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New interval-based approach to determine the guaranteed singularity-free workspace of parallel robots

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autorschaft

  • Jens Kotlarski
  • Roderick De Nijs
  • H. Abdellatif
  • Bodo Heimann

Organisationseinheiten

Externe Organisationen

  • Universidad Politecnica de Valencia

Details

OriginalspracheEnglisch
Titel des Sammelwerks2009 IEEE International Conference on Robotics and Automation, ICRA 2009
ErscheinungsortKobe, Japan
Seiten1256-1261
Seitenumfang6
PublikationsstatusVeröffentlicht - 2009
Veranstaltung2009 IEEE International Conference on Robotics and Automation, ICRA '09 - Kobe, Japan
Dauer: 12 Mai 200917 Mai 2009

Publikationsreihe

NameProceedings - IEEE International Conference on Robotics and Automation
ISSN (Print)1050-4729

Abstract

In the present paper we introduce an improved method to obtain the guaranteed singularity-free workspace of planar parallel kinematic machines. A geometric condition for the existence of singularities is extended to be used in interval analysis. Therefore, we eliminate the need of calculating the inconvenient interval form of the Jacobian's determinant. Hence, an appropriate description of the singularity-free workspace is obtained and the computational effort is reduced significantly. With the interval-based approach error sources, like manufacturing tolerances, can be considered. Consequently, regions that do not satisfy the proposed condition can be guaranteed not to have any type-two singularities. Several analysis examples demonstrate the efficiency of the proposed geometrical-based solver in comparison to existing solvers, i.e. based on the Jacobian's determinant.

ASJC Scopus Sachgebiete

Zitieren

New interval-based approach to determine the guaranteed singularity-free workspace of parallel robots. / Kotlarski, Jens; De Nijs, Roderick; Abdellatif, H. et al.
2009 IEEE International Conference on Robotics and Automation, ICRA 2009. Kobe, Japan, 2009. S. 1256-1261 5152221 (Proceedings - IEEE International Conference on Robotics and Automation).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Kotlarski, J, De Nijs, R, Abdellatif, H & Heimann, B 2009, New interval-based approach to determine the guaranteed singularity-free workspace of parallel robots. in 2009 IEEE International Conference on Robotics and Automation, ICRA 2009., 5152221, Proceedings - IEEE International Conference on Robotics and Automation, Kobe, Japan, S. 1256-1261, 2009 IEEE International Conference on Robotics and Automation, ICRA '09, Kobe, Japan, 12 Mai 2009. https://doi.org/10.1109/ROBOT.2009.5152221
Kotlarski, J., De Nijs, R., Abdellatif, H., & Heimann, B. (2009). New interval-based approach to determine the guaranteed singularity-free workspace of parallel robots. In 2009 IEEE International Conference on Robotics and Automation, ICRA 2009 (S. 1256-1261). Artikel 5152221 (Proceedings - IEEE International Conference on Robotics and Automation).. https://doi.org/10.1109/ROBOT.2009.5152221
Kotlarski J, De Nijs R, Abdellatif H, Heimann B. New interval-based approach to determine the guaranteed singularity-free workspace of parallel robots. in 2009 IEEE International Conference on Robotics and Automation, ICRA 2009. Kobe, Japan. 2009. S. 1256-1261. 5152221. (Proceedings - IEEE International Conference on Robotics and Automation). doi: 10.1109/ROBOT.2009.5152221
Kotlarski, Jens ; De Nijs, Roderick ; Abdellatif, H. et al. / New interval-based approach to determine the guaranteed singularity-free workspace of parallel robots. 2009 IEEE International Conference on Robotics and Automation, ICRA 2009. Kobe, Japan, 2009. S. 1256-1261 (Proceedings - IEEE International Conference on Robotics and Automation).
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title = "New interval-based approach to determine the guaranteed singularity-free workspace of parallel robots",
abstract = "In the present paper we introduce an improved method to obtain the guaranteed singularity-free workspace of planar parallel kinematic machines. A geometric condition for the existence of singularities is extended to be used in interval analysis. Therefore, we eliminate the need of calculating the inconvenient interval form of the Jacobian's determinant. Hence, an appropriate description of the singularity-free workspace is obtained and the computational effort is reduced significantly. With the interval-based approach error sources, like manufacturing tolerances, can be considered. Consequently, regions that do not satisfy the proposed condition can be guaranteed not to have any type-two singularities. Several analysis examples demonstrate the efficiency of the proposed geometrical-based solver in comparison to existing solvers, i.e. based on the Jacobian's determinant.",
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