Optimal control of multiphase steel production
Journal article, Peer reviewed
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Date
2019Metadata
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- Institutt for matematiske fag [2604]
- Publikasjoner fra CRIStin - NTNU [39915]
Original version
10.1186/s13362-019-0063-xAbstract
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.