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Analysis of the Results of Stabiolmetric Tests with a Stepwise Input Action in the Context of the Mechanics of Controlled Systems

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Abstract—Problems of optimal control were analyzed for a human motion model for stabilometric tests where the posture changes under a stepwise input action. The presence of a prominent “swing” and an “overshoot” are characteristic of the center-of-pressure trajectories recorded in the test. A one-dimensional inverted pendulum model was used in the study. The solution of the optimal control for the inverted pendulum motion controlled by coupling torque was put in correspondence with the test results. The problems of optimal speed-of-response control and linear–quadratic regulator were considered. The solution of these optimum problems was compared with the stabilometric test results. A modified algorithm was proposed for stabilometric data processing. This motion was shown to reach a stable motor pattern. The swing and overshoot were found to correspond to the acceleration and deceleration stages, respectively.

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Funding

This work was supported by the Russian Foundation for Basic Research (project no. 18-00-01590).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia

    P. A. Kruchinin

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  1. P. A. Kruchinin
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Correspondence to P. A. Kruchinin.

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Statement of compliance with standards of research involving humans as subjects. All procedures performed in studies involving human participants were in accordance with the ethical standards of the 1964 Helsinki Declaration and its later amendments. Informed consent was voluntarily provided by all individual participants involved in the study.

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Translated by T. Tkacheva

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Kruchinin, P.A. Analysis of the Results of Stabiolmetric Tests with a Stepwise Input Action in the Context of the Mechanics of Controlled Systems. BIOPHYSICS 64, 818–827 (2019). https://doi.org/10.1134/S0006350919050130

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  • DOI: https://doi.org/10.1134/S0006350919050130

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