Articles | Volume 7, issue 1
https://doi.org/10.5194/ms-7-31-2016
https://doi.org/10.5194/ms-7-31-2016
Research article
 | 
21 Jan 2016
Research article |  | 21 Jan 2016

Guaranteed detection of the singularities of 3R robotic manipulators

R. Benoit, N. Delanoue, S. Lagrange, and P. Wenger

Related subject area

Subject: Mechanisms and Robotics | Techniques and Approaches: Numerical Modeling and Analysis
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Cited articles

Baili, M.: Analyse et classification de manipulateurs 3R à axes orthogonaux, PhD thesis, Ecole Centrale de Nantes (ECN), Université de Nantes, France, 2004.
Baili, M., Wenger, P., and Chablat, D.: A Classification of 3R Orthogonal Manipulators by the Topology of their Workspace, in: Robotics and Automation, Proceedings, ICRA '04, IEEE International Conference on, 26 April–1 May 2004, New Orleans, LA, USA, 2, 1933–1938, 2004.
Bohigas, O., Zlatanov, D., Ros, L., Manubens, M., and Porta, J. M.: Numerical computation of manipulator singularities, in: Robotics and Automation (ICRA), IEEE International Conference on, 14–18 May 2012, Saint Paul, MN, USA, 1351–1358, 2012.
Bohigas, O., Manubens, M., and Ros, L.: Singularities of non-redundant manipulators: A short account and a method for their computation in the planar case, Mech. Mach. Theory, 68, 1–17, 2013.
Corvez, S. and Rouillier, F.: Using Computer Algebra Tools to Classify Serial Manipulators, chapter: Automated Deduction in Geometry, in: Lecture Notes in Computer Science, edited by: Winkler, F., Springer, Berlin, Germany, 2930, 31–43, 2004.
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We propose two Interval Analysis based methods to characterize novel robots. Interval analysis theory allows us to consider intervals instead of values, making it possible to use computer algorithms, without the drawback of rounding errors. The first proposed method can isolate chosen interest points and is applied to the characteristic cusp and node points of 3R orthogonal manipulators. The second method encloses the robot available postures, giving complementary information on the novel robot.