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A numerical algorithm for solving robot inverse kinematics

Published online by Cambridge University Press:  09 March 2009

K. C. Gupta  and
V. K. Singh
K. C. Gupta
Affiliation:
Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60680 (U.S.A.)
V. K. Singh
Affiliation:
Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60680 (U.S.A.)
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Summary

An extension of the inverse kinematics algorithm by Gupta and Kazerounian is presented. The robot kinematics is formulated by using the Zero Reference Position Method. Euler parameters and the related vector forms of the spatial rotation concatenation have been used to improve the efficiency of the velocity Jacobian computation. The joint rates are formally integrated by using a modified predictor-corrector method particularized to robot inverse kinematics – it is a strict descending, p(1)c(0 – n), variable step algorithm. The definitions of the rotational error and overall error measure have been revised. Depending upon the convergence criteria used, these modifications reduce the overall computational time by 20%.

Keywords

Inverse kinematicsIterative methodEuler parametersRobotsNumerical algorithm.
Type
Research Article
Information
Robotica , Volume 7 , Issue 2 , April 1989 , pp. 159 - 164
Copyright
Copyright © Cambridge University Press 1989

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