A more compact expression of relative Jacobian based on individual manipulator Jacobians

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Publication Details

Author list: Jamisola RS, Roberts RG

Publisher: Elsevier

Place: AMSTERDAM

Publication year: 2015

Journal: Robotics and Autonomous Systems (0921-8890)

Journal acronym: ROBOT AUTON SYST

Volume number: 63

Start page: 158

End page: 164

Number of pages: 7

ISSN: 0921-8890

Languages: English-Great Britain (EN-GB)

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Abstract

This work presents a re-derivation of relative Jacobian matrix for parallel (dual-arm) manipulators, expressed in terms of the individual manipulator Jacobians and multiplied by their corresponding transformation matrices. This is particularly useful when the individual manipulator Jacobians are given, such that one would not need to derive an entirely new expression of a relative Jacobian but will only use the existing manipulator Jacobians and perform the necessary transformations. In this work, the final result reveals a wrench transformation matrix which was not present in previous derivations, or was not explicitly expressed. The proposed Jacobian expression results in a simplified, more compact and intuitive form. It will be shown that the wrench transformation matrix is present in stationary as well as mobile combined manipulators. Simulation results show that at high angular end-effector velocities, the contribution of the wrench transformation matrix cannot be ignored. (C) 2014 Elsevier B.V. All rights reserved.

Keywords

Combined manipulators, Dual-arms, Kinematics, Relative Jacobian, Wrench transformation matrix

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