Please use this identifier to cite or link to this item: http://hdl.handle.net/10125/29504

Geometric Path Planning for a Lego AUV

File SizeFormat 
MA_2012_Andonian.pdf1.54 MBAdobe PDFView/Open

Item Summary

Title: Geometric Path Planning for a Lego AUV
Authors: Andonian, Michael
Instructor: Chyba, Monique
Issue Date: 2012
Publisher: University of Hawaii at Manoa
Abstract: For the last thirty years or so, differential geometry and control theory have merged and grown together to produce extraordinary results. When applied to mechanical systems, one sees a system waiting to be exploited for its inherent geometric properties. In this paper, we present the equations of motion for a submerged rigid body from a geometric point of view and use tools from differential geometry to provide solutions to the motion planning problem for an autonomous underwater vehicle. Specifically, the geometry allows us to deduce permissible motions for a vehicle that is underactuated purely from the available degrees of freedom. The geometric equations of motion are then used to path plan for a cost-effective Lego vehicle through simulations and actual implementation as providing a proof of concept.
Pages/Duration: 29 pages
URI/DOI: http://hdl.handle.net/10125/29504
Rights: All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Attribution-NonCommercial-NoDerivs 3.0 United States
Appears in Collections:M.A. Plan B Theses- Mathematics Department



Items in ScholarSpace are protected by copyright, with all rights reserved, unless otherwise indicated.