Skip to main content

An Iterative Calculation Method for Solve the Inverse Kinematics of a 7-DOF Robot with Link Offset

  • Conference paper
  • First Online:
Intelligent Robotics and Applications (ICIRA 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10464))

Included in the following conference series:

Abstract

This paper presents an inverse kinematics solution method for a 7-degrees-of-freedom (DOF) redundant robot with offset shoulder and wrist joints. Aiming at the plan-points of the 7-DOF redundant robot, we propose an iterative method to solve the inverse kinematics for a specific application scenario, that is, the orientation matrices and arm angle keep the same values during the movement of robot which can be found in some specific operations, like painting on a plane. The position, orientation and arm angle of current plan-point are used to calculate the corresponding values of next plan-point. Through iterative calculation, the inverse kinematics solutions can be obtained with the characteristic that the orientation matrices and arm angle maintain the same values for all plan-points. The comparison and analytical results show this iterative solving method is effective.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Similar content being viewed by others

References

  1. Xu, W.F., Lei, Y., Wang, Z.Y.: Dual arm-angle parameterisation and its applications for analytical inverse kinematics of redundant manipulators. Robotica, 1–20 (2015)

    Google Scholar 

  2. Shimizu, M., Kakuya, H., Yoon, W.K., Kitagaki, K., Kosuge, K.: Analytical inverse kinematic computation for 7-DOF redundant manipulators with joint limits and its application to redundancy resolution. IEEE Trans. Robot. 24(5), 1131–1142 (2008)

    Article  Google Scholar 

  3. Zu, D., Wu, Z.W., Tan, D.L.: Effecient inverse kinematic solution for redundant manipulators. Chin. J. Mech. Eng. 41(6), 71–75 (2005)

    Article  Google Scholar 

  4. Xu, W.F., Zhang, J.T., Yan, L., Wang, Z.Y.: Parameterized inverse kinematics resolution method for a redundant space manipulator with link offset. J. Aeronaut. 36(1), 33–39 (2015)

    Google Scholar 

  5. Yu, C., Jin, M.H., Liu, Y.: An analytical solution for inverse kinematic of 7-DOF redundant manipulators with offset-wrist. In: Proceedings of the 2012 International Conference on Mechatronics and Automation (ICMA), Chengdu, pp. 92–97 (2012)

    Google Scholar 

  6. Singh, G.K., Claassens, J.: An analytical solution for the inverse kinematics of a redundant 7DOF manipulator with link offsets. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), TaiPei, pp. 2976–2982 (2010)

    Google Scholar 

  7. Crane III, C.D., Duffy, J.: A kinematic analysis of the space station remote manipulator system (SSRMS). J. Robot. Syst. 8(5), 637–658 (1990)

    Article  MATH  Google Scholar 

  8. Luo, R.C., Lin, T.W., Tsai, Y.H.: Analytical inverse kinematic solution for modularized 7-DOF redundant manipulators with offsets at shoulder and wrist. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Chicago, pp. 516–521 (2014)

    Google Scholar 

  9. Jiang, L., Huo, X.J., Liu, Y.W., Liu, H.: An integrated inverse kinematic approach for the 7-DOF humanoid RRM with offset wrist. In: Proceeding of the IEEE International conference on Robotics and Biomimetics (ROBIO), Shenzhen, pp. 2737–2742 (2013)

    Google Scholar 

  10. Seraji, H.: Configuration control of redundant manipulators: theory and implementation. IEEE Trans. Robot. Autom. 5(4), 472–490 (1989)

    Article  Google Scholar 

  11. Glasst, K., Colbaught, R., Lim, D., Seraji, H.: On-line collision avoidance for redundant manipulators. In: Proceedings of the IEEE International Conference on Robotics and Automation, Atlanta, pp. 36–43 (1993)

    Google Scholar 

  12. Kenneth, K.D., Long, M., Seraji, H.: Kinematic analysis of 7-DOF manipulators. Int. J. Robot. Res. 11(4), 469–481 (1992)

    Google Scholar 

Download references

Acknowledgments

This work is supported in part by the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51521003), the National Natural Science Foundation of China (NO. 61603112) and the Self-Planned Task (NO. SKLRS201721A) of State Key Laboratory of Robotics and System (HIT).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jingdong Zhao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Lu, S., Gu, Y., Zhao, J., Jiang, L. (2017). An Iterative Calculation Method for Solve the Inverse Kinematics of a 7-DOF Robot with Link Offset. In: Huang, Y., Wu, H., Liu, H., Yin, Z. (eds) Intelligent Robotics and Applications. ICIRA 2017. Lecture Notes in Computer Science(), vol 10464. Springer, Cham. https://doi.org/10.1007/978-3-319-65298-6_65

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-65298-6_65

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65297-9

  • Online ISBN: 978-3-319-65298-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics