Gordyeyev M. Kalman's spline-filter for trajectory information processing

Dissertation is devoted development of spline filter of Kalman for treatment of trajectory information in a real time scale factor concordantly as prefer planned route so flights after arbitrary trajectories within the limits of conception of free flight.. Mathematical models are developed for description as rectilineal trajectory so curvilinear trajectory of motion with the use of hermitean splines of the first and third degrees. The got models of trajectories allow to describe the difficult routes of motion of aircraft and conduct current treatment by the filter of Kalman. It is avoided of effect of senescence of information and description of trajectories of motion outside the corridor of motion enroute. The algorithmic and programmatic providing is developed for an estimation and prognostication of position of airplane in space with high exactness. Developed algorithms was validified by their verification on the model and real trajectories of motion of aircrafts.