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.
Similar content being viewed by others
References
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)]
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).
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].
I. V. Novozhilov, Fractional Analysis (Izd-vo Mekh.-Mat. Fak. MGU, Moscow, 2000) [in Russian].
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].
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)]
I. G. Malkin, Theory of Motion Stability (Nauka, Moscow, 1966) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.V. Aleksandrov, M. Reyes-Romero, G.Yu. Sidorenko, R. Temoltzi-Auila, 2010, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2010, No. 2, pp. 41–48.
About this article
Cite this article
Aleksandrov, V.V., Reyes-Romero, M., Sidorenko, G.Y. et al. Stability of controlled inverted pendulum under permanent horizontal perturbations of the supporting point. Mech. Solids 45, 187–193 (2010). https://doi.org/10.3103/S0025654410020044
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654410020044