Abstract:
This paper is concerned with the motion of an unbalanced heavy three-axial ellipsoid in an ideal fluid controlled by rotation of three internal rotors. It is proved that the motion of the body considered is controlled with respect to configuration variables except for some special cases. An explicit control that makes it possible to implement unbounded motion in an arbitrary direction has been calculated. Directions for which control actions are bounded functions of time have been determined.
Keywords:
ideal fluid, motion of a rigid body, Kirchhoff equations, control by rotors, gaits.
Citation:
E. V. Vetchanin, A. A. Kilin, “Control of the motion of an unbalanced heavy ellipsoid in an ideal fluid using rotors”, Nelin. Dinam., 12:4 (2016), 663–674
\Bibitem{VetKil16}
\by E.~V.~Vetchanin, A.~A.~Kilin
\paper Control of the motion of an unbalanced heavy ellipsoid in an ideal fluid using rotors
\jour Nelin. Dinam.
\yr 2016
\vol 12
\issue 4
\pages 663--674
\mathnet{http://mi.mathnet.ru/nd545}
\crossref{https://doi.org/10.20537/nd1604009}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3494057}
\elib{https://elibrary.ru/item.asp?id=27715770}
Linking options:
https://www.mathnet.ru/eng/nd545
https://www.mathnet.ru/eng/nd/v12/i4/p663
This publication is cited in the following 3 articles:
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