Optimal control of free-boundary systems applied to continuous casting process | Zendy

C. Saguez | Zendy

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Optimal control of free-boundary systems applied to continuous casting process

Author(s) -

C. Saguez

Publication year - 1985

Publication title -

mausam

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.243

H-Index - 12

ISSN - 0252-9416

DOI - 10.54302/mausam.v36i2.1836

Subject(s) - optimal control , monotone polygon , mathematics , boundary (topology) , operator (biology) , mathematical optimization , process (computing) , boundary value problem , function (biology) , stefan problem , free boundary problem , computer science , mathematical analysis , biochemistry , chemistry , geometry , repressor , evolutionary biology , biology , transcription factor , gene , operating system

We present a general method to solve an optimal control problem for a free- boundary system associated with a continuous casting process. Firstly, we formulate the physical problem by using the enthalpy function of the system, which is a maximal monotone operator. By the introduction of the Yosida approximation, we obtain necessary optimality conditions. Then numerically, we use a gradient method. Finally some numerical results are presented for two cases of contraints.

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