Geodesic
Optimal control and analysis of results of stabilometric tests with step disturbances on human sensor systems
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2016), pp. 62-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of optimal control is considered for a human motion model in the case of stabilometric tests when the posture of a person changes under a stepwise input action. Such a situation is observed in the case of a galvanic vestibular stimulation or a vibrational stimulation of muscles and tendon proprioceptors. The stabilometric test with visual stepwise action is widespread in Russia. A characteristic peculiarity of the center of pressure (COP) trajectories for these tests is the presence of clearly expressed swing-up and overshoot. The solution of optimal control for the inverted pendulum motion controlled by coupling torque is put in correspondence with the results of such tests. The problems of optimal speed-of-response control and linear-quadratic regulator are considered. The solution of these optimum problems is compared with the results of stabilometric tests, which allows one to state a hypothesis on the reasons of the above effects. 
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     title = {Optimal control and analysis of results of stabilometric tests with step disturbances on human sensor systems},
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P. A. Kruchinin. Optimal control and analysis of results of stabilometric tests with step disturbances on human sensor systems. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2016), pp. 62-66. http://geodesic.mathdoc.fr/item/VMUMM_2016_2_a13/

[1] Murtazina E.P., “Funktsionalnye osobennosti vypolneniya stabilograficheskikh testov u ispytuemykh s razlichnymi antropometricheskimi dannymi”, Izv. YuFU. Tekhn. nauki, 2009, no. 9(98), 123–127

[2] Shlykov V.Yu., Kireeva T.B., Levik Yu.S., “Izmeneniya stabilograficheskikh pokazatelei u bolnykh parkinsonizmom”, Izv. YuFU. Tekhn. nauki, 2008, no. 6(83), 112–114

[3] Horak F.B., Hlavacka F., “Somatosensory loss increases vestibulospinal sensitivity”, J. Neurophysiol., 86 (2001), 575–585 | DOI

[4] Smetanin B.N., Popov K.E., Kozhina G.V., “Specific and nonspecific visual influences on the stability of the vertical posture in humans”, Neurophysiol., 36:1 (2004), 65–72 | DOI

[5] Kruchinin P.A., “Mekhanicheskie modeli v stabilometrii”, Ros. zhurn. biomekhan., 18:2 (2014), 184–193

[6] Beletskii V.V., Dvunogaya khodba, Nauka, M., 1984 | MR

[7] Happee R., “Time optimality in the control of human movements”, Biol. Cybern., 66 (1992), 357–366 | DOI

[8] Kuo A.D., “An optimal control model for analyzing human postural balance”, IEEE Trans. Biomed. Eng., 42:1 (1995), 87–101 | DOI

[9] Bonnet V., Ramdani S., Fraisse P., at al., “A structurally optimal control model for predicting and analyzing human postural coordination”, J. Biomech., 44:11 (2011), 2123–2128 | DOI

[10] Kruchinin P.A., Kasatkin E.A., “Stabilometricheskii test so stupenchatym vozdeistviem i zadacha optimalnogo bystrodeistviya”, Izv. YuFU. Tekhn. nauki, 2014, no. 10(159), 254–260

[11] Kruchinin P.A., Kasatkin E.A., Troitskii K.A., “Nekotorye zadachi optimalnogo upravleniya i analiz rezultatov stabilometricheskogo “testa so stupenchatym vozdeistviem””, Biomekhanika-2014, Mat-ly XI Vseros. konf., Perm, 2014, 130–133

[12] Aleksandrov V.V., Zlochevskii S.I., Lemak S.S., Parusnikov N.A., Vvedenie v dinamiku upravlyaemykh sistem, Izd-vo TsPI pri mekh.-mat. f-te MGU, M., 1993

[13] Hof A.L., “Muscle mechanics and neuromuscular control”, J. Biomech., 36:7 (2003), 1031–1038 | DOI

[14] Thompson B.J., Ryan E.D.., Herda T.J., at al., “Consistency of rapid muscle force characteristics: influence of muscle contraction onset detection methodology”, J. Electromyogr. and Kines., 22:6 (2012), 893–900 | DOI