Increase robustness of the method of diagnostics and identification of high-precision positioning systems

Today, high-precision positioning systems are used in various fields of science and technology, providing fast and accurate control of movements. Considering the fact that such systems perform important tasks, diagnostics and timely detection of defects is an urgent task. To effectively diagnose and identify defects of such systems, a method based on the transition to the space of principal components was developed. Such a method will make it possible to represent each characteristic in the form of a point in a new orthogonal space. Despite the possibility of using such a method, a drawback was revealed, which is the low stability of this method to the gross errors in the measurement. In this paper, we propose an approach that provides a significant increase in the stability of the method for diagnosing and identifying high-precision positioning systems.