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Gait Adaptation in a Quadruped Robot

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Abstract

A newborn foal can learn to walk soon after birth through a process of rapid adaptation acting on its locomotor controller. It is proposed here that this kind of adaptation can be modeled as a distributed system of adaptive modules (AMs) acting on a distributed system of adaptive oscillators called Adaptive Ring Rules (ARRs), augmented with appropriate and simple reflexes. It is shown that such a system can self-program through interaction with the environment. The adaptation emerges spontaneously as several discrete stages: Body twisting, short quick steps, and finally longer, coordinated stepping.

This approach is demonstrated on a quadrupedal robot. The result is that the system can learn to walk several minutes after inception.

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References

  • Bay, J.S. and Hemami, H. 1987. Modeling of a neural pattern generator with coupled nonlinear oscillators. IEEE Trans. on Biomedical Engineering, BME-34(4):297–306.

    Google Scholar 

  • Bekoff, A. 1985. Development of locomotion in vertebrates, a comparative perspective. The Comparative Development of Adaptive Skills: Evolutionary Implications, E.S. Gallin (Ed.), Lawrence Erlbaum Assoc.: London, pp. 57–94.

    Google Scholar 

  • Carrier, D. 1990. Activity of the hypaxial muscles during walking in the lizard Iguana Iguana. J. Exp. Biol., 152:453–470.

    Google Scholar 

  • Carrier, D.R. 1993. Action of the hypaxial muscles during walking and swimming in the salamander Dicamptodon Ensatus. J. Exp. Biol., 180:75–83.

    Google Scholar 

  • Cohen, A.H. 1988. Evolution of the vertebrate central pattern generator for locomotion. Neural Control of Rhythmic Movements in Vertebrates, S.R.A.H. Cohen and S. Grillner (Eds.), Wiley: New York.

    Google Scholar 

  • Cohen, A.H., Holmes, P.J. et al. 1982. The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model. J. Math. Biol., 13:345–369.

    Google Scholar 

  • Collins, J.J. and Stewart, I.N. 1993. Coupled nonlinear oscillators and the symmetries of animal gaits. J. Nonlinear Sci., 3:349–392.

    Google Scholar 

  • Grillner, S. and Wallén, P. 1985. Central pattern generators for locomotion, with special reference to vertebrates. Annual Review of Neuroscience, 8:233–261.

    Google Scholar 

  • Grillner, S. and Zangger, P. 1975. How detailed is the central pattern generation for locomotion? Brain Research, 88(2):367–371.

    Google Scholar 

  • Ilg, W. and Berns, K. 1995. A learning architecture based on reinforcement learning for adaptive control of the walking machine LAURON. Robotics and Autonomous Systems, 15:321–334.

    Google Scholar 

  • Ito, S., Yuasa, H. et al. 1998. A mathematical model of adaptive behavior in quadruped locomotion. Bio Cybern., 78:337–347.

    Google Scholar 

  • Jalics, L., Hemami, H. et al. 1997. A control strategy for terrain adaptive bipedal locomotion. Autonomous Robots, 4(3):243–257.

    Google Scholar 

  • Kawato, M. and Wolpert, D. 1998. Internal models for motor control. Novartis Found Symp, 218:291–304; discussion 304–307.

    Google Scholar 

  • Kimura, H., Akiyama, S. et al. 1999. Realization of dynamicwalking and running of the quadruped using neural oscillator. Autonomous Robots, 7(3).

  • Kotliar, B.I., Maorov, V.I. et al. 1975. Models of learning based on the plastic properties of the placing reaction in cats. Zh Vyssh Nerv Deiat, 25(5):967–973.

    Google Scholar 

  • Lewis, M.A. 1996. Self-organization of locomotory controllers in robots and animals, Ph.D. Dissertation. Department of Electrical Engineering. Los Angeles, University of Southern California.

  • Lewis, M.A., Etienne-Cummings, R. et al. 2000. Toward biomorphic control using custom aVLSI chips. 2000 International Conference on Robotics and Automation, San Francisco, IEEE.

    Google Scholar 

  • Lewis, M.A., Fagg, A.H. et al. 1992. Genetic programming approach to the construction of a neural network for control of a walking robot. 1992 IEEE International Conference on Robotics and Automation, Nice, France.

  • Lewis, M.A., Hartmann, M. et al. 2001. Control of a robot leg with an adaptive aVLSI CPG chip. Neurocomputing (Procedings of the Computational Neuroscience Meeting), 38–40:1409–1421.

    Google Scholar 

  • Lewis, M.A. and Simó, L.S. 1999. Elegant stepping: A model of visually triggered gait adaptation. Connection Science, 11(3/4).

  • Lewis, M.A. and Simó, L.S. 2001. Certain principles of biomorphic robots. Autonomous Robots, 11(3):221–226.

    Google Scholar 

  • Matsuoka, K. 1987. Mechanisms of frequency and pattern control in the neural rhythm generators. Biol. Cybern., 56:345–353.

    Google Scholar 

  • Murray, J.D. 1993. Mathematical Biology, Springer-Verlag: Berlin.

    Google Scholar 

  • Rand, R.H., Cohen, A.H. et al. 1988. Systems of coupled oscillators as models of central pattern generators. Neural Control of Rhythmic Movement in Vertebrates. A.H. Cohen, S. Rossignol, and S. Grillner (Eds.), Wiley: New York.

    Google Scholar 

  • Sperry, R.W. 1950. Neural basis of the spontaneous optokinetic response produced by visual inversion. Journal of Comparative and Physiological Psychology, 43:482–489.

    Google Scholar 

  • Taga, G., Yamaguchi, Y. et al. 1991. Self-organized control of bipedal locomotion by neural oscillators in unpredictable environment. Biol. Cybern., 65:147–159.

    Google Scholar 

  • Zielinska, T. 1996. Coupled oscillators utilised as gait rhythm generators. Biol. Cybern., 74:263–273.

    Google Scholar 

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Lewis, M.A., Bekey, G.A. Gait Adaptation in a Quadruped Robot. Autonomous Robots 12, 301–312 (2002). https://doi.org/10.1023/A:1015221832567

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  • DOI: https://doi.org/10.1023/A:1015221832567

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