Научная электронная библиотека ULRICH'S Periodicals Directory

Сибирский государственный университет
науки и технологий имени академика М.Ф. Решетнева

Сибирский аэрокосмический журнал
ISSN 2712-8970 (Print) ISSN 2782-5760 (on-line)

Сведения об образовательной организации

UDK 62.501
TO GEOSTATIONARY COLLOCATION PROBLEM
A. G. Kuprin1*, A. V. Medvedev2
1JSC “Academician M. F. Reshetnev Information Satellite Systems” 52, Lenin Str., Zheleznogorsk, Krasnoyarsk region, 662972, Russian Federation 2Reshetnev Siberian State University of Science and Technology 31, Krasnoyarsky Rabochy Av., Krasnoyarsk, 660037, Russian Federation *Е-mail: kprn@mail.ru
This article is about geostationary collocation problem which means problem of cooperative station retention. As part of this task it is assumed that different control centers don’t exchange information about kinematic parameter’s vectors and maneuvers. So there is full information and control possibility for one collocation member only. Sets of kinematic parameter vectors are available for the other collocation members. This situation corresponds to lack of a priority information conditions, so there is f nonparametric uncertainty situation because due to absence of information on parametric control law which is used to choose maneuvers for other collocation members. Modern collocation theory doesn’t allow to avoid collision and process station retention in this condition. Synthesis of nonparametric regulator is in contemplation to solve this problem. First task of this regulator is estimation of previous maneuvers by processing kinematic parameter vectors sets. Second task is estimation of coordinates for every collocation member. Finally, nonparametric regulator must synthesize control which allows to process station retention and collocation. Suggested algorithm belongs to nonparametric class, so it is not necessary to know parametric form of controlling law. It is based on modification of Nadaraya-Watson nonparametric estimation. The geostationary movement model including main perturbations, and most common collocation approaches are suggested. Nonparametric control algorithm is proposed.
Keywords: nonparametrics, geostationary spacecraft, collocation.
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Kuprin Artem Gennad’evich – engineer, JSC “Academician M. F. Reshetnev “Information Satellite Systems”.

E-mail: kprn@mail.ru.

Medvedev Aleksandr Vasil’evich – Dr. Sc., professor, Reshetnev Siberian State University of Science and

Technology.