Affiliation:
1. Mihailo Pupin Institute, Belgrade
2. Department of Mechanical Engineering, University of Toronto, Toronto, Canada M5S 3G8
Abstract
Most of the robot task space control methods based on inverse Jacobian matrix suffer from instability in singular regions of workspace. Methods based on damped least-squares algorithm (DLS) for matrix inversion have been developed but not experimentally confirmed. The application of DLS method at the kinematic control level has been reported in (Chiaverini et al., 1994). In this article, a modified DLS method combined with the resolved-acceleration control scheme, is experimentally verified on two degrees of freedom of a PUMA-560 robot. In order to decrease the position error introduced by the damping, only small singular values are damped, in contrast to the conventional damping method were all the singular values are damped. The symbolic expressions of the singular value decomposition of the Jacobian matrix were used, to decrease the computational burden.
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference12 articles.
1. Chiaverini
S.
, SicilianoB., and EgelandO., 1994, “Review of the Damped Least-Squares Inverse Kinematics with Experiments on an Industrial Robot Manipulator,” IEEE Trans. on Control Systems Technology, Vol. 2, No. 2, pp. 123134.
2. Golub, G. H., and Van Loan, Ch. P., 1989, Matrix Computations, The John Hopkins University Press, Baltimore.
3. Kirc´anski, M., 1995, “Symbolic Singular Value Decomposition for Simple Redundant Manipulators and its Application to Robot Control,” Int. J. Robotics Research, Vol. 14, No. 4.
4. Kirc´anski
M.
, and Boric´M., 1993, “Symbolic Singular Value Decomposition for PUMA Robot and its Application to Robot Operation Near Singularities,” Int. J. of Robotics Research, Vol. 12, No. 5, pp. 460–472.
5. Kirc´anski, N., 1995, “Stability of Damped Resolved Acceleration Controlled Robots in Singularities,” RAL Int. Report, University of Toronto, Toronto.
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