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As mentioned in issues #16 and #15, EAIK is currently unable to detect 6R manipulators that are singular in every configuration.
While we often succeed in providing LS solutions if such manipulator is decomposable into SP 1-4 (LS solutions), decompositions into SP5 and SP6 typically yield no solution if they are faced with redundant kinematic chains.
In my opinion, there are two ways to cope with this issue:
- Empirical detection, e.g., by (exhaustive?) set of configurations causing redundancy:
There is a set of known configurations that will be singular in every configuration:
Geometric Interpretation of Manipulator Singularities by Paden and Sastry:
https://www2.eecs.berkeley.edu/Pubs/TechRpts/1984/378.html - Further robustification of the subproblems w.r.t. these chains
If the first option is chosen, this should go along with a numeric fallback that intervenes in such situations or an empirical selection of the redundant joint and user-side parametrization.
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