Optimal control of multiphase steel production
- Hömberg, Dietmar
- Krumbiegel, Klaus
- Togobytska, Nataliya
2010 Mathematics Subject Classification
- 35K05 49M37 49N90
- hot rolling, dual phase steels, optimal contro
An optimal control problem for the production of multiphase steel is investigated, where the state equations are a semilinear heat equation and an ordinary differential equation, which describes the evolution of the ferrite phase fraction. The optimal control problem is analyzed and the first-order necessary and second-order sufficient optimality conditions are derived. For the numerical solution of the control problem reduced sequential quadratic programming (rSQP) method with a primal-dual active set strategy (PDAS) was applied. The numerical results were presented for the optimal control of a cooling line for production of hot rolled Mo-Mn dual phase steel.
- J. Math. Ind., 9 (2019), pp. 1--32, DOI 10.1186/s13362-019-0063-x .