V.A. Hashimov
Optimization of capacities and placement of locally distributed sources in feedback control of the heating of the rod

The problem of synthesis of capacity control and optimal placement of locally distributed heat sources and measuring points during the heating of the rod is investigated. The current values of the controls are determined depending on the temperature values of the rod in the neighborhood of the measurement points. Formulas are obtained for the components of the gradient of the objective functional with respect to the feedback parameters and the coordinates of the location of sources, which can be used in the numerical solution of problems using first-order numerical optimization methods.

Keywords: Rod heating, Feedback control, Temperature measuring points, Feedback parameters