The paper considers the solution of the problem of adaptive control by the operational parameters optimization of technological processes. The existing mathematical tools of control theory do not allow for the creation of a control algorithm for nonlinear objects with insufficient information. Such object is a metallurgical furnace characterized by the instability of the chemical composition of raw materials. This instability combined with a low residence time under significant thermal effect of reactions, makes combustors highly nonlinear objects for control purposes. Due to an enormous number of the factors influencing the technological process, it is impossible to obtain as general and universal results, as in the linear control theory for stabilization process. Therefore, the process control system was considered as a stabilization system, which made it possible to divide the task in two stages: an assessment of the state of the object and stabilization of the estimates obtained. Based on the mathematical model of technological process, the efficiency of the real-time extreme control algorithm was proved.
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