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Optimal control of multiphase steel production
Authors
Dietmar Hömberg
Klaus Krumbiegel
Nataliya Togobytska
Publication date
1 January 2019
Publisher
Berlin ; Heidelberg : Springer
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Abstract
An optimal control problem for the production of multiphase steel is investigated that takes into account phase transformations in the steel slab. The state equations are a semilinear heat equation coupled with an ordinary differential equation, that describes the evolution of the steel microstructure. The time-dependent heat transfer coefficient serves as a control function. Necessary and sufficient optimality conditions for the control problem are derived. For the numerical solution of the control problem, a reduced sequential quadratic programming method with a primal-dual active set strategy is developed. The numerical results are presented for the optimal control of a cooling line in the production of hot-rolled Mo–Mn dual phase steel. © 2019, The Author(s)
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Last time updated on 23/07/2022