Title
Learning the Kinematics of a Manipulator Based on VQTAM
Abstract
The kinematics of a robotic manipulator is critical to the real-time performance and robustness of the robot control system. This paper proposes a surrogate model of inverse kinematics for the serial six-degree of freedom (6-DOF) robotic manipulator, based on its kinematics symmetry. Herein, the inverse kinematics model is derived via the training of the Vector-Quantified Temporal Associative Memory (VQTAM) network, which originates from Self-Organized Mapping (SOM). During the processes of training, testing, and estimating of this neural network, a priority K-means tree search algorithm is utilized, thus improving the training efficacy. Furthermore, Local Linear Regression (LLR), Local Weighted Linear Regression (LWR), and Local Linear Embedding (LLE) algorithms are, respectively, combined with VQTAM to obtain three improvement algorithms, all of which aim to further optimize the prediction accuracy of the networks for subsequent comparison and selection. To speed up the solving of the least squared equation, which is common among the three algorithms, Singular Value Decomposition (SVD) is introduced. Finally, data from forward kinematics, in the form of the exponential product of a motion screw, are obtained, and are used for the construction and validation of the VQTAM neural network. Our results show that the prediction effect of the LLE algorithm is better than others, and that the LLE algorithm is a potential surrogate model to estimate the output of inverse kinematics.
Year
DOI
Venue
2020
10.3390/sym12040519
SYMMETRY-BASEL
Keywords
DocType
Volume
robot kinematics,machine learning,VQTAM,priority K-means tree search algorithm local linearization,SVD
Journal
12
Issue
Citations 
PageRank 
4
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Luo Lan100.34
Hou Li200.34
Yang Wu38418.42
Wei Yongqiao400.34
Zhang Qi500.34