Development of control for the ankle joint simulator applied to the problem on vertical posture balance of a human

Authors

DOI:

https://doi.org/10.15587/1729-4061.2018.150321

Keywords:

optimal controller, vertical balance of a human, functioning of ankle joint, joint simulator

Abstract

The optimal ankle joint controller based on the model that describes the system of human vertical balance in response to small disturbances was developed. The method for optimization of the selection of control matrices was proposed, which leads to stabilization, taking into consideration the requirements of comfortable return of a human to the equilibrium position, minimization of the efforts of a simulator of the central nervous system (CNS).

With a view to understanding the ways of functioning of the CNS, the operation of its departments responsible for stabilization was analyzed, which makes it possible to apply this knowledge to the problem of the balance of the vertical posture. The research is limited to the study of functioning of the ankle joint in terms of its influence on the posture stabilization. The merit of this research is the development of a methodological platform for further simulation of functioning of the ankle, knee and hip joints in totality and determining the optimal choice of the CNS management strategy.

The research supports the hypothesis that at small disturbances in the sagittal plane, the key role in stabilization is played by the ankle joint. The law of the controller management was presented and its model implementation was carried out. To do this, we used the actual values of operating points, obtained based of the program platform of movements tracking Opti Flex Track 13 which simulates human movements in real time.

The results are of value in the process of studying the vertical stabilization of a human. Simulation of operation of different muscle groups taken together is essential for rehabilitation of patients with CNS problems at reduced muscle activity. The results are useful for the design of a functional electrical CNS stimulation controller, development of the technical rehabilitation facilities for people who are at risk of falling

Author Biographies

Olena Kuzmych, Lutsk National Technical University Lvivska str., 75, Lutsk, Ukraine, 43018

PhD, Associate Professor

Department of Computer Engineering and Cybersecurity

Jan Awrejcewicz, Lodz University of Technology Stefanowskiego, str., 1/15, Lodz, Poland, 90-537

Doctor of Technical Sciences, Professor

Department of Automation, Biomechanics and Mechatronics

Oksana Mekush, Lesya Ukrainka Eastern European National University Voli avе., 13, Lutsk, Ukraine, 43025

PhD, Senior Lecturer

Department of Mathematical Analysis

Petro Pekh, Lutsk National Technical University Lvivska str., 75, Lutsk, Ukraine, 43018

PhD, Associate Professor, Head of Department

Department of Computer Engineering and Cybersecurity

Katerina Bortnik, Lutsk National Technical University Lvivska str., 75, Lutsk, Ukraine, 43018

PhD, Associate Professor

Department of Computer Engineering and Cybersecurity

Elena Potomkina, Lutsk National Technical University Lvivska str., 75, Lutsk, Ukraine, 43018

PhD, Associate Professor

Department of Economics

Iryna Shubala, Lutsk National Technical University Lvivska str., 75, Lutsk, Ukraine, 43018

PhD, Associate Professor

Department of Economics

References

Kuo, A. D. (1995). An optimal control model for analyzing human postural balance. IEEE Transactions on Biomedical Engineering, 42 (1), 87–101. doi: https://doi.org/10.1109/10.362914

Wojnicz, W., Zagrodny, B., Ludwicki, M., Syczewska, M., Mrozowsky, J., Awrejcewicz, J. (2017). Approach for determination of functioning of lower limb muscles. 14th International Conference. Dynamical Systems – Theory and Application. Lodz. Available at: https://www.dys-ta.com/abs_view?pkey=agxzfmR5cy10YS1ocmRyEgsSBVBhcGVyGICAgKDRm78LDA

Golliday, C., Hemami, H. (1976). Postural stability of the two-degree-of-freedom biped by general linear feedback. IEEE Transactions on Automatic Control, 21 (1), 74–79. doi: https://doi.org/10.1109/tac.1976.1101142

Pandy, M. G., Zajac, F. E., Sim, E., Levine, W. S. (1990). An optimal control model for maximum-height human jumping. Journal of Biomechanics, 23(12), 1185–1198. doi: https://doi.org/10.1016/0021-9290(90)90376-e

Bobbert, M. F., van Ingen Schenau, G. J. (1988). Coordination in vertical jumping. Journal of Biomechanics, 21 (3), 249–262. doi: https://doi.org/10.1016/0021-9290(88)90175-3

Horak, F. B., Nashner, L. M. (1986). Central programming of postural movements: adaptation to altered support-surface configurations. Journal of Neurophysiology, 55 (6), 1369–1381. doi: https://doi.org/10.1152/jn.1986.55.6.1369

Nashner, L. M., McCollum, G. (1985). The organization of human postural movements: A formal basis and experimental synthesis. Behavioral and Brain Sciences, 8 (01), 135. doi: https://doi.org/10.1017/s0140525x00020008

Allum, J. H. J., Honegger, F., Pfaltz, C. R. (1989). Chapter 32 The role of stretch and vestibulo-spinal reflexes in the generation of human equilibriating reactions. Afferent Control of Posture and Locomotion, 399–409. doi: https://doi.org/10.1016/s0079-6123(08)62236-0

Hemami, H., Weimer, F., Robinson, C., Stockwell, C., Cvetkovic, V. (1978). Biped stability considerations with vestibular models. IEEE Transactions on Automatic Control, 23 (6), 1074–1079. doi: https://doi.org/10.1109/tac.1978.1101892

Hemami, H., Katbab, A. (1982). Constrained Inverted Pendulum Model For Evaluating Upright Postural Stability. Journal of Dynamic Systems, Measurement, and Control, 104 (4), 343. doi: https://doi.org/10.1115/1.3139720

Camana, P. C., He Mam I, H., Stockwell, C. W. (1977). Determination Of Feedback For Human Posture Control Without Physical Intervention. Journal of Cybernetics, 7 (3-4), 199–225. doi: https://doi.org/10.1080/01969727708927559

He, J., Levine, W. S., Loeb, G. E. (1991). Feedback gains for correcting small perturbations to standing posture. IEEE Transactions on Automatic Control, 36 (3), 322–332. doi: https://doi.org/10.1109/9.73565

Kuo, A. D., Zajac, F. E. (1993). A biomechanical analysis of muscle strength as a limiting factor in standing posture. Journal of Biomechanics, 26, 137–150. doi: https://doi.org/10.1016/0021-9290(93)90085-s

Kuo, A. D., Zajac, F. E. (1993). Chapter 31 Human standing posture: multi-joint movement strategies based on biomechanical constraints. Progress in Brain Research, 349–358. doi: https://doi.org/10.1016/s0079-6123(08)62294-3

Barin, K. (1989). Evaluation of a generalized model of human postural dynamics and control in the sagittal plane. Biological Cybernetics, 61 (1). doi: https://doi.org/10.1007/bf00204758

Horak, F. B., Nashner, L. M., Diener, H. C. (1990). Postural strategies associated with somatosensory and vestibular loss. Experimental Brain Research, 82 (1). doi: https://doi.org/10.1007/bf00230848

Kuo, A. D., Zajac, F. E. (1992). What is the nature of the feedforward component in motor Control. Behav. Brain Sci., 15, 767.

Zajac, F. E. (1989). Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. Critical Reviews in Biomedical Engineering, 17 (4), 359–411.

Zagrodny, B., Awrejcewicz, J. (2015). Cooperation of One and Multi-Joint Muscles. Nonlinear Dynamics and Systems Theory, 15 (1), 99–106.

Chen, M. Z. Q., Shen, K., Zhai, C. (2016). A biomechanical model of human muscular-skeletal system with inertial effects. 2016 35th Chinese Control Conference (CCC). doi: https://doi.org/10.1109/chicc.2016.7554841

Olszewski, H., Wojnicz, W., Wittbrodt, E. (2013). Method of Skeletal System Modelling. Archive of Mechanical Engineering, 60 (3), 335–346. doi: https://doi.org/10.2478/meceng-2013-0022

Kuzmych, O., Aitouche, A., Hajjaji, A. E., Telmoudi, A. J. (2017). Effective Lyapunov level set for nonlinear optimal control. Application to turbocharged diesel engine model. 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT). doi: https://doi.org/10.1109/codit.2017.8102564

Anderson, B. D. O., Moore, J. B. (1989). Optimal Control: Linear Quadratic Methods. Prentice-Hall International, Inc., 394.

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Published

2018-12-10

How to Cite

Kuzmych, O., Awrejcewicz, J., Mekush, O., Pekh, P., Bortnik, K., Potomkina, E., & Shubala, I. (2018). Development of control for the ankle joint simulator applied to the problem on vertical posture balance of a human. Eastern-European Journal of Enterprise Technologies, 6(7 (96), 49–57. https://doi.org/10.15587/1729-4061.2018.150321

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Section

Applied mechanics