Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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
    Statistics & downloads:
    Abstract page:505
    Full-text PDF :176
    References:85
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024