Analysis of Balance of Quadrupedal Robotic Walk using Measure of Balance Margin

  • Kim, Byoung-Ho (Biomimetics and Intelligent Robotics Lab., Department of Mechatronics Engineering, Kyungsung University)
  • Received : 2013.01.03
  • Accepted : 2013.06.12
  • Published : 2013.06.25


In this study, we analyze the balance of quadruped walking robots. For this purpose, a simplified polygonal model of a quadruped walking configuration is considered. A boundary-range-based balance margin is used for determining the system stability of the polygonal walking configuration considered herein. The balance margin enables the estimation of the walking configuration's balance for effective walking. The usefulness of the balance margin is demonstrated through exemplary simulations. Furthermore, balance compensation by means of foot stepping is addressed.


Supported by : Kyungsung University


  1. R. Siegwart and I. R. Nourbakhsh, Introduction to Autonomous Mobile Robots, Cambridge: MIT Press, 2004.
  2. G. S. Hornby, S. Takamura, T. Yamamoto, and M. Fujita, "Autonomous evolution of dynamic gaits with two quadruped robots," IEEE Transactions on Robotics, vol. 21, no. 3, pp. 402-410, Jun. 2005.
  3. Boston Dynamics, "Changing your idea of what robots can do," Available
  4. R. B. Mcghee and G. Iswandhi, "Adaptive locomotion for a multilegged robot over rough terrain," IEEE Transactions on Systems, Man, and Cybernetics, vol. 9, no. 4, pp. 176-182, Apr. 1979.
  5. C. Zang and S. Song, "Stability analysis of wave-crab gaits of a quadruped," Journal of Robotic Systems, vol. 7, no. 2, pp. 243-276, Apr. 1990.
  6. B. H. Kim, "Performance index-based evaluation of quadruped robotic walking configuration," International Journal of Fuzzy Logic and Intelligent Systems, vol. 10, no. 4, pp. 308-313, Dec. 2010.
  7. B. H. Kim, "Analysis on boundary condition for standing balance of four-legged robots," Journal of Korean Institute of Intelligent Systems, vol. 21, no. 6, pp. 673-678, Dec. 2011.
  8. D. A. Messuri and C. A. Klein, "Automatic body regulation for maintaining stability of a legged vehicle during rough-terrain locomotion," IEEE Journal of Robotics and Automation, vol. RA-1, no. 3, pp. 132-141, Sep. 1985.
  9. E. Garcia and P. Gonzalez de Santos, "An improved energy stability margin for walking machines subject to dynamic effects," Robotica, vol. 23, no. 1, pp. 13-20, Jan. 2005.
  10. T. Bretl and S. Lall, "Testing static equilibrium for legged robots," IEEE Transactions on Robotics, vol. 24, no. 4, pp. 794-807, Aug. 2008.
  11. B. H. Kim, "Analysis on effective walking pattern for multi-legged robots," Journal of Korean Institute of Intelligent Systems, vol. 19, no. 5, pp. 622-628, Oct. 2009.

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