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А.В. Гладун
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Инженерный журнал: наука и инновации
# 7·2017
Stabilizing the satellite orientation
by means of two doubled gyrodynes
© A.V. Gladun
Ulyanovsk Institute of Civil Aviation, Ulyanovsk, 432071, Russia
The article examines the problem of stabilizing the orientation of the satellite carrying
two doubled gyrodynes. We suggest a control setting algorithm for stabilizing the satel-
lite orientation in two stages. At the first stage we construct a Lyapunov function, at the
second stage the task is considered according to the linear approximation. The stabiliza-
tion is achieved by selecting the eigenvalues which correspond to the matrix of the trans-
formed system. The control depends on these eigenvalues like on the variables. Both im-
aginary and real parts of this matrix eigenvalues are adjusted so that the span of control
should be minimized. The article demonstrates the results of the numerical simulation.
Keywords:
satellite, doubled gyrodynes, stabilization with respect to a part of variables,
Lyapunov function, linear approximation
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Gladun A.V.
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Gladun A.V.,
Assoc. Professor of the Department of Physical and Mathematical Scienc-
es, Ulyanovsk Institute of Civil Aviation. Research interests include: theoretical mechan-
ics, dynamical systems, control and stabilization with respect to a part of variables.
e-mail:
aleksygladun@gmail.com