Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 2, Pages 289–307 (Mi nd322)  

This article is cited in 23 scientific papers (total in 23 papers)

How to control the Chaplygin sphere using rotors

A. V. Borisov, A. A. Kilin, I. S. Mamaev

Institute of Computer Science, Udmurt State University Universitetskaya 1, Izhevsk, 426034 Russia
References:
Abstract: In the paper we study control of a balanced dynamically nonsymmetric sphere with rotors. The no-slip condition at the point of contact is assumed. The algebraic contrability is shown and the control inputs providing motion of the ball along a given trajectory on the plane are found. For some simple trajectories explicit tracking algorithms are proposed.
Keywords: non-holonomic constraint, non-holonomic distribution, control, Chow–Rashevsky theorem, drift.
Received: 10.03.2012
Accepted: 02.06.2012
Document Type: Article
UDC: 532.5
Language: Russian
Citation: A. V. Borisov, A. A. Kilin, I. S. Mamaev, “How to control the Chaplygin sphere using rotors”, Nelin. Dinam., 8:2 (2012), 289–307
Citation in format AMSBIB
\Bibitem{BorKilMam12}
\by A.~V.~Borisov, A.~A.~Kilin, I.~S.~Mamaev
\paper How to control the Chaplygin sphere using rotors
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 2
\pages 289--307
\mathnet{http://mi.mathnet.ru/nd322}
Linking options:
  • https://www.mathnet.ru/eng/nd322
  • https://www.mathnet.ru/eng/nd/v8/i2/p289
    Cycle of papers
    This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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