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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...

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Detalles Bibliográficos
Autores principales: Matušů, Radek, Şenol, Bilal, Yeroğlu, Celaleddin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2017
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.
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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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