Open AccessOptimal 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.