부산대학교 도서관

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.
Author(s): Dietmar Hömberg [sup.1] [sup.2] , Klaus Krumbiegel [sup.3] , Nataliya Togobytska [sup.4] Author Affiliations: (Aff1) 0000 0001 0066 936X, grid.433806.a, Weierstrass Institute, , Berlin, Germany (Aff2) 0000 0001 1516 [...]