Abstract
Animal walking is one of the most robust and adaptive locomotion mechanisms in the nature, involves sophisticated interactions between neural and biomechanical levels. It has been suggested that the coordination of this process is done in a hierarchy of levels. The lower layer contains autonomous interactions between muscles and spinal cord and the higher layer (e.g. the brain cortex) interferes when needed. Inspiringly, in this study we present a hierarchical control architecture with a state of the art intrinsic online learning mechanism for a dynamically walking 5-link biped robot with compliant knee joints. As the biological counterpart, the system is controlled by independent control units for each joint at the lower layer. In order to stabilize the system, these units are driven by a sensory feedback from the posture of the robot. A central stabilizing controller at the upper layer arises in case of failing the units to stabilize the system. Consequently, the units adapt themselves by including online learning mechanism. We show that using this architecture, a highly unstable system can be stabilized with identical simple controller units even though they do not have any feedback from all other units of the robot. Moreover, this architecture may help to better understand the complex motor tasks in human.
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References
D. Kulic, G. Venture, K. Yamane, E. Demircan, I. Mizuuchi, and K. Mombaur, “Anthropomorphic movement analysis and synthesis: a survey of methods and applications,” IEEE Transactions on Robotics, vol. 32, pp. 776–795, Aug. 2016.
Y. Hurmuzlu, F. Génot, and B. Brogliato, “Modeling, stability and control of biped robots—a general framework,” Automatica, vol. 40, pp. 1647–1664, Oct. 2004.
M. Vukobratović, B. Borovac, D. Surla, and D. Stokic, Biped Locomotion, Dynamics, Stability, Control and Application, Springer Science & Business Media, Berlin, Heidelberg, 1990.
A. M. Khan, D.-w. Yun, M. A. Ali, K. M. Zuhaib, C. Yuan, J. Iqbal, J. Han, K. Shin, and C. Han, “Passivity based adaptive control for upper extremity assist exoskeleton,” International Journal of Control, Automation and Systems, vol. 14, pp. 291–300, Feb 2016.
J. W. Grizzle, C. Chevallereau, R. W. Sinnet, and A. D. Ames, “Models, feedback control, and open problems of 3D bipedal robotic walking,” Automatica, vol. 50, no. 8, pp. 1955–1988, 2014.
T. Luksch, Human-like Control of Dynamically Walking Bipedal Robots, Ph.D. Thesis, University of Kaiserslautern, Kaiserslautern, 2010.
N. M. Bora, G. V. Molke, and H. R. Munot, “Understanding human gait: a survey of traits for biometrics and biomedical applications,” Proc. of International Conference on Energy Systems and Applications, IEEE, pp. 723–728, 2015.
C. Chevallereau and Y. Aoustin, “Optimal reference trajectories for walking and running of a biped robot,” Robotica, vol. 19, pp. 557–569, Sept. 2001.
R. Heydari and M. Farrokhi, “Robust model predictive control of biped robots with adaptive on-line gait generation,” International Journal of Control, Automation and Systems, vol. 15, pp. 329–344, Feb 2017.
J. Cronin, R. Frost, and R. Willgoss, “Walking biped robot with distributed hierarchical control system,” Proceedings of IEEE International Symposium on Computational Intelligence in Robotics and Automation (CIRA’ 99), IEEE, pp. 150–156, 1999.
T. Odashima, Z. Luo, and S. Hosoe, “Hierarchical control structure of a multilegged robot for environmental adaptive locomotion,” Artificial Life and Robotics, vol. 6, pp. 44–51, March 2002.
P. Arena, L. Fortuna, M. Frasca, and G. Sicurella, “An adaptive, self-organizing dynamical system for hierarchical control of bio-inspired locomotion,” IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 34, pp. 1823–1837, August 2004.
J. H. Barron-Zambrano, C. Torres-Huitzil, and B. Girau, “Perception-driven adaptive CPG-based locomotion for hexapod robots,” Neurocomputing, vol. 170, pp. 63–78, 12 2015.
J. W. Grizzle, G. Abba, and F. Plestan, “Asymptotically stable walking for biped robots: analysis via systems with impulse effects,” IEEE Transactions on Automatic Control, vol. 46, no. 1, pp. 51–64, 2001.
F. Plestan, J. W. Grizzle, E. R. Westervelt, and G. Abba, “Stable walking of a 7-DOF biped robot,” IEEE Transactions on Robotics and Automation, vol. 19, no. 4, pp. 653–668, 2003.
E. R. Westervelt, J. W. Grizzle, and D. E. Koditschek, “Hybrid zero dynamics of planar biped walkers,” IEEE Transactions on Automatic Control, vol. 48, pp. 42–56, Jan. 2003.
Y. Hurmuzlu, “Dynamics of bipedal gait part II-stability analysis of a planar five-link biped,” Journal of Applied Mechanics, vol. 60, pp. 337–343, June 1993.
D. Djoudi, C. Chevallereau, and Y. Aoustin, “Optimal reference motions for walking of a biped robot,” Proceedings of IEEE International Conference on Robotics and Automation (ICRA 2005), IEEE, pp. 2002–2007, 2005.
M. Hardt, K. Kreutz-Delgado, and J. W. Helton, “Optimal biped walking with a complete dynamical model,” Proceedings of the 38th IEEE Conference on Decision and Control, IEEE, pp. 2999–3004, 1999.
A. C. de Pina Filho, M. S. Dutra, and L. Santos, “Modelling of bipedal robots using coupled nonlinear oscillators,” Mobile Robots towards New Applications (A. Lazinica, ed.), ch. 4, pp. 55–78, InTech, 2006.
T. Buschmann, A. Ewald, A. von Twickel, and A. Büschges, “Controlling legs for locomotion-insights from robotics and neurobiology.,” Bioinspiration and Biomimetics, vol. 10, p. 041001, June 2015.
E. R. Westervelt and J. W. Grizzle, “Design of asymptotically stable walking for a 5-link planar biped walker via optimization,” Proceedings of IEEE International Conference on Robotics and Automation (ICRA’ 02), IEEE, pp. 3117–3122, 2002.
C. Liu and J. Su, “Biped walking control using offline and online optimization,” Proc. of 30th Chinese Control Conference (CCC), Yantai), pp. 3472–3477, IEEE, 2011.
F. Verhulst, Methods and Applications of Singular Perturbations, vol. 50 of Boundary Layers and Multiple Timescale Dynamics, Springer Science & Business Media, New York, NY, June 2005.
E. R. Westervelt, J.W. Grizzle, C. Chevallereau, J. H. Choi, and B. Morris, Feedback Control of Dynamic Bipedal Robot Locomotion, CRC Press, June 2007.
S. Chen, C. F. N. Cowan, and P. M. Grant, “Orthogonal least squares learning algorithm for radial basis function networks,” IEEE Transactions on Neural Networks, vol. 2, pp. 302–309, Mar. 1991.
D. Saad, On-Line Learning in Neural Networks, Cambridge University Press, July 2009.
H. K. Khalil, Nonlinear Systems, Pearson Education, Prentice Hall, 2002.
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Recommended by Associate Editor Kang-Hyun Jo under the direction of Editor Hyun-Seok Yang.
Masoud Yazdani received his B.S. and M.Sc. degrees in mechanical engineering from Sharif University, Tehran, Iran, in 2008 and 2010 respectively. He is currently pursuing a Ph.D. degree in the Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran. His research interests include development, modeling and control of bio-inspired robots, especially control of legged robots.
Hassan Salarieh received his BSc in mechanical engineering and also pure mathematics from Sharif University of Technology, Tehran, Iran in 2002. He graduated from the same university with M.Sc and Ph.D. degrees in mechanical engineering in 2004 and 2008. At present, he is a professor in mechanical engineering at Sharif University of Technology. His fields of research are dynamical systems, control theory and stochastic systems.
Mahmood Saadat Foumani received his Ph.D. degree in Mechanical Engineering from Sharif University of Technology, Tehran, Iran in 2002. He was a Faculty member at Semnan University from 2002 to 2006 and is now a faculty member of Sharif University of Technology, Mechanical Engineering Department. He teaches courses at the ‘Applied Design group’ at undergraduate and graduate levels. His teaching focuses on mechanical Engineering design, vehicle dynamics and chassis design and advanced mathematics.
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Yazdani, M., Salarieh, H. & Foumani, M.S. Bio-inspired Decentralized Architecture for Walking of a 5-link Biped Robot with Compliant Knee Joints. Int. J. Control Autom. Syst. 16, 2935–2947 (2018). https://doi.org/10.1007/s12555-017-0578-0
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DOI: https://doi.org/10.1007/s12555-017-0578-0