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Journal of Automation and Information Sciences

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v43.i3.40
pages 32-44

On Regulation Problem for Heating Process

Kamil Rajab ogly Aida-zade
Azerbaijan State Oil Academy, Baku, Azerbaijan
Vagif Maarif oglu Abdullayev
Institute of Cybernetics of National Academy of Sciences of Azerbaijan, Baku

ABSTRACT

We investigate a class of problems of optimal control of process of rod (plate) heating on control of temperature inside the stove. Control is realized by feedback, for which information about the state of process continuously or discretely enters only from certain points of rod, where temperature sensors are placed. Mathematical model of controlled process in both cases is reduced to pointwise loaded parabolic equation. We obtain the necessary conditions of optimality, propose numerical schemes of its solving.