Optimal control of multiphase steel production
Journal article, Peer reviewed
Published version
Permanent lenke
http://hdl.handle.net/11250/2618922Utgivelsesdato
2019Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2350]
- Publikasjoner fra CRIStin - NTNU [37177]
Originalversjon
10.1186/s13362-019-0063-xSammendrag
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.