Brain-like functor control machine for general humanoid biodynamics
Author(s) -
Vladimir G. Ivancevic,
Nicholas Beagley
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.1759
Subject(s) - kinematics , mathematics , affine transformation , control theory (sociology) , nonlinear system , inverse kinematics , topology (electrical circuits) , computer science , neuroscience , pure mathematics , artificial intelligence , robot , control (management) , psychology , physics , classical mechanics , combinatorics , quantum mechanics
A novel, brain-like, hierarchical (affine-neuro-fuzzy-topological)control for biomechanically realistic humanoid-robot biodynamics (HB), formulated previously in [15, 16], is proposed in the form of a tensor-invariant, “meta-cybernetic” functor machine. It represents a physiologically inspired, three-level, nonlinear feedback controller of muscular-like joint actuators. On thespinal level, nominal joint-trajectory tracking is formulated as an affine Hamiltonian control system, resembling the spinal (autogenetic-reflex) “motor servo.” On the cerebellar level, a feedback-control map is proposed in the form of self-organized,oscillatory, neurodynamical system, resembling the associative interaction of excitatory granule cells and inhibitory Purkinje cells. On the cortical level, a topological “hyper-joystick” command space is formulated with a fuzzy-logic feedback-control map defined on it, resembling the regulation of locomotor conditioned reflexes. Finally, both the cerebellar and the cortical control systems are extended to provide translational force control for moving 6-degree-of-freedom chains of inverse kinematics
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