A proof of the Ge–Lee statement on the inertia regressor of robot manipulators

This paper delivers a proof of a statement due to Ge and Lee. Specifically, these authors stated, without proof, that the entries of the inertia matrix may be completely parameterized by stacking elements of a regressor superset. This superset has the advantage of avoiding to derive the complete dyn...

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Bibliographic Details
Published in:Robotica 2013-01, Vol.31 (1), p.55-59
Main Author: Mulero-Martínez, Juan Ignacio
Format: Article
Language:English
Subjects:
Combinatorial analysis
Germanium
Inertia
Manipulators
Mathematical analysis
Proving
Robot arms
Robots
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Summary:This paper delivers a proof of a statement due to Ge and Lee. Specifically, these authors stated, without proof, that the entries of the inertia matrix may be completely parameterized by stacking elements of a regressor superset. This superset has the advantage of avoiding to derive the complete dynamics of a robot manipulator. On the basis of both mechanics and combinatorial arguments, we deliver a formal proof. In addition, we improve the estimations by sorting joint variables and partitioning the inertia matrix that results into the reduction of the regressor superset. The number of nonlinear functions in the regressor is also quantified. A 2 degrees of freedom revolute robot is presented to illustrate these ideas.
ISSN:0263-5747
1469-8668
DOI:10.1017/S0263574712000033