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Partially-flagged parallel manipulators: singularity charting and avoidance

AuthorsAlberich-Carramiñana, Maria ; Garolera, Marçal; Thomas, Federico ; Torras, Carme
KeywordsRedundant manipulators
Robot design
Issue Date2009
PublisherInstitute of Electrical and Electronics Engineers
CitationIEEE Transactions on Robotics 25(4): 771-784 (2009)
AbstractThere are only three 6-SPS parallel manipulators with triangular base and platform: the octahedral, the flagged, and the partially-flagged studied in this paper. The forward kinematics of the octahedral manipulator is algebraically intricate, while those of the other two can be solved by three trilaterations. As an additional nice feature, the flagged manipulator is the only parallel platform for which a cell decomposition of its singularity locus has been derived. Here we prove that the partially-flagged manipulator admits also a well-behaved decomposition, technically called a stratification, some of whose strata are not topological cells, though. Remarkably, the adjacency diagram of the 5 and 6 dimensional strata (which shows what 5 dimensional strata are contained in the closure of a 6 dimensional one) is the same as for the flagged manipulator. The availability of such a decomposition permits devising a redundant 7-SPS manipulator, combining two partially-flagged ones, which admits a control strategy that completely avoids singularities. Simulation results support these claims.
Publisher version (URL)http://dx.doi.org/10.1109/TRO.2009.2018970
Appears in Collections:(IRII) Artículos
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