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

  • Masoud Yazdani
  • Hassan SalariehEmail author
  • Mahmoud Saadat Foumani
Regular Papers Robot and Applications


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.


Biped walking dcentralized control dynamic robot hierarchical control legged locomotion online learning 


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  1. [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.CrossRefGoogle Scholar
  2. [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.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    M. Vukobratović, B. Borovac, D. Surla, and D. Stokic, Biped Locomotion, Dynamics, Stability, Control and Application, Springer Science & Business Media, Berlin, Heidelberg, 1990.CrossRefzbMATHGoogle Scholar
  4. [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.CrossRefGoogle Scholar
  5. [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.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    T. Luksch, Human-like Control of Dynamically Walking Bipedal Robots, Ph.D. Thesis, University of Kaiserslautern, Kaiserslautern, 2010.Google Scholar
  7. [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. [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.CrossRefGoogle Scholar
  9. [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.CrossRefGoogle Scholar
  10. [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. [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.CrossRefGoogle Scholar
  12. [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.CrossRefGoogle Scholar
  13. [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.CrossRefGoogle Scholar
  14. [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.MathSciNetCrossRefzbMATHGoogle Scholar
  15. [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.CrossRefGoogle Scholar
  16. [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.MathSciNetCrossRefzbMATHGoogle Scholar
  17. [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.CrossRefGoogle Scholar
  18. [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.CrossRefGoogle Scholar
  19. [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. [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. [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. [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. [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. [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.zbMATHGoogle Scholar
  25. [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.CrossRefGoogle Scholar
  26. [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.CrossRefGoogle Scholar
  27. [27]
    D. Saad, On-Line Learning in Neural Networks, Cambridge University Press, July 2009.zbMATHGoogle Scholar
  28. [28]
    H. K. Khalil, Nonlinear Systems, Pearson Education, Prentice Hall, 2002.zbMATHGoogle Scholar

Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Masoud Yazdani
    • 1
  • Hassan Salarieh
    • 1
    Email author
  • Mahmoud Saadat Foumani
    • 1
  1. 1.School of Mechanical EngineeringSharif University of TechnologyTehranIran

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