Investigation Methods of Parameters Random Variations in Control Systems

Abstract

Most publications on the theory and practice of creating control systems are devoted to deterministic problems, when the input quantities and output characteristics have deterministic values or functions. In the article, the authors draw attention to the fact that all input and output signals, as well as the internal parameters of control systems, always have random variations. Technological random deviations have parameters for construction materials and electronic components and devices. In addition, the ambient temperature randomly influences the control systems, mechanical effects from the installation object, as well as temporary aging, wear and other factors. The authors draw attention to the insufficient number of publications devoted to the system discussion of probabilistic methods for studying control systems. In this article, the authors not only systematized the methods for studying random variations in the parameters of control systems, but also set forth their unified approach to solving the most frequently encountered problems of studying accuracy, stability, serial seriality and parametric reliability in the case of gradual failure of control systems. The necessary mathematical apparatus is given.