Abstract
In the work proposes an approach to solving the problem of synthesis of motion and power control of lumped sources with optimization of the locations of the points of the measurements. For specificity, the problem of feedback control of moving heat sources during rod heating is considered. The power and speed of point-wise sources are assigned depending on the state of the processes at the measurement points. The formulas for the gradient components of the objective functional, allowing for the numerical solution of the problem using of the first-order optimization methods are obtained.
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