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Stability of controlled inverted pendulum under permanent horizontal perturbations of the supporting point

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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.

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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).

    Article  Google Scholar 

  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].

    Google Scholar 

  4. I. V. Novozhilov, Fractional Analysis (Izd-vo Mekh.-Mat. Fak. MGU, Moscow, 2000) [in Russian].

    Google Scholar 

  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].

    Google Scholar 

  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)]

    Google Scholar 

  7. I. G. Malkin, Theory of Motion Stability (Nauka, Moscow, 1966) [in Russian].

    MATH  Google Scholar 

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Correspondence to V. V. Aleksandrov.

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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.

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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

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  • DOI: https://doi.org/10.3103/S0025654410020044

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