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Feedback linearisation in systems with nonsmooth nonlinearities

Shakir Jiffri Orcid Logo, Paolo Paoletti, John Mottershead

Journal of Guidance, Control and Dynamics, Volume: 39, Issue: 4, Pages: 814 - 825

Swansea University Author: Shakir Jiffri Orcid Logo

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DOI (Published version): 10.2514/1.g001220

Abstract

This paper aims to elucidate the application of feedback linearization in systems having nonsmooth nonlinearities. With the aid of analytical expressions originating from classical feedback linearization theory, it is demonstrated that for a subset of nonsmooth systems, ubiquitous in the structural...

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Published in: Journal of Guidance, Control and Dynamics
ISSN: 0731-5090
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa36833
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first_indexed 2017-11-20T14:26:06Z
last_indexed 2018-09-18T18:43:27Z
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spelling 2018-09-18T15:38:15.3662457 v2 36833 2017-11-20 Feedback linearisation in systems with nonsmooth nonlinearities 1d7a7d2a8f10ec98afed15a4b4b791c4 0000-0002-5570-5783 Shakir Jiffri Shakir Jiffri true false 2017-11-20 AERO This paper aims to elucidate the application of feedback linearization in systems having nonsmooth nonlinearities. With the aid of analytical expressions originating from classical feedback linearization theory, it is demonstrated that for a subset of nonsmooth systems, ubiquitous in the structural dynamics and vibrations community, the theory holds soundly. Numerical simulations on a three-degree-of-freedom aeroservoelastic system are carried out to illustrate the application of feedback linearization for a specific control objective, in the presence of dead-zone and piecewise linear structural nonlinearities in the plant. An in-depth study of the arising zero dynamics, based on a combination of analytical formulations and numerical simulations, reveals that asymptotically stable equilibria exist, paving the way for the application of feedback linearization. The latter is demonstrated successfully through pole placement on the linearized system. Journal Article Journal of Guidance, Control and Dynamics 39 4 814 825 0731-5090 31 12 2016 2016-12-31 10.2514/1.g001220 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2018-09-18T15:38:15.3662457 2017-11-20T11:15:33.4368992 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Shakir Jiffri 0000-0002-5570-5783 1 Paolo Paoletti 2 John Mottershead 3
title Feedback linearisation in systems with nonsmooth nonlinearities
spellingShingle Feedback linearisation in systems with nonsmooth nonlinearities
Shakir Jiffri
title_short Feedback linearisation in systems with nonsmooth nonlinearities
title_full Feedback linearisation in systems with nonsmooth nonlinearities
title_fullStr Feedback linearisation in systems with nonsmooth nonlinearities
title_full_unstemmed Feedback linearisation in systems with nonsmooth nonlinearities
title_sort Feedback linearisation in systems with nonsmooth nonlinearities
author_id_str_mv 1d7a7d2a8f10ec98afed15a4b4b791c4
author_id_fullname_str_mv 1d7a7d2a8f10ec98afed15a4b4b791c4_***_Shakir Jiffri
author Shakir Jiffri
author2 Shakir Jiffri
Paolo Paoletti
John Mottershead
format Journal article
container_title Journal of Guidance, Control and Dynamics
container_volume 39
container_issue 4
container_start_page 814
publishDate 2016
institution Swansea University
issn 0731-5090
doi_str_mv 10.2514/1.g001220
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str 0
active_str 0
description This paper aims to elucidate the application of feedback linearization in systems having nonsmooth nonlinearities. With the aid of analytical expressions originating from classical feedback linearization theory, it is demonstrated that for a subset of nonsmooth systems, ubiquitous in the structural dynamics and vibrations community, the theory holds soundly. Numerical simulations on a three-degree-of-freedom aeroservoelastic system are carried out to illustrate the application of feedback linearization for a specific control objective, in the presence of dead-zone and piecewise linear structural nonlinearities in the plant. An in-depth study of the arising zero dynamics, based on a combination of analytical formulations and numerical simulations, reveals that asymptotically stable equilibria exist, paving the way for the application of feedback linearization. The latter is demonstrated successfully through pole placement on the linearized system.
published_date 2016-12-31T03:46:12Z
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score 11.013148

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