R. Boudreau et al., PARALLEL MANIPULATOR KINEMATICS LEARNING USING HOLOGRAPHIC NEURAL-NETWORK MODELS, Robotics and computer-integrated manufacturing, 14(1), 1998, pp. 37-44
The forward kinematic problem of parallel manipulators is resolved usi
ng a holographic neural paradigm. In a holographic neural model, stimu
lus-response (input-output) associations are transformed from the doma
in of real numbers to the domain of complex vectors. An element of inf
ormation within the holographic neural paradigm has a semantic content
represented by phase information and a confidence level assigned in t
he magnitude of the complex scalar. Networks are trained on a database
generated from the closed-form inverse kinematic solutions. After the
learning phase, the networks are tested on trajectories which were no
t part of the training data. The simulation results, given for a plana
r three-degree-of-freedom parallel manipulator with revolute joints an
d for a spherical three-degree-of-freedom parallel manipulator, show t
hat holographic neural network models are feasible to solve the forwar
d kinematic problem of parallel manipulators. (C) 1998 Elsevier Scienc
e Ltd. All rights reserved.