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Control of a Sphere Rolling on a Plane with Constrained Rolling Motion
Nakashima, Akira
Nagase, Kenji
Hayakawa, Yoshikazu
open access
Copyright © 2005 IEEE. Reprinted from (relevant publication info). This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Nagoya University’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org.
In this paper, we discuss control of contact coordinates for a contact point between a sphere and a plane with pure rolling contact by using iterative closed paths on the sphere with contstrained rolling motion. We first analyze the boundary of the reachable area by the closed path with constrained rolling motion. Utilizing the result, we second propose a method which converge all the contact coordinates to a target point by the iteration of a finite number of the closed paths. A numerical example where the rolling motion is restricted to the area on the semisphere shows the effectiveness of the proposed method.
IEEE
2005-12
eng
journal article
VoR
http://hdl.handle.net/2237/6799
https://nagoya.repo.nii.ac.jp/records/5215
https://doi.org/10.1109/CDC.2005.1582362
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005 (Seville, Spain, Dec 2005)
1445
1452
https://nagoya.repo.nii.ac.jp/record/5215/files/2497.pdf
application/pdf
399.9 kB
2018-02-19