Method of substitution for control problem for two-dimensional temperature fields by means of mobile sources of heat

For class of control problems in distributed parameter systems with mobile control actions the method called “Method of Substitution” for calculation of distributed controls in two-dimensional plants is presented.
Required temperature fields are given in the form of piece-constant functions in rectangular area. Approximation of these temperature fields is realized by means of quadric functions. Results of numerical simulations are presented.