Application of the Method of Statistical Linearization to Determination of the Quality of Nonlinear Systems

The article discusses the application of the method of statistical linearization to determine the accuracy characteristics of nonlinear automatic control systems under the action of stochastic perturbations. Quality indicators such as mathematical expectation and standard deviation in relation to nonlinear systems, including systems with relay control, are considered. On the example of the temperature control system in the technological furnace, the maximum deviations of the adjustable parameter under the assumption of the stationary perturbation are determined.