Avoidance of Convex and Concave Obstacles With Convergence Ensured Through Contraction

© 2016 IEEE. This letter presents a closed-form approach to obstacle avoidance for multiple moving convex and star-shaped concave obstacles. The method takes inspiration in harmonic-potential fields. It inherits the convergence properties of harmonic potentials. We prove impenetrability of the obsta...

Full description

Bibliographic Details
Main Authors: Huber, Lukas, Billard, Aude, Slotine, Jean-Jacques
Other Authors: Massachusetts Institute of Technology. Nonlinear Systems Laboratory
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2021
Online Access:https://hdl.handle.net/1721.1/136208
_version_ 1826203797696806912
author Huber, Lukas
Billard, Aude
Slotine, Jean-Jacques
author2 Massachusetts Institute of Technology. Nonlinear Systems Laboratory
author_facet Massachusetts Institute of Technology. Nonlinear Systems Laboratory
Huber, Lukas
Billard, Aude
Slotine, Jean-Jacques
author_sort Huber, Lukas
collection MIT
description © 2016 IEEE. This letter presents a closed-form approach to obstacle avoidance for multiple moving convex and star-shaped concave obstacles. The method takes inspiration in harmonic-potential fields. It inherits the convergence properties of harmonic potentials. We prove impenetrability of the obstacles hull and asymptotic stability at a final goal location, using contraction theory. We validate the approach in a simulated co-worker industrial environment, with one KUKA arm engaged in a pick and place grocery task, avoiding in real-time humans moving in its vicinity and in simulation to drive wheel-chair robot in the presence of moving obstacles.
first_indexed 2024-09-23T12:43:12Z
format Article
id mit-1721.1/136208
institution Massachusetts Institute of Technology
language English
last_indexed 2024-09-23T12:43:12Z
publishDate 2021
publisher Institute of Electrical and Electronics Engineers (IEEE)
record_format dspace
spelling mit-1721.1/1362082023-03-24T18:07:26Z Avoidance of Convex and Concave Obstacles With Convergence Ensured Through Contraction Huber, Lukas Billard, Aude Slotine, Jean-Jacques Massachusetts Institute of Technology. Nonlinear Systems Laboratory © 2016 IEEE. This letter presents a closed-form approach to obstacle avoidance for multiple moving convex and star-shaped concave obstacles. The method takes inspiration in harmonic-potential fields. It inherits the convergence properties of harmonic potentials. We prove impenetrability of the obstacles hull and asymptotic stability at a final goal location, using contraction theory. We validate the approach in a simulated co-worker industrial environment, with one KUKA arm engaged in a pick and place grocery task, avoiding in real-time humans moving in its vicinity and in simulation to drive wheel-chair robot in the presence of moving obstacles. 2021-10-27T20:34:16Z 2021-10-27T20:34:16Z 2019 2020-08-07T15:38:27Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136208 en 10.1109/LRA.2019.2893676 IEEE Robotics and Automation Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) Other repository
spellingShingle Huber, Lukas
Billard, Aude
Slotine, Jean-Jacques
Avoidance of Convex and Concave Obstacles With Convergence Ensured Through Contraction
title Avoidance of Convex and Concave Obstacles With Convergence Ensured Through Contraction
title_full Avoidance of Convex and Concave Obstacles With Convergence Ensured Through Contraction
title_fullStr Avoidance of Convex and Concave Obstacles With Convergence Ensured Through Contraction
title_full_unstemmed Avoidance of Convex and Concave Obstacles With Convergence Ensured Through Contraction
title_short Avoidance of Convex and Concave Obstacles With Convergence Ensured Through Contraction
title_sort avoidance of convex and concave obstacles with convergence ensured through contraction
url https://hdl.handle.net/1721.1/136208
work_keys_str_mv AT huberlukas avoidanceofconvexandconcaveobstacleswithconvergenceensuredthroughcontraction
AT billardaude avoidanceofconvexandconcaveobstacleswithconvergenceensuredthroughcontraction
AT slotinejeanjacques avoidanceofconvexandconcaveobstacleswithconvergenceensuredthroughcontraction