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Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis
This article deals with continuous-time Linear Time-Invariant (LTI) Single-Input Single-Output (SISO) systems affected by unstructured multiplicative uncertainty. More specifically, its aim is to present an approach to the construction of uncertain models based on the appropriate selection of a nomi...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5507551/ https://www.ncbi.nlm.nih.gov/pubmed/28704471 http://dx.doi.org/10.1371/journal.pone.0181078 |
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author | Matušů, Radek Şenol, Bilal Yeroğlu, Celaleddin |
author_facet | Matušů, Radek Şenol, Bilal Yeroğlu, Celaleddin |
author_sort | Matušů, Radek |
collection | PubMed |
description | This article deals with continuous-time Linear Time-Invariant (LTI) Single-Input Single-Output (SISO) systems affected by unstructured multiplicative uncertainty. More specifically, its aim is to present an approach to the construction of uncertain models based on the appropriate selection of a nominal system and a weight function and to apply the fundamentals of robust stability investigation for considered sort of systems. The initial theoretical parts are followed by three extensive illustrative examples in which the first order time-delay, second order and third order plants with parametric uncertainty are modeled as systems with unstructured multiplicative uncertainty and subsequently, the robust stability of selected feedback loops containing constructed models and chosen controllers is analyzed and obtained results are discussed. |
format | Online Article Text |
id | pubmed-5507551 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-55075512017-07-25 Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis Matušů, Radek Şenol, Bilal Yeroğlu, Celaleddin PLoS One Research Article This article deals with continuous-time Linear Time-Invariant (LTI) Single-Input Single-Output (SISO) systems affected by unstructured multiplicative uncertainty. More specifically, its aim is to present an approach to the construction of uncertain models based on the appropriate selection of a nominal system and a weight function and to apply the fundamentals of robust stability investigation for considered sort of systems. The initial theoretical parts are followed by three extensive illustrative examples in which the first order time-delay, second order and third order plants with parametric uncertainty are modeled as systems with unstructured multiplicative uncertainty and subsequently, the robust stability of selected feedback loops containing constructed models and chosen controllers is analyzed and obtained results are discussed. Public Library of Science 2017-07-12 /pmc/articles/PMC5507551/ /pubmed/28704471 http://dx.doi.org/10.1371/journal.pone.0181078 Text en © 2017 Matušů et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Matušů, Radek Şenol, Bilal Yeroğlu, Celaleddin Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis |
title | Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis |
title_full | Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis |
title_fullStr | Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis |
title_full_unstemmed | Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis |
title_short | Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis |
title_sort | linear systems with unstructured multiplicative uncertainty: modeling and robust stability analysis |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5507551/ https://www.ncbi.nlm.nih.gov/pubmed/28704471 http://dx.doi.org/10.1371/journal.pone.0181078 |
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