Skip to main content
Log in

Planning motion trace of robot by spinor method

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The spinors applied to describe position and attitude of robot are studied. In dual spaces, the terminal trace of robot is planned through the mapping point, of attitude spinors. As a handy method directly perceived through the sense, the spinor method directly converges tracking error in the planning. It promotes the dynamic accuracy of trace operation. It is also suitable to the exerciser with redundant freedom.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Paul R P. Manipulator cartesian path contor[J].IEEE Transaction on Systems, Man and Cybernetics, 1979,9(11):702–711

    Article  MATH  MathSciNet  Google Scholar 

  2. Taylor R H. Planning and execution of straight line trajectories [J].IBM Journal of Research and Development, 1979,23:424–436.

    Article  Google Scholar 

  3. Lin C S, Chang P R, Luh J Y S. Formulation and optimization of cubic polynomial joint trajectories for industrial robots [J].IEEE Transaction on Automatic Control, 1983,28(12):1066–1073.

    Article  MATH  Google Scholar 

  4. Luh J Y S, Lin C S. Approximate join trajectories for control of industrial robots along cartesian paths[J].IEEE Trans on Sytem, Man and Cybernetics, 1984,14(3):444–450.

    Google Scholar 

  5. Lin Ruilin, Jiang Shaoyin, Lin Bi. Application of spinor method to the dynamic analysis of robot [J].Applied Mathematics and Mechanics (English Edition), 1996,17(1):77–83.

    MATH  Google Scholar 

  6. Xu Weiliang, Zhang Qigang. Monte carlo method for analysing error of robot[J].Robots, 1988,2 (4):1–5.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Tang Renji

Foundation item: the Natural Science Foundation of Fujian Province, China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ruilin, L. Planning motion trace of robot by spinor method. Appl Math Mech 21, 109–116 (2000). https://doi.org/10.1007/BF02458547

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458547

Key words

CLC number

Navigation