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Learning Control of Quadruped Robot Galloping

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Abstract

Achieving galloping gait in quadruped robots is challenging, because the galloping gait exhibits complex dynamical behaviors of a hybrid nonlinear under-actuated dynamic system. This paper presents a learning approach to quadruped robot galloping control. The control function is obtained through directly approximating real gait data by learning algorithm, without consideration of robot’s model and environment where the robot is located. Three motion control parameters are chosen to determine the galloping process, and the deduced control function is learned iteratively with modified Locally Weighted Projection Regression (LWPR) algorithm. Experiments conducted upon the bioinspired quadruped robot, AgiDog, indicate that the robot can improve running performance continuously along the learning process, and adapt itself to model and environment uncertainties.

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References

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

    MATH  Google Scholar 

  2. Muybridge E. Horses and Other Animals in Motion: 45 Classic Photographic Sequences, Dover Publications, New York, USA, 1985.

    Google Scholar 

  3. Chen D, Li N, Wang H, Chen L. Effect of flexible spine motion on energy efficiency in quadruped running. Journal of Bionic Engineering, 2017, 14, 716–725.

    Article  Google Scholar 

  4. Nie H, Sun R, Hu L, Su Z, Hu W. Control of a cheetah robot in passive bounding gait. Journal of Bionic Engineering, 2016, 13, 283–291.

    Article  Google Scholar 

  5. Park H W, Wensing P M, Kim S. High-speed bounding with the MIT Cheetah 2: Control design and experiments. International Journal of Robotics Research, 2017, 36, 167–192.

    Article  Google Scholar 

  6. WildCat, The World’s Fastest Quadruped Robot, [2017-12-06], https://www.bostondynamics.com/wildcat

  7. Poulakakis I, Smith J A, Buehler M. On the dynamics of bounding and extensions: Towards the half-bound and gallop gaits. Adaptive Motion of Animals and Machines, 2006, 79–88.

    Chapter  Google Scholar 

  8. Krasny D P, Orin D E. Evolution of a 3D gallop in a quadrupedal model with biological characteristics. Journal of Intelligent & Robotic Systems, 2010, 60, 59–82.

    Article  MATH  Google Scholar 

  9. Leonov G, Nijmeijer H, Pogromsky A, Fradkov A. Dynamics and Control of Hybrid Mechanical Systems, World Scientific, Singapore, 2010.

    Book  Google Scholar 

  10. Nanua P. Dynamics of a Galloping Quadruped, Ohio State University, Ohio, USA, 1992.

    Google Scholar 

  11. Ringrose R. Self-stabilizing running. Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), New Mexico, USA, 1997, 487–493.

    Chapter  Google Scholar 

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

    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. Marhefka D W, Orin D E. Fuzzy control of quadrupedal running. Proceedings of the IEEE International Conference on Robotics and Automation, San Francisco, USA, 2000, 3063–3069.

    Google Scholar 

  15. Wright J, Jordanov I. Intelligent approaches in locomotion–A review. Journal of Intelligent & Robotic Systems, 2015, 80, 255–277.

    Article  Google Scholar 

  16. Chae G, Park J H. Galloping trajectory optimization and control for quadruped robot using genetic algorithm. Proceedings of the IEEE International Conference on Robotics and Biomimetics, Sanya, China, 2007, 1166–1171.

    Google Scholar 

  17. Kober J, Bagnell J A, Peters J. Reinforcement learning in robotics: A survey. International Journal of Robotics Research, 2013, 32, 1238–1274.

    Article  Google Scholar 

  18. Vijayakumar S, D’Souza A, Schaal S. Incremental online learning in high dimensions. Neural Computation, 2005, 17, 2602–2634.

    Article  MathSciNet  Google Scholar 

  19. Missura M, Behnke S. Online learning of bipedal walking stabilization. KI-Künstliche Intelligenz, 2015, 29, 401–405.

    Article  Google Scholar 

  20. Reiser R F, Peterson M L, Kawcak C E, Mcllwraith C W. Forelimb hoof landing velocities in treadmill trotting and galloping horses. Society for Experimental Mechanics, Portland, USA, 2005.

    Google Scholar 

  21. Witte T H, Hirst C V, Wilson A M. Effect of speed on stride parameters in racehorses at gallop in field conditions. Journal of Experimental Biology, 2006, 209, 4389–4397.

    Article  Google Scholar 

  22. Heglund N C, Taylor C R. Speed, stride frequency and energy cost per stride: How do they change with body size and gait? Journal of Experimental Biology, 1988, 138, 301–318.

    Google Scholar 

  23. Smith J L, Chung S H, Zernicke R F. Gait-related motor patterns and hindlimb kinetics for cat trot and gallop. Experimental Brain Research, 1993, 94, 308–322.

    Article  Google Scholar 

  24. Liu Q, Chen X, Han B, Luo Z, Luo X. Virtual constraint based control of bounding gait of quadruped robots. Journal of Bionic Engineering, 2017, 14, 218–231.

    Article  Google Scholar 

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

    Article  Google Scholar 

  26. Hyun D J, Lee J, Park S I, Kim S. Implementation of trot-to-gallop transition and subsequent gallop on the MIT Cheetah I. International Journal of Robotics Research, 2016, 35, 1627–1650.

    Article  Google Scholar 

Download references

Acknowledgment

This work is partially supported by the National Natural Science Foundation of China (NSFC) under grant numbers 61175097 and 51475177, and the Research Fund for the Doctoral Programme of Higher Education of China (RFDP) under grant number 20130142110081.

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Correspondence to Xin Luo.

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Liu, Q., Chen, X., Han, B. et al. Learning Control of Quadruped Robot Galloping. J Bionic Eng 15, 329–340 (2018). https://doi.org/10.1007/s42235-018-0025-9

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  • DOI: https://doi.org/10.1007/s42235-018-0025-9

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