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A general approach to solve the singular kinematic problem

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

External Research Organisations

  • Technische Universität Braunschweig
  • University of New Brunswick

Details

Original languageEnglish
Title of host publicationProceedings of the 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2007
Pages3943-3949
Number of pages7
Publication statusPublished - Dec 2007
Externally publishedYes
Event2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2007 - San Diego, CA, United States
Duration: 29 Oct 20072 Nov 2007

Publication series

NameIEEE International Conference on Intelligent Robots and Systems

Abstract

Recently, a sophisticated and advanced strategy for kinematic calibration of parallel manipulators has been reported. The strategy relies on passing type two singularities (i.e., direct kinematic singularities) and is therefore referred to as singularity-based calibration. Within the parameter estimation process, the singularity-based calibration technique requires to solve a so-called singular kinematic problem (SKP). That is, it involves finding the position of one actuator for which the structure is in a singular configuration of type two under the condition that all other actuators are held at known constant positions. So far, this problem could only be solved for some simple manipulators and structure classes with a maximum of three degree of freedom and thereby limiting the applicability of the singularity-based calibration approach. This article contributes a general approach to close this gap making singularity-based calibration widely applicable. The technique will be demonstrated by means of exemplarily chosen parallel kinematic structures.

ASJC Scopus subject areas

Cite this

A general approach to solve the singular kinematic problem. / Last, Philipp; Raatz, Annika; Carretero, Juan A. et al.
Proceedings of the 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2007. 2007. p. 3943-3949 4399218 (IEEE International Conference on Intelligent Robots and Systems).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Last, P, Raatz, A, Carretero, JA & O'Brien, SM 2007, A general approach to solve the singular kinematic problem. in Proceedings of the 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2007., 4399218, IEEE International Conference on Intelligent Robots and Systems, pp. 3943-3949, 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2007, San Diego, CA, United States, 29 Oct 2007. https://doi.org/10.1109/IROS.2007.4399218
Last, P., Raatz, A., Carretero, J. A., & O'Brien, S. M. (2007). A general approach to solve the singular kinematic problem. In Proceedings of the 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2007 (pp. 3943-3949). Article 4399218 (IEEE International Conference on Intelligent Robots and Systems). https://doi.org/10.1109/IROS.2007.4399218
Last P, Raatz A, Carretero JA, O'Brien SM. A general approach to solve the singular kinematic problem. In Proceedings of the 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2007. 2007. p. 3943-3949. 4399218. (IEEE International Conference on Intelligent Robots and Systems). doi: 10.1109/IROS.2007.4399218
Last, Philipp ; Raatz, Annika ; Carretero, Juan A. et al. / A general approach to solve the singular kinematic problem. Proceedings of the 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2007. 2007. pp. 3943-3949 (IEEE International Conference on Intelligent Robots and Systems).
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abstract = "Recently, a sophisticated and advanced strategy for kinematic calibration of parallel manipulators has been reported. The strategy relies on passing type two singularities (i.e., direct kinematic singularities) and is therefore referred to as singularity-based calibration. Within the parameter estimation process, the singularity-based calibration technique requires to solve a so-called singular kinematic problem (SKP). That is, it involves finding the position of one actuator for which the structure is in a singular configuration of type two under the condition that all other actuators are held at known constant positions. So far, this problem could only be solved for some simple manipulators and structure classes with a maximum of three degree of freedom and thereby limiting the applicability of the singularity-based calibration approach. This article contributes a general approach to close this gap making singularity-based calibration widely applicable. The technique will be demonstrated by means of exemplarily chosen parallel kinematic structures.",
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