WIAS Preprint No. 1971, (2014)

Optimal control of multiphase steel production



Authors

  • Hömberg, Dietmar
  • Krumbiegel, Klaus
  • Togobytska, Nataliya

2010 Mathematics Subject Classification

  • 35K05 49M37 49N90

Keywords

  • hot rolling, dual phase steels, optimal contro

Abstract

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.

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