V.M. ABDULLAYEV
NUMERICAL SOLUTION TO A PROBLEM OF FEEDBACK CONTROL FOR THE ROD HEATING PROCESS


Within the framework of optimal feedback control problems with respect to objects with distributed parameters, we consider the problem of optimizing the locations of points of control over the object state. To be specific, we consider the process of heating a rod in a furnace, the temperature of which is regulated depending on the measured temperature at certain points of the rod. The problem is reduced to a problem of parametric optimal control of a loaded system. We derive formulas for the components of the gradient of the objective functional with respect to the coordinates of the locations of control points and to the parameters of the synthesized control, which depends on the current measurements. The results of the conducted numerical experiments are given.

Keywords: loaded differential equation, control point, reaction to loading, optimal control, feedback, gradient projection method
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