Accuracy and sensitivity of terminal diagnostics of controlled dynamic systems
Keywords:
system motion model, linear discrete system, border traffic, terminal control, system motion errors, conditions for defect detectionAbstract
Introduction: Most studies on terminal diagnostics of dynamic systems are devoted to the description of methods of calculating
special test signals providing natural movement of the system, for example, within the given limits. Such a movement is carried out
using calculated terminal control. The final state of the system allows you to determine a diagnostic feature. Therefore, it is necessary
to set and solve the problem of assessing the probability of obtaining a correct result of diagnosis, which would determine its reliability
and sensitivity to errors in the system movement caused by a defect. Purpose: Developing methods for calculating the reliability and
sensitivity of a diagnostic feature in terminal diagnosis of dynamic systems. Methods: Formulas based on the theory of automatic
control system sensitivity allowed us to obtain conditions for detecting defects which lead to errors in the system movement within
specified boundaries. Results: Methods have been developed to calculate dynamic system motion error sensitivity coefficients for
various defects and required initial data. The process of evaluating terminal diagnostics of discrete dynamic systems is described. This
process differs from the known methods in that the test motion is a natural movement of the system within the specified boundaries.
Computer simulation confirms that the obtained formulas of the diagnostics process estimation are accurate. The proposed formulas
require the application of MATLAB mathematical package, as the calculation is based on function programs and a scenario for studying
reliability and sensitivity of terminal diagnostics.Practical relevance: When making a decision about the presence of a defect in a tested
dynamic object, the technical diagnostics system operator receives a tool for assessing the reliability and sensitivity of the diagnostic
feature.