Diagnosing Continuous Dynamic Systems Using Topological Sensitivity Functions

Abstract

The paper considers an algorithm for searching for defects of topological links between dynamic blocks: breaking one link between dynamic blocks. The use of well-known algorithms of this kind is complicated by the need to use models with trial deviations of the parameters, or the need to analyze the signs of signal transmissions. The disadvantage of the algorithm based on trial changes in the topological relationships of the model is that it uses the task of these changes in the model, which is a time-consuming task. The disadvantage of the method of analysis of transmission signs using a normalized diagnostic feature, as well as using a binary diagnostic feature, is that additional calculations of the transmission signs of the signals from the outputs of the blocks to the control points are necessary. Below, we consider an algorithm for searching for defects in the form of breaking links between dynamic blocks, based on the use of a topological sensitivity model of integral estimates of the object's output signals. The procedure for obtaining normalized diagnostic features and calculating a quantitative measure of the distinguishability of defects is determined.