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Regul. Chaotic Dyn., 2014, Volume 19, Issue 1, Pages 140–143 (Mi rcd145)  

This article is cited in 11 scientific papers (total in 11 papers)

Comments on the Paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev "How to Control the Chaplygin Ball Using Rotors. II"

Tatiana B. Ivanova, Elena N. Pivovarova

Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia

Abstract: 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

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation NSh-2964.2014.1
MD-2324.2013.1
MK-2171.2014.1
1.1248.2011
This work was supported by Analytic Departmental Target Program “Development of Scientific Potential of Higher Schools” for 2012–2014, no.1.1248.2011, the Grant of the President of the Russian Federation for Support of Leading Scientific Schools NSh-2964.2014.1, the grant of the President of the Russian Federation for the Support of Young Doctors of Science (MD-2324.2013.1) and Candidates of Science (MK-2171.2014.1).


DOI: https://doi.org/10.1134/S1560354714010092

References: PDF file   HTML file

Bibliographic databases:

Document Type: Article
MSC: 70F40, 70E18
Received: 16.11.2013
Language: English

Citation: Tatiana B. Ivanova, Elena N. Pivovarova, “Comments on the Paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev "How to Control the Chaplygin Ball Using Rotors. II"”, Regul. Chaotic Dyn., 19:1 (2014), 140–143

Citation in format AMSBIB
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\by Tatiana B. Ivanova, Elena N. Pivovarova
\paper Comments on the Paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev "How to Control the Chaplygin Ball Using Rotors. II"
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 1
\pages 140--143
\mathnet{http://mi.mathnet.ru/rcd145}
\crossref{https://doi.org/10.1134/S1560354714010092}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3181041}
\zmath{https://zbmath.org/?q=an:06506695}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897867190}


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    Citing articles on Google Scholar: Russian citations, English citations
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    Comments

    This publication is cited in the following articles:
    1. Yury L. Karavaev, Alexander A. Kilin, “The Dynamics and Control of a Spherical Robot with an Internal Omniwheel Platform”, Regul. Chaotic Dyn., 20:2 (2015), 134–152  mathnet  crossref  mathscinet  zmath  adsnasa  elib
    2. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Hamiltonization of elementary nonholonomic systems”, Russ. J. Math. Phys., 22:4 (2015), 444–453  crossref  mathscinet  zmath  isi  scopus
    3. Yu. L. Karavaev, A. A. Kilin, “Dinamika sferorobota s vnutrennei omnikolesnoi platformoi”, Nelineinaya dinam., 11:1 (2015), 187–204  mathnet  elib
    4. Alexey V. Borisov, Ivan S. Mamaev, “Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics”, Regul. Chaotic Dyn., 21:2 (2016), 232–248  mathnet  crossref  mathscinet  zmath  elib
    5. Yu. L. Karavaev, A. A. Kilin, “Nonholonomic dynamics and control of a spherical robot with an internal omniwheel platform: theory and experiments”, Proc. Steklov Inst. Math., 295 (2016), 158–167  mathnet  crossref  crossref  mathscinet  isi  elib
    6. Evgeny V. Vetchanin, Alexander A. Kilin, Ivan S. Mamaev, “Control of the Motion of a Helical Body in a Fluid Using Rotors”, Regul. Chaotic Dyn., 21:7-8 (2016), 874–884  mathnet  crossref
    7. E. V. Vetchanin, A. A. Kilin, “Upravlenie dvizheniem neuravnoveshennogo tyazhelogo ellipsoida v zhidkosti s pomoschyu rotorov”, Nelineinaya dinam., 12:4 (2016), 663–674  mathnet  crossref  mathscinet  elib
    8. V. Kozlov, “The phenomenon of reversal in the Euler–Poincaré–Suslov nonholonomic systems”, J. Dyn. Control Syst., 22:4 (2016), 713–724  crossref  mathscinet  zmath  isi  scopus
    9. Alexander A. Kilin, Elena N. Pivovarova, “The Rolling Motion of a Truncated Ball Without Slipping and Spinning on a Plane”, Regul. Chaotic Dyn., 22:3 (2017), 298–317  mathnet  crossref  mathscinet
    10. A. V. Borisov, E. V. Vetchanin, A. A. Kilin, “Control of the Motion of a Triaxial Ellipsoid in a Fluid Using Rotors”, Math. Notes, 102:4 (2017), 455–464  mathnet  crossref  crossref  mathscinet  isi  elib
    11. T. B. Ivanova, A. A. Kilin, E. N. Pivovarova, “Controlled motion of a spherical robot with feedback. I”, J. Dyn. Control Syst., 24:3 (2018), 497–510  crossref  mathscinet  zmath  isi  scopus
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