Optimal Control of Movable Objects in Engineering Thermophysics.

We consider the problem of optimal control of movable objects with distributed parameters according to standard performance criteria, as applied to the actual optimization problem of the operational temperature modes for continuous process units for preheating semifinished products before subsequent pressure treatment. The energy-optimal distributions of the heat release power along the length of the heater in stationary modes of its operation, which serve as the desired design solutions for the plant, are determined. Algorithms for automatic programmed and positional control of operational transient modes of a heating unit are proposed that are optimal in terms of a standard quadratic quality criterion for a given accuracy of the uniform approximation of the final spatial temperature distribution to the required one. It is shown that the procedure for synthesizing an optimal controller is reduced to constructing a control system with linear feedback based on an incomplete measurement of the state of the plant with nonstationary transmission coefficients determined by a preliminary calculation of the programmed control. [ABSTRACT FROM AUTHOR]