ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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3
Issue
vol 60 / MARCH, 2017
Article
UDC 519.271

MATHEMATICAL MODEL OF RELATION BETWEEN ISOCHRONIC VARIATIONS OF CONTROL SYSTEM STATE CHARACTERISTICS AND ITS COMPONENTS PERTURBATIONS PARAMETERS

V. N. Arseniev
A. F. Mozhaysky Military Spaсe Academy, Department of Onboard Information and Measuring Complexes; Professor


A. G. Kokhanovsky
A. F. Mozhaysky Military Space Academy, St. Petersburg; Head of Department


A. S. Fadeev
Center for Ground-Based Space Infrastructure Facilities Operation, Moscow; Director General


Abstract.   Relation between random variations of an aircraft control system parameters and the aircraft state characteristics at a fixed moment is considered. The problem of development of a linear model describing the relation is addressed. Values of the model parameters are derived by minimization of an integral functional under limiting conditions in the form of nonlinear matrix equation. An analytical solution to the variational problem is obtained, and advantage of the developed model as compared with the known model based on sensitivity factors is demonstrated.
Keywords: control system, variable state characteristics, linear model, parameters, accuracy