Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-16T19:25:28.315Z Has data issue: false hasContentIssue false

A new method for calculating the Jacobian for a robot manipulator

Published online by Cambridge University Press:  09 March 2009

Jadran Lenarčič
Affiliation:
Department of Automatics, Biocybernetics and Robotics, University of “Edvard Kardelj”, Institut “Jožef Stefan”, Jamova 39, Ljubljana (Yugoslavia)

Summary

A new method for calculating the Jacobian for a general n degree-of-freedom robot manipulator is presented and compared with some known other methods. The computational efficiency of the method is estimated in terms of the number of multiplications, additions/subtractions, trigonometric functions required, and the execution time on a VAX 11/750 computer. It is shown that the new method proposed in this paper is one of the most efficient when applied on a robot manipulator with successively parallel or rectangular joint rotations.

Type
Article
Copyright
Copyright © Cambridge University Press 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Lenarčič, J., Oblak, P. and Stanič, U., “Methods for Comuting Functional Trajectories of an Industrial Robot” Proc. of the 3rd Yugoslav Symposium on Applied Robotics, Vrnjačka Banja, Yugoslavia (1983).Google Scholar
2.Renaud, M., “Geometric and Kinematic Models of a Robot Manipulator: Calculation of Jacobian and its Inverse” Proc. of 11th ISIR, Tokyo, Japan (1981).Google Scholar
3.Takano, M., Yashima, K. and Yada, S., “Development of Computer Simulation System of Kinematics and Dynamics of RobotJ. Faculty of Eng. The University of Tokyo XXXVI, No. 4, 677711 (1982).Google Scholar
4.Paul, R.P., Robot Manipulators: Mathematics, Programming and Control (The MIT Press, Massachusetts and London UK, 1981).Google Scholar
5.Vukobratović, M. and Potkonjak, V., Dynamic of Manipulation Robots (Springer-Verlag, Berlin, Heidelberg, New York, USA, 1982).CrossRefGoogle Scholar
6.Luh, J.Y.S., “An Anatomy of Industrial Robots and Their ControlsIEEE Trans. on Automatic Control, AC-28, No. 2, 133153 (1983).CrossRefGoogle Scholar
7.Waldron, K.J., “Geometrically Based Manipulator Rate Control AlgorithmsMechanism and Theory 17, No. 6, 379385 (1982).CrossRefGoogle Scholar
8.Lenarčič, J., “Kinematic Equations of Robot ManipulatorsInt. J. Digital Systems for Industrial Automation 2, No. 2 (1983).Google Scholar
9.Orin, D.E. and Schrader, W.W., “Efficient Jacobian Determination for Robot Manipulators” Proc. of 6th IFToMM Congress, New Delhi, India (1983).Google Scholar