Optimum power consumption operation for the induction heating process control

The paper describes the method for solving the problem of optimal power consumption for the programmed control of the  induction heating process of semi-finished metal products before pressure treatment under the conditions of a given accuracy of uniform approximation of the resulting spatial distribution of the heated product temperature field to the desired state before subsequent plastic deformation operations. The proposed algorithm uses a special procedure for preliminary parameterization of control actions in the boundary value problem of the Pontryagin maximum principle and further reduction to the semi-infinite optimization problem, which is solved using the alternance method.