Modified Method of Invariant Immersion in the Synthesis of Measurement Procedures for Estimating the Motion Parameters of a Maneuvering Target

The problem of processing the results of radar measurements of the parameters of motion of a target under conditions of perturbations due to aircraft maneuvers is examined. In order to adapt to the perturbations of measurement procedures, the method of invariant immersion has been modified. The use of the modified method in the case of a linear observation equation results in the widespread form of the discrete measurement procedure, derived in this article as a special case of a modified equation of invariant immersion. Based on statistical modeling of the digital processing of the results of radar measurements of the movement parameters of a maneuvering target, performance indicators of radar stations were calculated — the averaged absolute and relative measurement errors of the motion parameters, the wiring ratio, and the duration of path breaks. The analysis of specific indicators confirmed the enhanced performance of using the measurement procedures of radar stations in informational-measurement procedures, synthesized using acceleration models in the form of white noise and the Singer acceleration model. Enhancement of the performance was due to the inclusion of the coefficient of adaptation in the structure of the modified equations of invariant immersion. The proposed measurement procedures based on the modified method of invariant immersion were compared with the Kalman measurement procedures, synthesized using specified acceleration models. Calculations of the performance indicators confirm the reliability of the results obtained, since the well-known fact of an increase in the error of measurement of 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-measurement systems operating under conditions of perturbations of measurement processes, such as for survey locators.