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The model identification in bearing target with the partially known parameters of motion


Y.G. Bulychev, V.Y. Bulychev, S.S. Ivakina, P.I. Nikolas

Questions connected with deciding the tasks of determining of distance till target with partially known parameters motions (PKPM) on basis of one stationary or mobile azimuth sight did not lose actualities and as to present time. In known works is given to detailed review and the analysis of existing solution procedures of this task with attraction as PKPM data on the value of speed, course, to the initial or final point of the trajectory of motion etc. However applying of this methods is limited the case of straightforward uniform motion with the known or unknown value of speed which often is fairly active constraint in observation of maneuvering targets. The method of determining of distance for the case of curvilinear motion as to the measurements of stationary azimuth sight and initial distance till target is known. This method relates to the class of integro-differential methods (IDM), since adds up to composing and integrating of fitting differential equation. Associated with significant computational expenditures and some loss of accuracy in the process of approximate integration is practical implementation this IMD. In some conditions of observation for target IDM becomes incorrect from computational point of view, especially in presence in the measurements of systematic mistakes. As show results of digital and full-scale experiments, known methods recommended itself well in circumstances of the highly-precise angular measurements and credible antecedent data on PKPM. In the presence of various untaken into account factors bringing to various mistakes of casual and nonrandom nature, these methods become invalid. Described in the article is the method of determining of current slant distance as to the results of the angular measurements of stationary azimuth sight in respect to target with polynomial law and the partially known parameters of motion. Been suggested method does not relate to class integro-differential and in some indicated cases invariant to permanent azimuthal mistake. Result researches are analytical estimation formulas allowing to identify the model of the motion of target and to calculate current slant distance as to it to single measurement and the selection of angular measurements. Also simplified estimation formulas for cases linear and nonlinear motion are received. The assessment of the error of method with allowance for mistakes of measurements is illustrated on test example. Draw conclusions about the influence of the accuracy of basic data, frequencies of measurements and the speeds of target on estimated distance.
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