How to control Chaplygin’s sphere using rotors
Publication type: Journal Article
Publication date: 2012-05-01
scimago Q3
wos Q3
SJR: 0.312
CiteScore: 1.9
Impact factor: 0.8
ISSN: 15603547, 14684845
Mathematics (miscellaneous)
Abstract
In the paper we study the control of a balanced dynamically non-symmetric sphere with rotors. The no-slip condition at the point of contact is assumed. The algebraic controllability is shown and the control inputs that steer the ball along a given trajectory on the plane are found. For some simple trajectories explicit tracking algorithms are proposed.
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Metrics
67
Total citations:
67
Citations from 2024:
4
(5%)
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BibTex |
MLA
Cite this
GOST
Copy
Borisov A. V., Kilin A. A., Mamaev I. S. How to control Chaplygin’s sphere using rotors // Regular and Chaotic Dynamics. 2012. Vol. 17. No. 3-4. pp. 258-272.
GOST all authors (up to 50)
Copy
Borisov A. V., Kilin A. A., Mamaev I. S. How to control Chaplygin’s sphere using rotors // Regular and Chaotic Dynamics. 2012. Vol. 17. No. 3-4. pp. 258-272.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1134/s1560354712030045
UR - https://doi.org/10.1134/s1560354712030045
TI - How to control Chaplygin’s sphere using rotors
T2 - Regular and Chaotic Dynamics
AU - Borisov, Alexey V.
AU - Kilin, Alexander A
AU - Mamaev, Ivan S.
PY - 2012
DA - 2012/05/01
PB - Pleiades Publishing
SP - 258-272
IS - 3-4
VL - 17
SN - 1560-3547
SN - 1468-4845
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{2012_Borisov,
author = {Alexey V. Borisov and Alexander A Kilin and Ivan S. Mamaev},
title = {How to control Chaplygin’s sphere using rotors},
journal = {Regular and Chaotic Dynamics},
year = {2012},
volume = {17},
publisher = {Pleiades Publishing},
month = {may},
url = {https://doi.org/10.1134/s1560354712030045},
number = {3-4},
pages = {258--272},
doi = {10.1134/s1560354712030045}
}
Cite this
MLA
Copy
Borisov, Alexey V., et al. “How to control Chaplygin’s sphere using rotors.” Regular and Chaotic Dynamics, vol. 17, no. 3-4, May. 2012, pp. 258-272. https://doi.org/10.1134/s1560354712030045.
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