Abstract




 
   

IJE TRANSACTIONS A: Basics Vol. 26, No. 10 (October 2013) 1243-1254   

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  RECEDING HORIZON BASED CONTROL OF DISTURBED UPRIGHT BALANCE WITH CONSIDERATION OF FOOT TILTING(RESEARCH NOTE)
 
B. Miripour Fard, A. Bagheri and A. S. Khoskbijari
 
( Received: February 08, 2013 – Accepted: April 18, 2013 )
 
 

Abstract    In some situations, when an external disturbance occurs, humans can rock stably backward and forward by lifting the toe or the heel to keep the upright balance without stepping. Many control schemes have been proposed for standing balance control under external disturbances without stepping. But, in most of them researchers have only considered a flat foot phase. In this paper a framework is presented that includes the foot tilting. This is done by hybrid modeling of the humanoid robot and also using a receding horizon based approach. The decision for the recovery pattern is done based on the evaluation of the Vertical Forces criterion. If the method predicts the tilting of the foot under disturbance, then the optimum trajectories are obtained for upper segments to return the robot to the secure posture in which the foot is flat (home posture). The obtained optimum trajectories are then tracked by a feedback controller. In the context of receding horizon approach the Extrapolated Center of Mass position has been used as the stability constraint. The results demonstrate the success of method to reproduce human-like balance recovery reactions under impulsive disturbances. The simulated results are compared with experimental data reported in the biomechanics literature.

 

Keywords    Hybrid Model, Receding Horizon Approach, Upright Balance, External Disturbances

 

چکیده    در برخی موقعيتها، اگر يک اغتشاش خارجی بر انسان در حالت ايستاده وارد شود، انسان می­تواند با رفتن بر روی پنجه و پا پاشنه پا و بدون نياز به گام­برداری، تعادل ديناميکی خود را حفظ کند و نيافتد. تاکنون طرح­های کنترلی بسيار زيادی برای کنترل ايستادن در برابر اغتشاش خارجی، بدون گام­برداری پيشنهاد شده است. در بيشتر طرح­های پيشنهاد شده، پژوهشگران جهت ساده­سازی مساله، فرض کرده­اند که در هنگام بازيابی تعادل، کف پا همواره افقی می­ماند. در اين مقاله چارچوبی ارايه می­شود که شامل دوران پا هم می­شود. اين کار از طريق مدل­سازی هايبريد و استفاده از طرح کنترلی بر اساس روش کنترل با افق پسرو انجام شده است. تصميم­گيری برای انتخاب الگوی بازيابی تعادل بر اساس ارزيابی معيار نيروی عمودی تکيه­گاهها در يک افق پيش­بينی انجام می­شود. اگر پيش­بينی­ها حاکی از دوران پا در اثر اغتشاش باشد، الگوی حرکتی مناسبی برای اعضای بالايي ربات (اعضاء دارای عملگر) به دست می­آيد تا کف پا (عضو بدون عملگر) را به حالت افقی برگرداند. الگوهای حرکتی به دست آمده توسط يک کنترل کننده پسخورد اجرا می­شوند. در روش کنترل با افق پسرو، معيار بردار برونيابی شده مرکز جرم به عنوان قيد پايداری استفاده شده است. نتايج، نشان دهنده موفقيت روش در توليد حرکاتی مشابه انسان در برابر اغتشاش ضربه­ای خارجی است. نتايج شبيه­سازی با نتايج تجربی موجود در منابع بيومکانيک مقايسه شده است.

References   

1.     Horak, F. B., "Postural orientation and equilibrium: What do we need to know about neural control of balance to prevent falls?", Age and Ageing,  Vol. 35, No. 2, (2006), 7-11.

2.     Alexandrov, A. V., Frolov, A. A., Horak, F., Carlson-Kuhta, P. and Park, S., "Feedback equilibrium control during human standing", Biological Cybernetics,  Vol. 93, No. 5, (2005), 309-322.

3.     Creath, R., Kiemel, T., Horak, F., Peterka, R. and Jeka, J., "A unified view of quiet and perturbed stance: Simultaneous co-existing excitable modes", Neuroscience letters,  Vol. 377, No. 2, (2005), 75-80.

4.     Qu, X., Nussbaum, M. A. and Madigan, M. L., "A balance control model of quiet upright stance based on an optimal control strategy", Journal of Biomechanics,  Vol. 40, No. 16, (2007), 3590-3597.

5.     Wilson, E. L., Madigan, M. L., Davidson, B. S. and Nussbaum, M. A., "Postural strategy changes with fatigue of the lumbar extensor muscles", Gait & Posture,  Vol. 23, No. 3, (2006), 348-354.

6.     Aftab, Z., Robert, T. and Wieber, P.-B., "Predicting multiple step placements for human balance recovery tasks", Journal of Biomechanics,  (2012).

7.     Sun, Y. and Wu, C. Q., "Stability analysis via the concept of lyapunov exponents: A case study in optimal controlled biped standing", International Journal of Control,  Vol. 85, No. 12, (2012), 1952-1966.

8.     Ghorbani, R., Wu, Q. and Wang, G. G., "Nearly optimal neural network stabilization of bipedal standing using genetic algorithm", Engineering Applications of Artificial Intelligence,  Vol. 20, No. 4, (2007), 473-480.

9.     Gorce, P., "Dynamic postural control method for biped in unknown environment", Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on,  Vol. 29, No. 6, (1999), 616-626.

10.   Abdallah, M. and Goswami, A., "A biomechanically motivated two-phase strategy for biped upright balance control", in Robotics and Automation, 2005. ICRA 2005. Proceedings of the IEEE International Conference on, IEEE, (2005), 1996-2001.

11.   Nenchev, D. N. and Nishio, A., "Ankle and hip strategies for balance recovery of a biped subjected to an impact", Robotica,  Vol. 26, No. 05, (2008), 643-653.

12.   Liu, C. and Atkeson, C. G., "Standing balance control using a trajectory library", in Intelligent Robots and Systems, IROS 2009. IEEE/RSJ International Conference on, IEEE, (2009), 3031-3036.

13.   Tahboub, K. A., "Biologically-inspired humanoid postural control", Journal of Physiology-Paris,  Vol. 103, No. 3, (2009), 195-210.

14.   Lee, S., Kim, M., Kim, J. and Choi, M.-T., "Receding horizon viability radius for stability of humanoid robot under external perturbation", Journal of Mechanical Science and Technology,  Vol. 24, No. 5, (2010), 1127-1139.

15.   Kanamiya, Y., Ota, S. and Sato, D., "Ankle and hip balance control strategies with transitions", in Robotics and Automation (ICRA), 2010 IEEE International Conference on, IEEE., (2010), 3446-3451.

16.   Stephens, B., "Push recovery control for force-controlled humanoid robots", Carnegie Mellon University, (2011)

17.   Vukobratovic, M., Milojevic, M., Tzafestas, S., Jovanovic, M. and Potkonjak, V., "Human-and-humanoid postures under external disturbances: Modeling, simulation, and robustness. Part 2: Simulation and robustness", Journal of Intelligent & Robotic Systems,  Vol. 63, No. 2, (2011), 211-231.

18.   Naderi, D., Sadeghi-Mehr, M. and Fard, B. M., "Optimization-based dynamic prediction of human postural response under tilting of base of support", International Journal of Humanoid Robotics,  Vol. 9, No. 02, (2012).

19.   Naderi, D., Miripour Fard, B. and Sadeghi-Mehr, M., "Optimal prediction of human postural response under anterior-posterior platform tilting", Communications in Nonlinear Science and Numerical Simulation,  (2012).

20.   Kouchaki, E., Wu, C. Q. and Sadigh, M. J., "Effects of constraints on standing balance control of a biped with toe-joints", International Journal of Humanoid Robotics,  Vol. 9, No. 03, (2012).

21.   Humphrey, L. and Hemami, H., "A computational human model for exploring the role of the feet in balance", Journal of Biomechanics,  Vol. 43, No. 16, (2010), 3199-3206.

22.   Sobotka, M., "Hybrid dynamical system methods for legged robot locomotion with variable ground contact", PhD thesis, Technische Universität München, (2007)

23.   Winter, D. A., "Biomechanics and motor control of human movement", Wiley. com,  (2009).

24.   Buss, M., Glocker, M., Hardt, M., Von Stryk, O., Bulirsch, R., and Schmidt, G., "Nonlinear hybrid dynamical systems: Modeling, optimal control, and applications, in Modelling, analysis, and design of hybrid systems", Springer, (2002), 311-335.

25.   Fard, B. M., Bagheri, A. and Nariman-Zadeh, N., "Limit cycle walker push recovery based on a receding horizon control scheme", Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering,  Vol. 226, No. 7, (2012), 914-926.

26.           Hof, A., Gazendam, M. and Sinke, W., "The condition for dynamic stability", Journal of Biomechanics,  Vol. 38, No. 1, (2005), 1-8. 





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