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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 2, Pages 289–307
(Mi nd322)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/nd322 https://www.mathnet.ru/eng/nd/v8/i2/p289
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Abstract page: | 505 | Full-text PDF : | 176 | References: | 85 | First page: | 1 |
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