Modified method of invariant immersion in the synthesis of measuring procedures for estimating the motion parameters of a maneuvering target

The problem of processing the results of radar measurements of the target motion parameters under conditions of disturbances due to aircraft maneuvers is considered. In order to adapt to the disturbances of measuring procedures, the method of invariant immersion has been modified. The application of the modified method in the case of a linear observation equation leads to a widespread form of a discrete measurement procedure obtained in this paper as a special case of modified invariant immersion equations. On the basis of statistical modeling of digital processing of the results of radar measurements of the movement parameters of the maneuvering target, the efficiency indicators of radar stations are calculated – these are the averaged absolute and relative errors in the measurement of motion parameters, the averaged wiring coefficient and the averaged time of the duration of the breaks of the tracks. Their analysis allows us to assert the high efficiency of using new measuring procedures synthesized using acceleration models in the form of white noise and Singer in the information and measurement systems of radar stations. This becomes possible due to the presence of the matrix coefficient of adaptation in the structure of the modified equations of invariant immersion. The comparison was carried out with Kalman measurement procedures synthesized using these acceleration models. Calculations of performance indicators confirm the reliability of the results obtained, since the wellknown fact of an increase in the error of measuring the height of an aircraft by monopulse radar stations near the surface is demonstrated. The results of the study will be useful in the development of adaptive measurement procedures for information and measurement systems operating under conditions of disturbances of measuring processes, for example, for survey locators.

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