Skip to main content
Log in

Application of the general elimination method in robot kinematics

  • Published:
Journal of Intelligent and Robotic Systems Aims and scope Submit manuscript

Abstract

A general method for solving the robot inverse kinematics problem is presented. The method is based upon the general elimination method to obtain the equivalent system of equations which are ‘triangularized’ and the solutions of the inverse kinematics problem can be solved by backsubstitutions.

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. Buchberger, B.: Applications of Grobner bases in non-linear computational geometry,Proc. Workshop on Scientific Software, IMA, Minneapolis, 1987.

    Google Scholar 

  2. Waldron, K.J., Wang, S.L. and Bolin, S.J.: A study of the Jacobian matrix of serial manipulators,J. Mech., Transm., Automat. Design, Trans. ASME 107(2) (1985).

  3. Litvin, Yi. and Parenti Castelli, V.: Singularities, configurations, and displacement functions for manipulators,Internat. J. Robotics Res. 5(2) (1986).

  4. Stifter, S.: Algebraic methods for computing inverse kinematics,Internat. Workshop, Mathematical Methods of Robotics, Antwerp, June 1991.

  5. Denavit, J. and Hartenberg, R.S.: A kinematic notation for a lower-pair mechanism based on matrices,J. Appl. Mech. (June 1955).

  6. Paul, R.P.:Robot Manipulators Mathematics, Programing and Control, MIT Press, Cambridge, MA, 1981.

    Google Scholar 

  7. Paul, R.P.: Kinematic control equations for simple manipulators,IEEE Trans. Systems Man Cybernet. SMC-11(6) (1981).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Markus, L. Application of the general elimination method in robot kinematics. J Intell Robot Syst 11, 109–116 (1994). https://doi.org/10.1007/BF01258297

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01258297

Key words

Navigation