scholarly journals Brain-like functor control machine for general humanoid biodynamics

2005 ◽  
Vol 2005 (11) ◽  
pp. 1759-1779 ◽  
Author(s):  
Vladimir Ivancevic ◽  
Nicholas Beagley

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 the spinal 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 moving6-degree-of-freedom chains of inverse kinematics.

1963 ◽  
Vol 85 (2) ◽  
pp. 236-242 ◽  
Author(s):  
H. Hatanaka

A method is presented for analyzing the frequency responses and jump-resonance phenomena of nonlinear feedback control systems of any order. The nonlinearities treated in this paper are those whose outputs are single-valued odd functins of the inputs and are independent of frequencies of the inputs. The general conditions under which jump-resonance occurs are given and the system with saturation nonlinearity is analyzed fully as an example. The essential objective is to express the contours on the complex plane for the constant values of system variables, e.g., input amplitude, amplitude ratio, and phase shift.


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