The univariate closure conditions of all fully parallel planar robots derived from a single polynomial
File(s)AllPlanarPlatforms.pdf (263.34 KB)
Accepted version
Author(s)
N. Rojas
F. Thomas
Type
Journal Article
Abstract
The real roots of the univariate polynomial closure condition of a planar parallel robot determine the solutions of its forward kinematics. This paper shows how the univariate polynomials of all fully parallel planar robots can be derived directly from that of the widely known 3-RPR robot by simply formulating these polynomials in terms of distances and oriented areas. This is a relevant result because it avoids the case-by-case treatment that requires different sets of variable eliminations to obtain the univariate polynomial of each fully parallel planar robot.
Date Issued
2013-02-13
Date Acceptance
2013-01-15
Citation
IEEE Transactions on Robotics, 2013, 29 (3), pp.758-765
ISSN
1941-0468
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Start Page
758
End Page
765
Journal / Book Title
IEEE Transactions on Robotics
Volume
29
Issue
3
Copyright Statement
© 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Subjects
Industrial Engineering & Automation
0801 Artificial Intelligence And Image Processing
0906 Electrical And Electronic Engineering
0913 Mechanical Engineering