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Bio-inspired controller for a robot cheetah with a neural mechanism controlling leg muscles

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Abstract

The realization of a high-speed running robot is one of the most challenging problems in developing legged robots. The excellent performance of cheetahs provides inspiration for the control and mechanical design of such robots. This paper presents a three-dimensional model of a cheetah that predicts the locomotory behaviors of a running cheetah. Applying biological knowledge of the neural mechanism, we control the muscle flexion and extension during the stance phase, and control the positions of the joints in the flight phase via a PD controller to minimize complexity. The proposed control strategy is shown to achieve similar locomotion of a real cheetah. The simulation realizes good biological properties, such as the leg retraction, ground reaction force, and spring-like leg behavior. The stable bounding results show the promise of the controller in high-speed locomotion. The model can reach 2.7 m×s−1 as the highest speed, and can accelerate from 0 to 1.5 m×s−1 in one stride cycle. A mechanical structure based on this simulation is designed to demonstrate the control approach, and the most recently developed hindlimb controlled by the proposed controller is presented in swinging-leg experiments and jump-force experiments.

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References

  1. Muybridge E. Animals in Motion, Chapman and Hall, London, UK, 1899.

    Google Scholar 

  2. Raibert M H. Legged Robots That Balance, The MIT Press, Cambridge, Massachusetts, USA, 1986.

    MATH  Google Scholar 

  3. Raibert M, Chepponis M, Jr Brown H. Running on four legs as though they were one. IEEE Journal of Robotics and Automation, 1986, 2, 70–82.

    Article  Google Scholar 

  4. Raibert M H. Running with symmetry. The International Journal of Robotics Research, 1986, 5, 3–19.

    Article  Google Scholar 

  5. Poulakakis I. Experimentally validated bounding models for the Scout II quadrupedal robot. IEEE International Conference on Robotics and Automation, New Orleans, USA, 2004, 2595–2600.

    Google Scholar 

  6. Seyfarth A, Geyer H, Gunther M, Blickhan R. A movement criterion for running. Journal of Biomechanics, 2002, 35, 649–655.

    Article  Google Scholar 

  7. Schultz G, Mombaur K. Modeling and optimal control of human-like running. IEEE/ASME Transactions on Mechatronics, 2010, 15, 783–792.

    Article  Google Scholar 

  8. Collins S H, Wisse M, Ruina A. A three-dimensional passive-dynamic walking robot with two legs and knees. The International Journal of Robotics Research, 2001, 20, 607–615.

    Article  Google Scholar 

  9. Boston Dynamics. Cheetah - Fast Legged Robot, [2012-6-2], http://www.bostondynamics.com/robot_cheetah.html

  10. Palmer L R, Orin D E, Marhefka D W, Schmiedeler J P, Waldron K J. Intelligent control of an experimental articulated leg for a galloping machine. IEEE International Conference on Robotics and Automation, Taipei, 2003, 3821–3827.

    Google Scholar 

  11. Marhefka D W, Orin D E, Schmiedeler J P, Waldron K J. Intelligent control of quadruped gallops. IEEE/ASME Transactions on Mechatronics, 2003, 8, 446–456.

    Article  Google Scholar 

  12. Estremera J, Waldron K J. Thrust control, stabilization and energetics of a quadruped running robot. The International Journal of Robotics Research, 2008, 27, 1135–1151.

    Article  Google Scholar 

  13. Palmer L R, Orin D E. Intelligent control of high-speed turning in a quadruped. Journal of Intelligent & Robotic Systems, 2010, 58, 47–68.

    Article  MATH  Google Scholar 

  14. Kimura H, Fukuoka Y, Cohen A H. Adaptive dynamic walking of a quadruped robot on natural ground based on biological concepts. International Journal of Robotics Research, 2007, 26, 475–490.

    Article  Google Scholar 

  15. Lewis M A, Bunting M R, Salemi B, Hoffmann H. Toward ultra high speed locomotors: Design and test of a cheetah robot hind limb. IEEE International Conference on Robotics and Automation, Shanghai, China, 2011, 1990–1996.

    Google Scholar 

  16. Niiyama R, Nishikawa S, Kuniyoshi Y. Biomechanical approach to open-loop bipedal running with a musculoskeletal athlete robot. Advanced Robotics, 2012, 26, 383–398.

    Article  Google Scholar 

  17. Yamada Y, Nishikawa S, Shida K, Niiyama R, Kuniyoshi Y. Neural-body coupling for emergent locomotion: A musculoskeletal quadruped robot with spinobulbar model. IEEE/RSJ International Conference on Intelligent Robots and Systems, San Francisco, CA, USA, 2011, 1499–1506.

    Google Scholar 

  18. Hudson P E, Corr S A, Payne-Davis R C, Clancy S N, Lane E, Wilson A M. Functional anatomy of the cheetah (Acinonyx jubatus) forelimb. Journal of Anatomy, 2011, 218, 375–385.

    Article  Google Scholar 

  19. Hudson P E, Corr S A, Payne-Davis R C, Clancy S N, Lane E, Wilson A M. Functional anatomy of the cheetah (Acinonyx jubatus) hindlimb. Journal of Anatomy, 2011, 218, 363–374.

    Article  Google Scholar 

  20. Hildebrand M. Further studies on locomotion of the cheetah. Journal of Mammalogy, 1961, 42, 84–91.

    Article  Google Scholar 

  21. Hildebrand M. Motions of the running cheetah and horse. Journal of Mammalogy, 1959, 40, 81–95.

    Article  Google Scholar 

  22. Scott S H, Brown I E, Loeb G E. Mechanics of feline soleus: I. Effect of fascicle length and velocity on force output. Journal of Muscle Research and Cell Motility, 1996, 17, 207–219.

    Article  Google Scholar 

  23. Brown I E, Scott S H, Loeb G E. Mechanics of feline soleus: II. Design and validation of a mathematical model. Journal of Muscle Research and Cell Motility, 1996, 17, 221–233.

    Article  Google Scholar 

  24. Yakovenko S, Mushahwar V, VanderHorst V, Holstege G, Prochazka A. Spatiotemporal activation of lumbosacral motoneurons in the locomotor step cycle. Journal of Neurophysiology, 2002, 87, 1542–1553.

    Article  Google Scholar 

  25. Wang T, Guo W, Li M, Zha F, Sun L. CPG control for biped hopping robot in unpredictable environment. Journal of Bionic Engineering, 2012, 9, 29–38.

    Article  Google Scholar 

  26. Ivashko D G, Prilutsky B I, Markin S N, Chapin J K, Rybak I A. Modeling the spinal cord neural circuitry controlling cat hindlimb movement during locomotion. Neurocomputing, 2003, 52, 621–629.

    Article  Google Scholar 

  27. Ekeberg O, Pearson K. Computer simulation of stepping in the hind legs of the cat: An examination of mechanisms regulating the stance-to-swing transition. Journal of Neurophysiology, 2005, 94, 4256–4268.

    Article  Google Scholar 

  28. Day L M, Jayne B C. Interspecific scaling of the morphology and posture of the limbs during the locomotion of cats (Felidae). Journal of Experimental Biology, 2007, 210, 642–654.

    Article  Google Scholar 

  29. Fischer M S, Blickhan R. The tri-segmented limbs of therian mammals: Kinematics, dynamics, and self-stabilization: A review. Journal of Experimental Zoology A: Comparative Experimental Biology, 2006, 305, 935–952.

    Article  Google Scholar 

  30. Wang X, Li M, Wang P, Sun L. Running and turning control of a quadruped robot with compliant legs in bounding gait. IEEE International Conference on Robotics and Automation, Shanghai, China, 2001, 511–518.

    Google Scholar 

  31. Wang H, Wang P, Wang X, Li M, Sun L. Touchdown angle’s impact on bounding gait of the quadrupeds. IEEE Conference on Robotics, Automation and Mechatronics, Qingdao, China, 2011, 178–183.

    Google Scholar 

  32. Chatzakos P, Papadopoulos E. Parametric analysis and design guidelines for a quadruped bounding robot. Mediterranean Conference on Control and Automation, Athens, Greece, 2007, 1550–1555.

    Google Scholar 

  33. Herr H M, McMahon T A. A galloping horse model. International Journal of Robotics Research, 2001, 20, 26–37.

    Article  Google Scholar 

  34. Blum Y, Lipfert S W, Rummel J, Seyfarth A. Swing leg control in human running. Bioinspiration and Biomimetics, 2010, 5, 1–11.

    Article  Google Scholar 

  35. de Wit B, de Chercq D, Aerts P. Biomechanical analysis of the stance phase during barefoot and shod running. Journal of Biomechanics, 2000, 33, 269–278.

    Article  Google Scholar 

  36. Seyfarth A, Geyer H, Herr H M. Swing-leg retraction: A simple control model for stable running. Journal of Experimental Biology, 2003, 206, 2547–2555.

    Article  Google Scholar 

  37. Herr H M, McMahon T A. A trotting horse model. International Journal of Robotics Research, 2000, 19, 566–581.

    Article  Google Scholar 

  38. Rummel J, Seyfarth A. Stable running with segmented legs. The International Journal of Robotics Research, 2008, 27, 919–934.

    Article  Google Scholar 

  39. Ferris D P, Louie M, Farley C T. Running in the real world: Adjusting leg stiffness for different surfaces. Proceedings of the Royal Society of London Series B: Biological Sciences, 1998, 265, 989–994.

    Article  Google Scholar 

  40. Walter R M, Carrier D R. Ground forces applied by galloping dogs. Journal of Experimental Biology, 2007, 210, 208–216.

    Article  Google Scholar 

  41. Valenzuela A K. Stride-Level Control of Quadrupedal Runners Through Optimal Scaling of Hip-Force Profiles, Master Degree Thesis, Massachusetts Institute of Technology, USA, 2011.

    Google Scholar 

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Correspondence to Xin Wang.

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Wang, X., Li, M., Wang, P. et al. Bio-inspired controller for a robot cheetah with a neural mechanism controlling leg muscles. J Bionic Eng 9, 282–293 (2012). https://doi.org/10.1016/S1672-6529(11)60120-0

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  • DOI: https://doi.org/10.1016/S1672-6529(11)60120-0

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