Comment on the paper by A.\,V.~Borisov, A.\,A.~Kilin, I.\,S.~Mamaev “How to control the Chaplygin ball using rotors.~II”
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 1, pp. 127-132
Voir la notice de l'article provenant de la source Math-Net.Ru
In this paper we consider the control of a dynamically asymmetric balanced ball on a plane in the case of slipping at the contact point. Necessary conditions under which a control is possible are obtained. Specific algorithms of control along a given trajectory are constructed.
Keywords:
control, dry friction, Chaplygin’s ball, spherical robot.
@article{ND_2014_10_1_a8,
author = {Tatyana B. Ivanova and Elena N. Pivovarova},
title = {Comment on the paper by {A.\,V.~Borisov,} {A.\,A.~Kilin,} {I.\,S.~Mamaev} {{\textquotedblleft}How} to control the {Chaplygin} ball using {rotors.~II{\textquotedblright}}},
journal = {Russian journal of nonlinear dynamics},
pages = {127--132},
publisher = {mathdoc},
volume = {10},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2014_10_1_a8/}
}
TY - JOUR AU - Tatyana B. Ivanova AU - Elena N. Pivovarova TI - Comment on the paper by A.\,V.~Borisov, A.\,A.~Kilin, I.\,S.~Mamaev “How to control the Chaplygin ball using rotors.~II” JO - Russian journal of nonlinear dynamics PY - 2014 SP - 127 EP - 132 VL - 10 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2014_10_1_a8/ LA - ru ID - ND_2014_10_1_a8 ER -
%0 Journal Article %A Tatyana B. Ivanova %A Elena N. Pivovarova %T Comment on the paper by A.\,V.~Borisov, A.\,A.~Kilin, I.\,S.~Mamaev “How to control the Chaplygin ball using rotors.~II” %J Russian journal of nonlinear dynamics %D 2014 %P 127-132 %V 10 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ND_2014_10_1_a8/ %G ru %F ND_2014_10_1_a8
Tatyana B. Ivanova; Elena N. Pivovarova. Comment on the paper by A.\,V.~Borisov, A.\,A.~Kilin, I.\,S.~Mamaev “How to control the Chaplygin ball using rotors.~II”. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 1, pp. 127-132. http://geodesic.mathdoc.fr/item/ND_2014_10_1_a8/