Title :
A new Coriolis matrix factorization
Author :
Bjerkeng, Magnus ; Pettersen, Kristin Y.
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim, Norway
Abstract :
This paper presents a novel Coriolis/centripetal matrix factorization applicable to serial link rigid manipulators. The computationally efficient Coriolis matrix factorization is explicitly given as a function of the robot´s kinematic matrices and their time derivatives which are easily obtained using the Denavit-Hartenberg-convention. The factorization is different from the popular Christoffel symbol representation, but the important skew-symmetry property is preserved. The proposed factorization is used to determine the class of manipulators for which a particular non-minimal representation of the manipulator dynamics exists.
Keywords :
computational complexity; manipulator dynamics; manipulator kinematics; matrix decomposition; Christoffel symbol representation; Coriolis matrix factorization; Denavit-Hartenberg-convention; centripetal matrix factorization; computational complexity comparison; manipulator dynamics; nonminimal representation; robot kinematic matrix; serial link rigid manipulators; skew-symmetry property; time derivative; Force; Jacobian matrices; Joints; Manipulators; Mathematical model; Symmetric matrices; Transmission line matrix methods;
Conference_Titel :
Robotics and Automation (ICRA), 2012 IEEE International Conference on
Conference_Location :
Saint Paul, MN
Print_ISBN :
978-1-4673-1403-9
Electronic_ISBN :
1050-4729
DOI :
10.1109/ICRA.2012.6224820