 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 45, Issue 2 / 2010 | Next article >> |
| V.V. Aleksandrov, M. Reyes-Romero, G.Yu. Sidorenko, and R. Temoltzi-Auila, "Stability of Controlled Inverted Pendulum under Permanent Horizontal Perturbations of the Supporting Point," Mech. Solids. 45 (2), 187-193 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
2 |
Pages |
187-193 |
| DOI |
10.3103/S0025654410020044 |
| Title |
Stability of Controlled Inverted Pendulum under Permanent Horizontal Perturbations of the Supporting Point |
| Author(s) |
V.V. Aleksandrov (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992 Russia, vladimiralexandrov366@hotmail.com)
M. Reyes-Romero (Autonomous University of Puebla, Puebla, Pue, 72000 Mexico, maribelrr@gmail.com)
G.Yu. Sidorenko (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992 Russia, galya321@mail.ru)
R. Temoltzi-Auila (Autonomous University of Puebla, Puebla, Pue, 72000 Mexico) |
| Abstract |
We consider the problem of choosing a test perturbation of a movable foundation of a single-link inverted pendulum so as to test a vestibular prosthesis prototype located at the top of this pendulum in an extreme situation. The obtained results permit concluding that the information transmitted from otolithic organs of the human vestibular system to muscles of the locomotor apparatus is very important and improves the quality of stabilization of the human vertical posture preventing the possible fall. |
| Keywords |
vestibular prosthesis, vertical position stabilization, inverted pendulum, self-excited vibrations, stability under permanent perturbations |
| References |
| 1. | V. A. Sadovnichii, V. V. Aleksandrov, T. B. Aleksandrova, et al.,
"Vestibular Function under Extremal Conditions of Personal Navigation and Its Correction,"
Vestnik Moskov. Univ. Ser. I. Mat. Mekh.,
No. 4, 25-35 (2003).
[Moscow Univ. Math. Bull. (Engl. Transl.)
58 (4), 1-12 (2003)] |
| 2. | Torrence D. J. Welsh and Lena H. Ting,
"A Feedback Model Reproduces Muscle Activity during Human Postural Responses to Support-Surface Translations,"
J. Neurophysiol.
99, 1032-1038 (2008). |
| 3. | V. A. Sadovnichii, V. V. Aleksandrov, T.B. Aleksandrova, et al.,
"Dynamical Imitation of Stabilization and Loss of Vertical Posture and Testing of Prototypes of Vestibular Prosthesis,"
in Contemporary Problems in Mathematics and Mechanics,
Vol. 1: Applied Studies, No. 1
(Izd-vo MGU, Moscow, 2009),
pp. 154-164
[in Russian]. |
| 4. | I. V. Novozhilov,
Fractional Analysis
(Izd-vo Mekh.-Mat. Fak. MGU, Moscow, 2000)
[in Russian]. |
| 5. | V. V. Aleksandrov, V. G. Boltyanskii, S. S. Lemak, et al.,
Optimization of Dynamics of Controlled Systems
(Izd-vo Mekh.-Mat. Fak. MGU, Moscow, 2000)
[in Russian]. |
| 6. | V. V. Aleksandrov, O. V. Aleksandrova, I. P. Prikhod'ko, and R. Temoltzi-Auila,
"Synthesis of Self-Oscillations,"
Vestnik Moskov. Univ. Ser. I. Mat. Mekh.,
62 (3), 41-43 (2007).
[Moscow Univ. Mech. Bull. (Engl. Transl.)
62 (3), 65-68 (2007)] |
| 7. | I. G. Malkin,
Theory of Motion Stability
(Nauka, Moscow, 1966)
[in Russian]. |
|
| Received |
08 June 2009 |
| Link to Fulltext |
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