Mathematical models of some processes of thermal processing of materials are developed on the basis of nonlinear equations of heat mass transfer and free boundary problems. Methods and algorithms for solving the problems of identification of parameters of models are proposed. These ones use ideas of regularization and functional approximation. Algorithms for the control of thermal regime of material processing are developed on a uniform methodological basis. The problem of synthesis of algorithms of disconnected control and control, using operative estimates of thermal state as feedback, is studied. The numerical estimates of the accuracy of synthesized algorithms of filtration and control are obtained.
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