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Control of a Quadruped Robot with Bionic Springy Legs in Trotting Gait

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Abstract

Legged robots have better performance on discontinuous terrain than that of wheeled robots. However, the dynamic trotting and balance control of a quadruped robot is still a challenging problem, especially when the robot has multi-joint legs. This paper presents a three-dimensional model of a quadruped robot which has 6 Degrees of Freedom (DOF) on torso and 5 DOF on each leg. On the basis of the Spring-Loaded Inverted Pendulum (SLIP) model, body control algorithm is discussed in the first place to figure out how legs work in 3D trotting. Then, motivated by the principle of joint function separation and introducing certain biological characteristics, two joint coordination approaches are developed to produce the trot and provide balance. The robot reaches the highest speed of 2.0 m·s−1, and keeps balance under 250 Kg·m·s−1 lateral disturbance in the simulations. The effectiveness of these approaches is also verified on a prototype robot which runs to 0.83 m·s−1 on the treadmill. The simulations and experiments show that legged robots have good biological properties, such as the ground reaction force, and spring-like leg behavior.

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References

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

    MATH  Google Scholar 

  2. 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 

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

    Article  Google Scholar 

  4. Poulakakis I, Smith J A, Buehler M. 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 

  5. Cherouvim N, Papadopoulos E. Pitch control for running quadrupeds using leg positioning in flight. IEEE Mediterranean Conference on Control and Automation, Athens, Greece, 2007, 1–6.

    Google Scholar 

  6. Palmer L R, Orin D E. Force redistribution in a quadruped running trot. IEEE International Conference on Robotics and Automation, Roma, Italy, 2007, 4343–4348.

    Google Scholar 

  7. Palmer L R, Orin D E. Attitude Control of a Quadruped Trot While Turning. Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing, China, 2006, 5743–5749.

    Google Scholar 

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

    Article  MATH  Google Scholar 

  9. Pratt J, Chew C M, Torres A, Dilworth P, Pratt G. Virtual model control: An intuitive approach for bipedal locomotion. The International Journal of Robotics Research, 2001, 20, 129–143.

    Article  Google Scholar 

  10. Hutter M, Remy C D, Hoepflinger M A, Siegwart R. Scar-lETH: Design and control of a planar running robot. IEEE/RSJ International Conference on Intelligent Robots and Systems, San Francisco, USA, 2011, 562–567.

    Google Scholar 

  11. Takemura H, Deguchi M, Ueda J, Matsumoto Y, Ogasawara T. Slip-adaptive walk of quadruped robot. Robotics and Autonomous Systems, 2005, 53, 124–141.

    Article  Google Scholar 

  12. Inagaki S, Yuasa H, Suzuki T, Arai T. Wave CPG model for autonomous decentralized multi-legged robot: Gait generation and walking speed control. Robotics and Autonomous Systems, 2006, 54, 118–126.

    Article  Google Scholar 

  13. Maufroy C, Nishikawa T, Kimura H. Stable dynamic walking of a quadruped robot “Kotetsu” using phase modulations based on leg loading/unloading. IEEE International Conference on Robotics and Automation, Anchorage, USA, 2010, 5225–5230.

    Google Scholar 

  14. Spröwitz A, Tuleu A, Vespignani M, Ajallooeian M, Badri E, Ijspeert A J. Towards dynamic trot gait locomotion: Design, control, and experiments with cheetahcub, a compliant quadruped robot. The International Journal of Robotics Research, 2013, 32, 932–950.

    Article  Google Scholar 

  15. Zhang J, Gao F, Han X, Chen X, Han X. Trot gait design and CPG method for a quadruped robot. Journal of Bionic Engineering, 2012, 11, 18–25.

    Google Scholar 

  16. Wang X, Li M, Wang P, Guo W, Sun L. Bio-inspired controller for a robot cheetah with a neural mechanism controlling leg muscles. Journal of Bionic Engineering, 2012, 9, 282–293.

    Article  Google Scholar 

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

    Article  Google Scholar 

  18. Lee D V, Bertram J E, Todhunter R J. Acceleration and balance in trotting dogs. The Journal of Experimental Biology, 1999, 202, 3565–3573.

    Google Scholar 

  19. Gregersen C S, Silverton N A, Carrier D R. External Work and Potential for Elastic Storage at the Limb Joints of Running Dogs. The Journal of Experimental Biology, 1998, 201, 3197–3210.

    Google Scholar 

  20. Lee D V, Meek S G. Directionally compliant legs influence the intrinsic pitch behavior of a trotting quadruped. Proceedings of the Royal Society B: Biological Sciences, 2005, 272, 567–572.

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  22. Jiang Z, Li M, Guo W. Running control of a quadruped robot in trotting gait. IEEE Conference on Robotics, Automation and Mechatronics, Qingdao, China, 2011, 171–177.

    Google Scholar 

  23. Carroll A M, Lee D V, Biewener A A. Differential muscle function between muscle synergists: Long and lateral heads of the triceps in jumping and landing goats (Capra hircus), Journal of Applied Physiology, 2008, 105, 1262–1273.

    Article  Google Scholar 

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Correspondence to Pengfei Wang.

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Li, M., Jiang, Z., Wang, P. et al. Control of a Quadruped Robot with Bionic Springy Legs in Trotting Gait. J Bionic Eng 11, 188–198 (2014). https://doi.org/10.1016/S1672-6529(14)60043-3

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  • DOI: https://doi.org/10.1016/S1672-6529(14)60043-3

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