Publication
A general method for the numerical computation of manipulator singularity sets
Journal Article (2014)
Journal
IEEE Transactions on Robotics
Pages
340-351
Volume
30
Number
2
Doc link
http://dx.doi.org/10.1109/TRO.2013.2283416
File
Abstract
The analysis of singularities is central to the development and control of a manipulator. However, existing methods for singularity set computation still concentrate on specific classes of manipulators. The absence of general methods able to perform such computation on a large class of manipulators is problematic because it hinders the analysis of unconventional manipulators and the development of new robot topologies. The purpose of this paper is to provide such a method for nonredundant mechanisms with algebraic lower pairs and designated input and output speeds. We formulate systems of equations that describe the whole singularity set and each one of the singularity types independently, and show how to compute the configurations in each type using a numerical technique based on linear relaxations. The method can be used to analyze manipulators with arbitrary geometry, and it isolates the singularities with the desired accuracy. We illustrate the formulation of the conditions and their numerical solution with examples, and use 3-D projections to visualize the complex partitions of the configuration space induced by the singularities.
Categories
robots.
Author keywords
singularity set computation, non-redundant manipulator, linear relaxation, branch-and-prune method
Scientific reference
O. Bohigas, D. Zlatanov, L. Ros, M. Manubens and J.M. Porta. A general method for the numerical computation of manipulator singularity sets. IEEE Transactions on Robotics, 30(2): 340-351, 2014.
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