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.
Similar content being viewed by others
References
Buchberger, B.: Applications of Grobner bases in non-linear computational geometry,Proc. Workshop on Scientific Software, IMA, Minneapolis, 1987.
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).
Litvin, Yi. and Parenti Castelli, V.: Singularities, configurations, and displacement functions for manipulators,Internat. J. Robotics Res. 5(2) (1986).
Stifter, S.: Algebraic methods for computing inverse kinematics,Internat. Workshop, Mathematical Methods of Robotics, Antwerp, June 1991.
Denavit, J. and Hartenberg, R.S.: A kinematic notation for a lower-pair mechanism based on matrices,J. Appl. Mech. (June 1955).
Paul, R.P.:Robot Manipulators Mathematics, Programing and Control, MIT Press, Cambridge, MA, 1981.
Paul, R.P.: Kinematic control equations for simple manipulators,IEEE Trans. Systems Man Cybernet. SMC-11(6) (1981).
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01258297