Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer

This paper proposes a friction model parameter identification routine that can work with highly nonlinear and chaotic systems. The chosen system for this study is a passively-actuated tilted Furuta pendulum, which is known to have a highly nonlinear and coupled model. The pendulum is tilted to ensur...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Wadi, Ali (author)
مؤلفون آخرون: Mukhopadhyay, Shayok (author), Romdhane, Lotfi (author)
التنسيق: article
منشور في: 2022
الموضوعات:
الوصول للمادة أونلاين:http://hdl.handle.net/11073/23583
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author Wadi, Ali
author2 Mukhopadhyay, Shayok
Romdhane, Lotfi
author2_role author
author
author_facet Wadi, Ali
Mukhopadhyay, Shayok
Romdhane, Lotfi
author_role author
dc.creator.none.fl_str_mv Wadi, Ali
Mukhopadhyay, Shayok
Romdhane, Lotfi
dc.date.none.fl_str_mv 2022-04-26T07:51:46Z
2022-04-26T07:51:46Z
2022-04
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv A. Wadi, S. Mukhopadhyay and L. Romdhane, "Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer," in IEEE Access, vol. 10, pp. 39177-39192, 2022, doi: 10.1109/ACCESS.2022.3165081.
2169-3536
http://hdl.handle.net/11073/23583
10.1109/ACCESS.2022.3165081
dc.language.none.fl_str_mv en_US
dc.publisher.none.fl_str_mv IEEE
dc.relation.none.fl_str_mv https://doi.org/10.1109/ACCESS.2022.3165081
dc.subject.none.fl_str_mv Furuta pendulum
Rotary inverted pendulum
Parameter identification
Universal adaptive stabilizer
Viscous friction
Dry friction
dc.title.none.fl_str_mv Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer
dc.type.none.fl_str_mv Peer-Reviewed
Published version
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description This paper proposes a friction model parameter identification routine that can work with highly nonlinear and chaotic systems. The chosen system for this study is a passively-actuated tilted Furuta pendulum, which is known to have a highly nonlinear and coupled model. The pendulum is tilted to ensure the existence of a stable equilibrium configuration for all its degrees of freedom, and the link weights are the only external forces applied to the system. A nonlinear analytical model of the pendulum is derived, and a continuous friction model considering static friction, dynamic friction, viscous friction, and the stribeck effect is selected from the literature. A high-gain Universal Adaptive Stabilizer (UAS) observer is designed to identify friction model parameters using joint angle measurements. The methodology is tested in simulation and validated on an experimental setup. Despite the high nonlinearity of the system, the methodology is proven to converge to the exact parameter values, in simulation, and to yield qualitative parameter magnitudes in experiments where the goodness of fit was around 85% on average. The discrepancy between the simulation and the experimental results is attributed to the limitations of the friction model. The main advantage of the proposed method is the significant reduction in computational needs and the time required relative to conventional optimization-based identification routines. The proposed approach yielded more than 99% reduction in the estimation time while being considerably more accurate than the optimization approach in every test performed. One more advantage is that the approach can be easily adapted to fit other models to experimental data.
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identifier_str_mv A. Wadi, S. Mukhopadhyay and L. Romdhane, "Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer," in IEEE Access, vol. 10, pp. 39177-39192, 2022, doi: 10.1109/ACCESS.2022.3165081.
2169-3536
10.1109/ACCESS.2022.3165081
language_invalid_str_mv en_US
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oai_identifier_str oai:repository.aus.edu:11073/23583
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spelling Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive StabilizerWadi, AliMukhopadhyay, ShayokRomdhane, LotfiFuruta pendulumRotary inverted pendulumParameter identificationUniversal adaptive stabilizerViscous frictionDry frictionThis paper proposes a friction model parameter identification routine that can work with highly nonlinear and chaotic systems. The chosen system for this study is a passively-actuated tilted Furuta pendulum, which is known to have a highly nonlinear and coupled model. The pendulum is tilted to ensure the existence of a stable equilibrium configuration for all its degrees of freedom, and the link weights are the only external forces applied to the system. A nonlinear analytical model of the pendulum is derived, and a continuous friction model considering static friction, dynamic friction, viscous friction, and the stribeck effect is selected from the literature. A high-gain Universal Adaptive Stabilizer (UAS) observer is designed to identify friction model parameters using joint angle measurements. The methodology is tested in simulation and validated on an experimental setup. Despite the high nonlinearity of the system, the methodology is proven to converge to the exact parameter values, in simulation, and to yield qualitative parameter magnitudes in experiments where the goodness of fit was around 85% on average. The discrepancy between the simulation and the experimental results is attributed to the limitations of the friction model. The main advantage of the proposed method is the significant reduction in computational needs and the time required relative to conventional optimization-based identification routines. The proposed approach yielded more than 99% reduction in the estimation time while being considerably more accurate than the optimization approach in every test performed. One more advantage is that the approach can be easily adapted to fit other models to experimental data.American University of SharjahIEEE2022-04-26T07:51:46Z2022-04-26T07:51:46Z2022-04Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfA. Wadi, S. Mukhopadhyay and L. Romdhane, "Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer," in IEEE Access, vol. 10, pp. 39177-39192, 2022, doi: 10.1109/ACCESS.2022.3165081.2169-3536http://hdl.handle.net/11073/2358310.1109/ACCESS.2022.3165081en_UShttps://doi.org/10.1109/ACCESS.2022.3165081oai:repository.aus.edu:11073/235832024-08-22T12:09:02Z
spellingShingle Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer
Wadi, Ali
Furuta pendulum
Rotary inverted pendulum
Parameter identification
Universal adaptive stabilizer
Viscous friction
Dry friction
status_str publishedVersion
title Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer
title_full Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer
title_fullStr Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer
title_full_unstemmed Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer
title_short Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer
title_sort Identifying Friction in a Nonlinear Chaotic System Using a Universal Adaptive Stabilizer
topic Furuta pendulum
Rotary inverted pendulum
Parameter identification
Universal adaptive stabilizer
Viscous friction
Dry friction
url http://hdl.handle.net/11073/23583