Deterministic phase resetting with predefined response time for CPG networks based on Matsuoka's oscillator

A new control strategy is proposed to reset the phase of the rhythmical signals generated by Central Pattern Generator (CPG) networks based on Matsuoka's oscillator. The main contribution of the proposed phase resetting scheme is its predefined constant response time given a single-pulse perturbation and an arbitrary phase resetting curve (PRC) that can be modified at any time. Phase resetting is a feature present in physiological oscillating systems, which can be utilized in robotics and other control applications as a feedback strategy to provide robust adaptation to unexpected external stimuli. The proposed technique can be applied to CPG networks based on the Matsuoka neuron's model. The performance of this phase resetting strategy is assessed through both simulation and a real application to locomotion control of a biped robot. A new control scheme for phase resetting of rhythmical signals is proposed.The rhythmical signals are generated by CPG networks based on Matsuoka's oscillator.The proposed phase resetting scheme has a predefined constant response time.The scheme uses an arbitrary phase resetting curve that can be modified at any time.The proposed control scheme has been applied to a Nao humanoid robot.

[1]  Kiyotoshi Matsuoka,et al.  Analysis of a neural oscillator , 2011, Biological Cybernetics.

[2]  Bernhard Ronacher,et al.  Chapter 1 Phase Response Curves , 2009 .

[3]  Jun Morimoto,et al.  Learning from demonstration and adaptation of biped locomotion , 2004, Robotics Auton. Syst..

[4]  Shinya Aoi,et al.  Functional Roles of Phase Resetting in the Gait Transition of a Biped Robot From Quadrupedal to Bipedal Locomotion , 2012, IEEE Transactions on Robotics.

[5]  Shinya Aoi,et al.  Evaluating functional roles of phase resetting in generation of adaptive human bipedal walking with a physiologically based model of the spinal pattern generator , 2010, Biological Cybernetics.

[6]  Yasuhiro Fukuoka,et al.  Adaptive Dynamic Walking of a Quadruped Robot on Natural Ground Based on Biological Concepts , 2007, Int. J. Robotics Res..

[7]  Jianwei Zhang,et al.  A Survey on CPG-Inspired Control Models and System Implementation , 2014, IEEE Transactions on Neural Networks and Learning Systems.

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

[9]  Domenec Puig,et al.  Locomotion Control of a Biped Robot through a Feedback CPG Network , 2013, ROBOT.

[10]  KasabovNikola,et al.  2008 Special issue , 2008 .

[11]  Mingzhou Ding,et al.  The dynamic brain : an exploration of neuronal variability and its functional significance , 2011 .

[12]  Shinya Aoi,et al.  Adaptive behavior in turning of an oscillator-driven biped robot , 2007, Auton. Robots.

[13]  Nakada Kazuki,et al.  Integrated Circuit Implementation of Piecewise Linear Oscillators and its Application to Phase Reset Control , 2012 .

[14]  Weiwei Huang,et al.  Coordination between oscillators: An important feature for robust bipedal walking , 2008, 2008 IEEE International Conference on Robotics and Automation.

[15]  Shinya Aoi,et al.  Stability analysis of a simple walking model driven by an oscillator with a phase reset using sensory feedback , 2006, IEEE Transactions on Robotics.

[16]  Jun Morimoto,et al.  Experimental Studies of a Neural Oscillator for Biped Locomotion with QRIO , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[17]  Dingguo Zhang,et al.  Neural oscillator based control for pathological tremor suppression via functional electrical stimulation , 2011 .

[18]  Kiyotoshi Matsuoka,et al.  Mechanisms of frequency and pattern control in the neural rhythm generators , 1987, Biological Cybernetics.

[19]  Jun Morimoto,et al.  An empirical exploration of a neural oscillator for biped locomotion control , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[20]  Peter A. Tass,et al.  Phase Resetting in Medicine and Biology: Stochastic Modelling and Data Analysis , 1999 .

[21]  Yasuomi D. Sato,et al.  Theoretical Analysis of Phase Resetting on Matsuoka Oscillators , 2013 .

[22]  Hiroshi Shimizu,et al.  Self-organized control of bipedal locomotion by neural oscillators in unpredictable environment , 1991, Biological Cybernetics.

[23]  G Bard Ermentrout,et al.  Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling. , 2005, Physical review letters.

[24]  Nakada Kazuki,et al.  Phase Response Properties of Piecewise Linear Oscillator and Functional Roles of Phase Resetting on Rhythmic Motion Control , 2011 .

[25]  Jong-Hwan Kim,et al.  Full-body joint trajectory generation using an evolutionary central pattern generator for stable bipedal walking , 2010, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[26]  Taishin Nomura,et al.  Dynamic stability and phase resetting during biped gait. , 2009, Chaos.

[27]  Kiyotoshi Matsuoka,et al.  Sustained oscillations generated by mutually inhibiting neurons with adaptation , 1985, Biological Cybernetics.

[28]  Kei Senda,et al.  Cusp catastrophe embedded in gait transition of a quadruped robot driven by nonlinear oscillators with phase resetting , 2012, 2012 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[29]  Danwei Wang,et al.  CPG-Inspired Workspace Trajectory Generation and Adaptive Locomotion Control for Quadruped Robots , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[30]  Andrej Gams,et al.  On-line learning and modulation of periodic movements with nonlinear dynamical systems , 2009, Auton. Robots.

[31]  Vítor Matos,et al.  Central Pattern Generators with phase regulation for the control of humanoid locomotion , 2012, 2012 12th IEEE-RAS International Conference on Humanoid Robots (Humanoids 2012).

[32]  H. Kurokawa,et al.  Automatic locomotion design and experiments for a Modular robotic system , 2005, IEEE/ASME Transactions on Mechatronics.

[33]  B. Ronacher,et al.  Phase response curves elucidating the dynamics of coupled oscillators. , 2009, Methods in enzymology.

[34]  Jun Morimoto,et al.  Learning CPG-based Biped Locomotion with a Policy Gradient Method: Application to a Humanoid Robot , 2005, 5th IEEE-RAS International Conference on Humanoid Robots, 2005..

[35]  Taishin Nomura,et al.  Stumbling with optimal phase reset during gait can prevent a humanoid from falling , 2006, Biological Cybernetics.