milled steel profiles at a maximum rate subject to given bounds on the difference of temperatures in prescribed points of the steel profile. This leads to a nonlinear parabolic control problem with pointwise state constraints in a 2D domain. A method of instantaneous control is applied to set up a fast solution technique.