Calculation of approximating functions of two-dimensional temperature fields by method of substitution for control problems of mobile sources of action

Class of control problems for distributed parameter systems with mobile control is presented with solution by the method called “Method of Substitution” for calculation of distributed controls in two-dimensional plants, in particular, temperature fields. 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 final trigonometric sums. Results of numerical simulations are presented.