Optimization of the Selection of Software Elements in Control Systems with Significantly Different-Speed Processes

We present a comparative analysis of various methods for solving the problem of determining the spectral characteristics of mathematical models of control systems (decision support systems). It is suggested that a better fit between a method and the model is possible if we consider the specifics of the object or technological process. Based on the model experiments, we made a conclusion about the advantages of using the power method and the Khilenko method, when the range of variation of the rates of calculated variables is unknown or can change significantly with the operating modes of an object (technological process) change as well as in critical situations and the need to “work off” them by the control system.