DEVELOPMENT OF THE DECISIVE RULES OF THE CONTROL FOR SPACE VEHICLES ACCORDING TO EXPERIMENTAL DATA

摘要

The given paper deals with the problems of recovery of distribution laws by series of smoothed delta-functions, which are necessary for development of the decisive rules of the control. The recovery of two classes of distribution laws, which differ in their asymmetry coefficients, was investigated. Analytical relations of the proximity index to smoothing parameters are developed for these laws, and formulas for definition of their optimal values, that depend only on measurements sampling lengths and their dispersions are obtained. It is shown that the recovery errors can be reduced by using a priori information on experimental data character. Convenient formulas for estimation of smoothing parameter for feebly and strongly asymmetrical laws are offered for engineering calculations of distribution laws recovery. The peculiarities two-dimensional probability distribution laws recovering by the method of smoothed delta-functions are explored and the efficiency of this method is evaluated by realization of computing experiments.