A Quadruped Robot Exhibiting Spontaneous Gait Transitions from Walking to Trotting to Galloping

The manner in which quadrupeds change their locomotive patterns—walking, trotting, and galloping—with changing speed is poorly understood. In this paper, we provide evidence for interlimb coordination during gait transitions using a quadruped robot for which coordination between the legs can be self-organized through a simple “central pattern generator” (CPG) model. We demonstrate spontaneous gait transitions between energy-efficient patterns by changing only the parameter related to speed. Interlimb coordination was achieved with the use of local load sensing only without any preprogrammed patterns. Our model exploits physical communication through the body, suggesting that knowledge of physical communication is required to understand the leg coordination mechanism in legged animals and to establish design principles for legged robots that can reproduce flexible and efficient locomotion.

[1]  R. McN. Alexander,et al.  The Gaits of Bipedal and Quadrupedal Animals , 1984 .

[2]  D. F. Hoyt,et al.  Gait and the energetics of locomotion in horses , 1981, Nature.

[3]  Kenichi Ogawa,et al.  Honda humanoid robots development , 2007, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[4]  Y. Kuramoto,et al.  Phase transitions in active rotator systems , 1986 .

[5]  J. Duysens,et al.  Load-regulating mechanisms in gait and posture: comparative aspects. , 2000, Physiological reviews.

[6]  R. McNeill Alexander,et al.  Principles of Animal Locomotion , 2002 .

[7]  D. F. Hoyt,et al.  Biomechanical and energetic determinants of the walk–trot transition in horses , 2004, Journal of Experimental Biology.

[8]  D. F. Hoyt,et al.  The energetics of the trot–gallop transition , 2003, Journal of Experimental Biology.

[9]  Thierry Hoinville,et al.  Walknet, a bio-inspired controller for hexapod walking , 2013, Biological Cybernetics.

[10]  K. Tsuchiya,et al.  Hysteresis in the gait transition of a quadruped investigated using simple body mechanical and oscillator network models. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  J. Cabelguen,et al.  Bimodal Locomotion Elicited by Electrical Stimulation of the Midbrain in the Salamander Notophthalmus viridescens , 2003, The Journal of Neuroscience.

[12]  J. V. D. Weele,et al.  Mode interaction in horses, tea, and other nonlinear oscillators: the universal role of symmetry , 2001 .

[13]  Robert M. May,et al.  Simple mathematical models with very complicated dynamics , 1976, Nature.

[14]  Auke Jan Ijspeert,et al.  Central pattern generators for locomotion control in animals and robots: A review , 2008, Neural Networks.

[15]  Thomas Kindermann,et al.  Walking: A Complex Behavior Controlled by Simple Networks , 1995, Adapt. Behav..

[16]  Yasuhiro Fukuoka,et al.  A simple rule for quadrupedal gait generation determined by leg loading feedback: a modeling study , 2015, Scientific Reports.

[17]  J. Vilensky,et al.  Trot-gallop gait transitions in quadrupeds , 1991, Physiology and Behavior.

[18]  S. Grillner Neurobiological bases of rhythmic motor acts in vertebrates. , 1985, Science.

[19]  Barbara Webb,et al.  Robots in invertebrate neuroscience , 2002, Nature.

[20]  Ansgar Büschges,et al.  Assessing sensory function in locomotor systems using neuro-mechanical simulations , 2006, Trends in Neurosciences.

[21]  Robert C. Wolpert,et al.  A Review of the , 1985 .

[22]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[23]  G Schöner,et al.  A synergetic theory of quadrupedal gaits and gait transitions. , 1990, Journal of theoretical biology.

[24]  W. H. Warren,et al.  Why change gaits? Dynamics of the walk-run transition. , 1995, Journal of experimental psychology. Human perception and performance.

[25]  M. Golubitsky,et al.  Symmetry in locomotor central pattern generators and animal gaits , 1999, Nature.

[26]  S. Grillner Locomotion in vertebrates: central mechanisms and reflex interaction. , 1975, Physiological reviews.

[27]  Volker Dürr,et al.  Inter-joint coupling and joint angle synergies of human catching movements. , 2010, Human movement science.

[28]  M. Turvey,et al.  Phase transitions and critical fluctuations in the visual coordination of rhythmic movements between people. , 1990, Journal of experimental psychology. Human perception and performance.

[29]  Hiroshi Kimura,et al.  Realization of Dynamic Walking and Running of the Quadruped Using Neural Oscillator , 1999, Auton. Robots.

[30]  D. Owaki,et al.  Simple robot suggests physical interlimb communication is essential for quadruped walking , 2013, Journal of The Royal Society Interface.

[31]  N. Troje Decomposing biological motion: a framework for analysis and synthesis of human gait patterns. , 2002, Journal of vision.

[32]  H. Haken,et al.  A theoretical model of phase transitions in human hand movements , 2004, Biological Cybernetics.

[33]  Auke J. Ijspeert,et al.  Biorobotics: Using robots to emulate and investigate agile locomotion , 2014, Science.

[34]  Arthur D Kuo,et al.  The relative roles of feedforward and feedback in the control of rhythmic movements. , 2002, Motor control.

[35]  M H Raibert,et al.  Trotting, pacing and bounding by a quadruped robot. , 1990, Journal of biomechanics.

[36]  Shinya Aoi,et al.  A stability-based mechanism for hysteresis in the walk–trot transition in quadruped locomotion , 2013, Journal of The Royal Society Interface.

[37]  Kunikatsu Takase,et al.  Integration of posture and rhythmic motion controls in quadrupedal dynamic walking using phase modulations based on leg loading/unloading , 2010, Auton. Robots.

[38]  Shik Ml,et al.  Control of walking and running by means of electric stimulation of the midbrain , 1966 .

[39]  Hirochika Inoue,et al.  Humanoid robotics platforms developed in HRP , 2004, Robotics Auton. Syst..

[40]  Time-Life Books,et al.  WALKING AND RUNNING. , 1885, Science.

[41]  Collins,et al.  Controlling nonchaotic neuronal noise using chaos control techniques. , 1995, Physical review letters.

[42]  T. Nagayama,et al.  A sensory map based on velocity threshold of sensory neurones from a chordotonal organ in the tailfan of the crayfish , 1993, Journal of Comparative Physiology A.

[43]  K. Tsuchiya,et al.  Variant and invariant patterns embedded in human locomotion through whole body kinematic coordination , 2010, Experimental Brain Research.

[44]  K. Pearson,et al.  Computer simulation of stepping in the hind legs of the cat: an examination of mechanisms regulating the stance-to-swing transition. , 2005, Journal of neurophysiology.

[45]  Hartmut Geyer,et al.  A Muscle-Reflex Model That Encodes Principles of Legged Mechanics Produces Human Walking Dynamics and Muscle Activities , 2010, IEEE Transactions on Neural Systems and Rehabilitation Engineering.

[46]  Natasha Loder,et al.  Journal under attack over controversial paper on GM food , 1999, Nature.

[47]  T. Nagayama,et al.  Monosynaptic excitation of lateral giant fibres by proprioceptive afferents in the crayfish , 1997, Journal of Comparative Physiology A.

[48]  A. d’Avella,et al.  Locomotor Primitives in Newborn Babies and Their Development , 2011, Science.

[49]  J. J. Collins,et al.  Hard-wired central pattern generators for quadrupedal locomotion , 1994, Biological Cybernetics.