Skip to main content

Sensitivity of Task Space Performance to Null Space Control in Presence of Model Uncertainties

  • Chapter
Experimental Robotics

Part of the book series: Springer Tracts in Advanced Robotics ((STAR,volume 79))

  • 10k Accesses

Abstract

This paper investigates the sensitivity of the task space tracking errors to null space tracking errors in the face of model uncertainties for several operational space controllers (OSCs). Under the same inaccurate robot model and digital control effects, experimental data on different OSCs indicated that the sensitivity of task space performance to its null space controller varies for different OSCs based on the way the controllers make use of the inaccurate robot model. Analysis of the error equations of different OSCs reveal several reasons of why some OSCs can give better performance than others. Also from the discussion, it is suggested that the inaccurate model should be used in joint space rather than in task space to avoid magnifying the model uncertainties through the kinematic chain.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. Nakamura, Y.: Advanced robotics: Redundancy and Optimization. Addison-Wesley series in electrical and computer engineering. Control engineering, xi, 337 p. Addison-Wesley Pub. Co. (1991)

    Google Scholar 

  2. Hollerbach, J., Ki, S.: Redundancy resolution of manipulators through torque optimization. IEEE Journal of Robotics and Automation 3(4) (1987)

    Google Scholar 

  3. Ping, H., Hauser, J., Sastry, S.: Dynamic control of redundant manipulators. Journal of Robotic Systems 6(2), 133–148 (1989)

    Article  MATH  Google Scholar 

  4. Khatib, O.: A unified approach for motion and force control of robot manipulators: the operational space formulation. IEEE Journal of Robotics and Automation RA-3(1), 43–53 (1987)

    Article  Google Scholar 

  5. Nakanishi, J., et al.: Operational space control: A theoretical and empirical comparison. International Journal of Robotics Research 27(6) (2008)

    Google Scholar 

  6. Vuong, N.D., et al.: Multi-rate operational space control of compliant motion in robotic manipulators. In: 2009 IEEE International Conference on Systems, Man and Cybernetics. IEEE, San Antonio (2009)

    Google Scholar 

  7. Sentis, L.: Synthesis and control of whole-body behaviors in humanoid systems. PhD Thesis, Stanford University Stanford, CA, US (2007)

    Google Scholar 

  8. Sentis, L., Khatib, O.: Synthesis of whole-body behaviors through hierarchical control of behavioral primitives. International Journal of Humanoid Robotics 2(4), 505–518 (2005)

    Article  Google Scholar 

  9. Vuong, N.D., et al.: An Analysis of the Operational Space Control of Robots. In: IEEE ICRA, pp. 4163–4168 (2010)

    Google Scholar 

  10. Peters, J., et al.: A unifying framework for robot control with redundant DOFs. Autonomous Robots 24(1), 1–12 (2008)

    Article  Google Scholar 

  11. Liegeois, A.: Automatic Supervisory Control of the Configuration and Behavior of Multibody Mechanisms. IEEE Transactions on Systems, Man and Cybernetics 7(12) (1977)

    Google Scholar 

  12. Hsu, P., Mauser, J., Sastry, S.: Dynamic control of redundant manipulators. Journal of Robotic Systems 6(2) (1989)

    Google Scholar 

  13. Yoshida, K., et al.: When is the set of base parameter values physically impossible? IEEE, Piscataway (1994)

    Google Scholar 

  14. Vuong, N.D., Ang Jr., M.H.: Dynamic Model Identification for Industrial Robots. Acta Polytechnica Hungarica 6(5) (2009)

    Google Scholar 

  15. Qu, Z., Dawson, D.M.: Robust Tracking Control of Robot Manipulators. IEEE Press (1996)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag GmbH Berlin Heidelberg

About this chapter

Cite this chapter

Vuong, N.D., Ma, C., Ang, M.H. (2014). Sensitivity of Task Space Performance to Null Space Control in Presence of Model Uncertainties. In: Khatib, O., Kumar, V., Sukhatme, G. (eds) Experimental Robotics. Springer Tracts in Advanced Robotics, vol 79. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28572-1_64

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28572-1_64

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28571-4

  • Online ISBN: 978-3-642-28572-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics