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Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity

D. Lisitano, Shakir Jiffri Orcid Logo, E. Bonisoli, J.E. Mottershead

Journal of Sound and Vibration, Volume: 416, Pages: 192 - 212

Swansea University Author: Shakir Jiffri Orcid Logo

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Abstract

Input-output partial feedback linearisation is demonstrated experimentally for the first time on a system with non-smooth nonlinearity, a laboratory three degrees of freedom lumped mass system with a piecewise-linear spring. The output degree of freedom is located away from the nonlinearity so that...

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Published in: Journal of Sound and Vibration
ISSN: 0022-460X
Published: Elsevier BV 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa39599
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first_indexed 2018-04-27T19:32:21Z
last_indexed 2020-10-22T02:51:45Z
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spelling 2020-10-21T15:11:00.5729852 v2 39599 2018-04-27 Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity 1d7a7d2a8f10ec98afed15a4b4b791c4 0000-0002-5570-5783 Shakir Jiffri Shakir Jiffri true false 2018-04-27 AERO Input-output partial feedback linearisation is demonstrated experimentally for the first time on a system with non-smooth nonlinearity, a laboratory three degrees of freedom lumped mass system with a piecewise-linear spring. The output degree of freedom is located away from the nonlinearity so that the partial feedback linearisation possesses nonlinear internal dynamics. The dynamic behaviour of the linearised part is specified by eigenvalue assignment and an investigation of the zero dynamics is carried out to confirm stability of the overall system. A tuned numerical model is developed for use in the controller and to produce numerical outputs for comparison with experimental closedloop results. A new limitation of the feedback linearisation method is discovered in the case of lumped mass systems e that the input and output must share the same degrees of freedom. Journal Article Journal of Sound and Vibration 416 192 212 Elsevier BV 0022-460X Non-smooth systems, Active control, Feedback linearisation 3 3 2018 2018-03-03 10.1016/j.jsv.2017.11.047 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2020-10-21T15:11:00.5729852 2018-04-27T14:38:39.5166252 D. Lisitano 1 Shakir Jiffri 0000-0002-5570-5783 2 E. Bonisoli 3 J.E. Mottershead 4 0039599-09052018144553.pdf lisitano2018(2).pdf 2018-05-09T14:45:53.9570000 Output 6888731 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution License (CC-BY). true eng http://creativecommons.org/licenses/by/4.0/
title Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity
spellingShingle Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity
Shakir Jiffri
title_short Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity
title_full Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity
title_fullStr Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity
title_full_unstemmed Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity
title_sort Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity
author_id_str_mv 1d7a7d2a8f10ec98afed15a4b4b791c4
author_id_fullname_str_mv 1d7a7d2a8f10ec98afed15a4b4b791c4_***_Shakir Jiffri
author Shakir Jiffri
author2 D. Lisitano
Shakir Jiffri
E. Bonisoli
J.E. Mottershead
format Journal article
container_title Journal of Sound and Vibration
container_volume 416
container_start_page 192
publishDate 2018
institution Swansea University
issn 0022-460X
doi_str_mv 10.1016/j.jsv.2017.11.047
publisher Elsevier BV
document_store_str 1
active_str 0
description Input-output partial feedback linearisation is demonstrated experimentally for the first time on a system with non-smooth nonlinearity, a laboratory three degrees of freedom lumped mass system with a piecewise-linear spring. The output degree of freedom is located away from the nonlinearity so that the partial feedback linearisation possesses nonlinear internal dynamics. The dynamic behaviour of the linearised part is specified by eigenvalue assignment and an investigation of the zero dynamics is carried out to confirm stability of the overall system. A tuned numerical model is developed for use in the controller and to produce numerical outputs for comparison with experimental closedloop results. A new limitation of the feedback linearisation method is discovered in the case of lumped mass systems e that the input and output must share the same degrees of freedom.
published_date 2018-03-03T03:53:44Z
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score 10.898123