Statistical Models of Controlled Parameters and Errors of Measuring Channels for Designing Automatic Systems Based on Risk Criteria

In this work, modified statistical models for describing the errors of measuring channels and controlled technological parameters are obtained for designing systems and automation equipment according to statistical criteria. The distribution densities are obtained using the method of "inverse" functions. Analytical dependencies are presented. A generalized algorithm for generating random numbers for specific applications has been developed. The analysis is carried out and the probabilistic characteristics of the functioning of the automation system for various mathematical models of the controlled parameter and the measuring channel are presented.