OPTIMAL CONTROL BY OF MOVABLE OBJECTS OF TECHNOLOGICAL THERMAL PHYSICS
E.Ya. Rapoport, Yu.E. Pleshivtseva
Samara State Technical University, Samara, Russia
Keywords: system with distributed parameters, movable objects of technological thermal physics, optimization of stationary states, optimal control of transient modes, programmed control, alternance method, optimal control synthesis
Abstract
The paper considers the problem of control of movable objects with distrib-uted parameters, optimal according to standard quality criteria, concerning the actual goal of optimization of the operational temperature modes for continuous process instal-lations for preheating semi-finished products before subsequent pressure treatment. The solution to the problem provides the optimal energy consumption distributions of the heat sources' power along over the length of the heater in stationary modes of its operation, which act as the desired design solutions for the installation. Algorithms for automatic programmed and positional control of operational transient modes of a heating installa-tion are proposed that are optimal in terms of a standard quadratic quality criterion under conditions of a given accuracy of uniform approximation of the final spatial temperature distribution to the required one. The procedure for synthesizing an optimal controller is reduced to constructing a control system with linear feedback based on incomplete measurements of the object's state with non-stationary transmission coefficients determined by a preliminary calculation of programmed control.
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