Identifiability Analysis of Planar Rigid-Body Frictional Contact
This paper addresses the identifiability of the inertial parameters and the contact forces associated with an object making and breaking frictional contact with the environment. Our goal is to explore under what conditions, and to what degree, the observation of physical interaction, in the form of...
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Springer Nature America, Inc
2019
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Online Access: | http://hdl.handle.net/1721.1/120003 https://orcid.org/0000-0003-0834-4767 https://orcid.org/0000-0002-1119-4512 https://orcid.org/0000-0002-8712-7092 |
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author | Fazeli, Nima Rodriguez Garcia, Alberto Tedrake, Russell L |
author2 | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory |
author_facet | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Fazeli, Nima Rodriguez Garcia, Alberto Tedrake, Russell L |
author_sort | Fazeli, Nima |
collection | MIT |
description | This paper addresses the identifiability of the inertial parameters and the contact forces associated with an object making and breaking frictional contact with the environment. Our goal is to explore under what conditions, and to what degree, the observation of physical interaction, in the form of motions and/or forces, is indicative of the underlying dynamics that governs it. In this initial study we consider the cases of passive interaction, where an object free-falls under gravity, and active interaction, where known external perturbations act on the object at contact. We assume that both object and environment are planar and rigid, and exploit the well-known complementarity formulation for contact resolution to establish a closed-form relationship between inertial parameters, contact forces, and observed motions. Consistent with intuition, the analysis indicates that without the application of known external forces, the identifiable set of parameters remains coupled, i.e., the ratio of mass moment of inertia to mass and the ratio of contact forces to the mass. Interestingly, the analysis also shows that known external forces can lead to decoupling and identifiability of mass, mass moment of inertia, and normal and tangential contact forces. We evaluate the identifiability formulation both in simulation and with real experiments. |
first_indexed | 2024-09-23T10:52:04Z |
format | Article |
id | mit-1721.1/120003 |
institution | Massachusetts Institute of Technology |
last_indexed | 2024-09-23T10:52:04Z |
publishDate | 2019 |
publisher | Springer Nature America, Inc |
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spelling | mit-1721.1/1200032022-09-27T15:34:29Z Identifiability Analysis of Planar Rigid-Body Frictional Contact Fazeli, Nima Rodriguez Garcia, Alberto Tedrake, Russell L Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Mechanical Engineering Fazeli, Nima Rodriguez Garcia, Alberto Tedrake, Russell L This paper addresses the identifiability of the inertial parameters and the contact forces associated with an object making and breaking frictional contact with the environment. Our goal is to explore under what conditions, and to what degree, the observation of physical interaction, in the form of motions and/or forces, is indicative of the underlying dynamics that governs it. In this initial study we consider the cases of passive interaction, where an object free-falls under gravity, and active interaction, where known external perturbations act on the object at contact. We assume that both object and environment are planar and rigid, and exploit the well-known complementarity formulation for contact resolution to establish a closed-form relationship between inertial parameters, contact forces, and observed motions. Consistent with intuition, the analysis indicates that without the application of known external forces, the identifiable set of parameters remains coupled, i.e., the ratio of mass moment of inertia to mass and the ratio of contact forces to the mass. Interestingly, the analysis also shows that known external forces can lead to decoupling and identifiability of mass, mass moment of inertia, and normal and tangential contact forces. We evaluate the identifiability formulation both in simulation and with real experiments. 2019-01-11T19:20:41Z 2019-01-11T19:20:41Z 2017-02 2018-12-17T18:33:37Z Article http://purl.org/eprint/type/ConferencePaper 978-3-319-60915-7 978-3-319-60916-4 2511-1256 2511-1264 http://hdl.handle.net/1721.1/120003 Fazeli, Nima, Russ Tedrake, and Alberto Rodriguez. “Identifiability Analysis of Planar Rigid-Body Frictional Contact.” Robotics Research (July 25, 2017): 665–682. https://orcid.org/0000-0003-0834-4767 https://orcid.org/0000-0002-1119-4512 https://orcid.org/0000-0002-8712-7092 http://dx.doi.org/10.1007/978-3-319-60916-4_38 Robotics Research Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer Nature America, Inc Other repository |
spellingShingle | Fazeli, Nima Rodriguez Garcia, Alberto Tedrake, Russell L Identifiability Analysis of Planar Rigid-Body Frictional Contact |
title | Identifiability Analysis of Planar Rigid-Body Frictional Contact |
title_full | Identifiability Analysis of Planar Rigid-Body Frictional Contact |
title_fullStr | Identifiability Analysis of Planar Rigid-Body Frictional Contact |
title_full_unstemmed | Identifiability Analysis of Planar Rigid-Body Frictional Contact |
title_short | Identifiability Analysis of Planar Rigid-Body Frictional Contact |
title_sort | identifiability analysis of planar rigid body frictional contact |
url | http://hdl.handle.net/1721.1/120003 https://orcid.org/0000-0003-0834-4767 https://orcid.org/0000-0002-1119-4512 https://orcid.org/0000-0002-8712-7092 |
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