Adaptive observer design for time-varying nonlinear systems with unknown polynomial parameters

Abstract

The paper considers the construction of optoelectronic systems for monitoring near-Earth space, the choice of algorithms for identifying and obtaining the most reliable coordinate and non-coordinate information about space objects of natural and man-made origin. Experimental mock-up studies using the developed installation were performed. The plant allows the calibration of the optoelectronic system and the study of algorithms for obtaining coordinate and detailed data about the observed objects. The authors apply the method of image registration by a telescopic system in the astrograph with a digital camera mode and a digital camera with a microlens array mode. The work uses the methods for analyzing two-dimensional images by algorithms for measuring binary clusters in an image structure, investigating the brightness structure of an image with a circular boundary in a given area, determining the centers and radii of the circles inscribed in clusters, calculating and estimating the maxima for the curves of the coefficients of continuous wavelet transformation in the image profile lines with real wavelets. The composition and structure of a complex of algorithms and a methodology for their application have been developed. The methodology makes it possible to increase the accuracy and reliability of information obtained about the observed objects in a wide range of changes in the characteristics of the background target environment. The results substantiate the possibility of increasing the accuracy and reliability of coordinate information about the observed objects by analyzing the curves of the coefficients of continuous wavelet transform or analyzing the brightness gradient, provided that the algorithm for analyzing clusters of binarized images is used. The algorithm makes it possible to determine the areas of localization of objects of interest in the observed space. The developed methodology can be applied to assess the accuracy and reliability of the results of determining the coordinates and detailed features of objects. At the same time, it is possible to scale the algorithms to the means of observation and the tasks being solved, which makes it possible to use them in automated monitoring systems for near-earth space and increases the efficiency of detection and identification of objects.