Skip to main content
Log in

Bio-inspired Decentralized Architecture for Walking of a 5-link Biped Robot with Compliant Knee Joints

  • Regular Papers
  • Robot and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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.

    Article  Google Scholar 

  2. 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.

    Article  MathSciNet  MATH  Google Scholar 

  3. M. Vukobratović, B. Borovac, D. Surla, and D. Stokic, Biped Locomotion, Dynamics, Stability, Control and Application, Springer Science & Business Media, Berlin, Heidelberg, 1990.

    Book  MATH  Google Scholar 

  4. 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.

    Article  Google Scholar 

  5. 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.

    Article  MathSciNet  MATH  Google Scholar 

  6. T. Luksch, Human-like Control of Dynamically Walking Bipedal Robots, Ph.D. Thesis, University of Kaiserslautern, Kaiserslautern, 2010.

    Google Scholar 

  7. 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.

    Google Scholar 

  8. C. Chevallereau and Y. Aoustin, “Optimal reference trajectories for walking and running of a biped robot,” Robotica, vol. 19, pp. 557–569, Sept. 2001.

    Article  Google Scholar 

  9. 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.

    Article  Google Scholar 

  10. 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.

    Google Scholar 

  11. 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.

    Article  Google Scholar 

  12. 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.

    Article  Google Scholar 

  13. 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.

    Article  Google Scholar 

  14. 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.

    Article  MathSciNet  MATH  Google Scholar 

  15. 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.

    Article  Google Scholar 

  16. 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.

    Article  MathSciNet  MATH  Google Scholar 

  17. 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.

    Article  Google Scholar 

  18. 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.

    Chapter  Google Scholar 

  19. 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.

    Google Scholar 

  20. 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.

    Google Scholar 

  21. 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.

    Google Scholar 

  22. 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.

    Google Scholar 

  23. 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.

    Google Scholar 

  24. 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.

    MATH  Google Scholar 

  25. 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.

    Book  Google Scholar 

  26. 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.

    Article  Google Scholar 

  27. D. Saad, On-Line Learning in Neural Networks, Cambridge University Press, July 2009.

    MATH  Google Scholar 

  28. H. K. Khalil, Nonlinear Systems, Pearson Education, Prentice Hall, 2002.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hassan Salarieh.

Additional information

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.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-017-0578-0

Keywords

Navigation