NUMERICAL ANALYTICAL METHOD FOR DESCRIPTION AND EVALUATION OF INPUT AND OUTPUT PARAMETERS OF A MULTIDIMENSIONAL DYNAMIC OBJECT. PT. I
Yu. G. Bulychev1, A. G. Kondrashov2, P. Yu. Radu3, A. V. Yachmenev1
1Gradient All-Russian Research Institute, Rostov-on-Don, Russia
2AO Kvant Scientific-Production Association, Velikii Novgorod, Russia
3Kaluga Scientific Research Radio Engineering Institute, Zhukov, Kaluga region, Russia
Keywords: динамический объект, характерные параметры объекта, область допустимости, измеряемые координаты, опорные интегральные кривые, численно-аналитическое решение, оптимальные узлы интерполяции, dynamic object, characteristic parameters of object, range of admissibility, measured coordinates, reference integral curves, numerical-analytical solution, optimal interpolation points
Abstract
A method for describing and evaluating the state of a multidimensional dynamic object has been developed, which includes a numerical and analytical representation of the general solution of the differential equation for the dynamic object and its measured output, taking into account the range of admissibility of time values and the initial condition, as well as the uncertainty parameters on the right side of the equation. The required quality of representation is achieved using a family of high-precision reference integral curves (of necessary volume) constructed in advance and the principle of smooth dependence of the solution and measured coordinates in a given admissibility region for a wide class of dynamic objects. The error of the method is estimated, and recommendations for choosing its main parameters are given
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