Calculation of dynamic processes in relay systems of automatic control based on graph models

Abstract

Abstract This article discusses the construction of a graph model of a relay system of automatic control. Based on the graph model, relations are derived for calculating transients in a relay system. To describe and analyse relay systems of automatic control, a specific feature of the relay element is used, consisting in the fact that its output value can take only certain constant values. The maximum possible set of structural states for relay elements is three. Accordingly, the relay element introduces a structure discretization effect into the system. This feature makes it possible to study relay systems with relatively simple means and makes it possible to develop methods for their calculation to a certain extent similar to methods for calculating linear systems. In developing the graph method for the description and analysis of relay automatic systems, this position was primarily taken as a basis. This method can be successfully used in any of the typical relay elements are included in the system. A two-dimensional relay system is considered as an example. Based on the graph model, the output coordinates of the system are calculated and their graphs are constructed.