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New approaches to manipulator arm solutions via unconstrained optimization theory

Published online by Cambridge University Press:  09 March 2009

Shinobu Sasaki
Shinobu Sasaki
Affiliation:
Reactor EngineeringJapan Atomic Energy Research InstituteTokai-muraNaka-gunIbaraki-ken (Japan)
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Summary

In this study, highly practical and reliable methods are proposed to determine arm solutions for a six-link robot manipulator. Based on a typical mathematical structure of minimizing an objective function, the optimization theory is applied to solve a reduced system of kinematic equations. The performance tests show that three different approaches are superior to a conventional method and of sufficiently practical use. Especially, the use of an algorithm presented in a linear search is promising.

Keywords

Six-link robotOptimization theoryKinematic analysisInverse problem.
Type
Research Article
Information
Robotica , Volume 11 , Issue 3 , May 1993 , pp. 253 - 262
Copyright
Copyright © Cambridge University Press 1993

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References

1.P., Coiffet, Robot Technology-Modelling and Control Vol. 1 (Prentice-Hall Inc., Englewood Cliffs, 1983).Google Scholar
2.Paul, R.C., Robot Manipulators-Mathematics, Program- ming and Control (The MIT Press, Cambridge, MASS, 1981).Google Scholar
3.Pieper, D.L., “The Kinematics of Manipulators under Computer Control” PhD. Thesis (Stanford University, Stanford, 1968).Google Scholar
4.Sasaki, S., “Inverse Kinematics Algorithms for a Six-Link Manipulator Using a Polynomial Expression” Trans, of the Society of Instrument and Control Eng. 23(5), 485–490 (1987).CrossRefGoogle Scholar
5.Sasaki, S., “A New Approach to the Inverse Kinematics of a Multi-Joint Robot Manipulator Using a Minimization Method” Trans, of the Society of Instrument and Control Eng. 23(3), 274–280 (1987).CrossRefGoogle Scholar
6.Sasaki, S., “A Method of Solving the Inverse Kinematics Based on Separation of Articulated Variables” Trans, of the Society of Instrument and Control Eng. 26(6), 685–691 (1990).CrossRefGoogle Scholar
7.Kowalik, J. and Osborne, M.R., Methods for Unconstrained Optimization Problems (American Elsevier Publishing Company, Inc., New York, 1968).Google Scholar
8.Davidon, W.C., “Variable Metric Method for Minimization” A EC Research and Development Report ANL-5990(Rev.) (1959).Google Scholar
9.Huang, H.U., “Unified Approach to Quadratically Convergent Algorithms for Function Minimization” /. Optimization Theory & Appl. 5, 405–423 (1970).CrossRefGoogle Scholar
10.Broyden, C.G., “Quasi-Newton Methods and Their Application to Function Minimization” Math. Comp. 21, 368–381 (1967).CrossRefGoogle Scholar