Skip to main content

Hybrid Position-Orientation Decoupling in Robot Manipulators

  • Chapter
Book cover Advances in Robot Kinematics and Computational Geometry
  • 572 Accesses

Abstract

Kinematic decoupling in robotic manipulators implies that there is a subset of joints primarily responsible for the completion of a subset of the manipulator task. In this paper, we take a general view of kinematic decoupling in which we identify link subsystems primarily responsible for completion of a hybrid combination of both position and orientation. Our analysis leads to the discovery of decoupled manipulator geometries, for which closed-form inverse kinematic solutions are guaranteed. Kinematic decoupling also implies singularity decoupling wherein singularities of decoupled subsystems are equivalent to the manipulator singularities. The analysis leads to another method for identifying the singularities and solving the inverse kinematics problem of six-axes, serial-chain manipulators with decoupled geometries. The practicality of the concepts introduced is demonstrated through an industrial robot example involving a hybrid position and orientation decoupling.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 349.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 449.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 449.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M Raghavan and B. Roth. “Kinematic Analysis of the 6R Manipulator of General Geometry”. In H. Miura and S. Arimoto, editors, Proceedings of the Fifth International Symposium on Robotics Research, MIT Press, Cambridge, MA, 1990.

    Google Scholar 

  2. M Raghavan and B. Roth. “A General Solution for the Inverse Kinematics Feedback for Automatic Assembly”. In IFAC Symposium of Information and Control Problems in Manufacturing Technology, Tokyo, 1977.

    Google Scholar 

  3. D.L. Pieper. The Kinematics of Manipulators Under Computer Control. PhD thesis, Computer Science Department, Stanford University, Stanford, CA, October 1968.

    Google Scholar 

  4. Mavroidis and Roth B. “Structural Parameters Which Reduce the Number of Manipulator Configurations”. In Robotics, Spatial Mechanisms, and Mechanical Systems (ASME 22nd Biennial Mechanisms Conference, DE-45), pages 359–366, ASME Design Engineering Division, Scottsdale, AZ, September 13–16 1992.

    Google Scholar 

  5. J.Duffy. Analysis of Mechanisms and Robot Manipulators. Edward Arnold, London, UK, 1980.

    Google Scholar 

  6. K.S. Fu, R.C. Gonzalez, and C.S.G. Lee. Robotics: Control, Sensing, Vision, and Intelligence. McGraw-Hill, New York, NY, 1987.

    Google Scholar 

  7. R.P. Paul. Robot Manipulators - Mathematics, Programmming and Control. MIT Press, Cambridge, MA, 1981.

    Google Scholar 

  8. CRC Handbook of Mathematical Sciences. CRC Press, West Palm Beach, FL, 1978.

    Google Scholar 

  9. M. Renaud. “Geometric and Kinematic Models of a Robot Manipulator: Calculation of the Jacobian Matrix and its Inverse”. In Proceedings of the 11th International Symposium on Industrial Robots, pages 757–763, Tokyo, Japan, October 7–9, 1981.

    Google Scholar 

  10. V.D. Tourassis and M.H. Ang Jr. “Identification and Analysis of Robot Manipulator Singularities”. International Journal of Robotics Research, 11 (3): 248–259, June 1992.

    Article  Google Scholar 

  11. V.D. Tourassis and M.H. Ang Jr. “A Modular Architecture for Inverse Robot Kinematics”. IEEE Transactions on Robotics and Automation, 5 (5): 555–568, October 1989.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Ang, M.H. (1994). Hybrid Position-Orientation Decoupling in Robot Manipulators. In: Lenarčič, J., Ravani, B. (eds) Advances in Robot Kinematics and Computational Geometry. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8348-0_33

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8348-0_33

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4434-1

  • Online ISBN: 978-94-015-8348-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics