Analytical formulation to compute QFT bounds: the envelope method

This paper describes an analytical formulation to compute quantitative feedback theory (QFT) bounds in one-degree-offreedom feedback control problems. The new approach is based on envelope curves and shows that a QFT control specification can be expressed as a family of circumferences. Then, the con...

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Detalles Bibliográficos
Autores: Martín-Romero, J.J., Gil-Martínez, M. [0000-0002-6547-5301], García-Sanz, M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6911b750603269e8148e
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6911b750603269e8148e
Access Level:acceso abierto
Palabra clave:Quantitative feedback theory (QFT)
Robust control
Uncertain systems
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spelling Analytical formulation to compute QFT bounds: the envelope methodMartín-Romero, J.J.Gil-Martínez, M. [0000-0002-6547-5301]García-Sanz, M.Quantitative feedback theory (QFT)Robust controlUncertain systemsThis paper describes an analytical formulation to compute quantitative feedback theory (QFT) bounds in one-degree-offreedom feedback control problems. The new approach is based on envelope curves and shows that a QFT control specification can be expressed as a family of circumferences. Then, the controller bound is defined by the envelope curve of this family and can be obtained as an analytical function. This offers the possibility of studying the QFT bounds in an analytical way with several useful properties. Gridding methods are avoided, resulting in a lower computational effort procedure. The new formulation improves the accuracy of previous methods and allows the designer to calculate multivalued bounds. © 2008 John Wiley & Sons, Ltd.2009info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6911b750603269e8148ereponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1002/RNC.1424info:eu-repo/semantics/altIdentifier/wos/WOS:000271964300007info:eu-repo/semantics/altIdentifier/pissn/1049-8923Analytical formulation to compute QFT bounds: the envelope method, 2009, vol. 19, núm. 17, pág. 1959-1971info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6911b750603269e8148e2026-06-14T12:47:17Z
dc.title.none.fl_str_mv Analytical formulation to compute QFT bounds: the envelope method
title Analytical formulation to compute QFT bounds: the envelope method
spellingShingle Analytical formulation to compute QFT bounds: the envelope method
Martín-Romero, J.J.
Quantitative feedback theory (QFT)
Robust control
Uncertain systems
title_short Analytical formulation to compute QFT bounds: the envelope method
title_full Analytical formulation to compute QFT bounds: the envelope method
title_fullStr Analytical formulation to compute QFT bounds: the envelope method
title_full_unstemmed Analytical formulation to compute QFT bounds: the envelope method
title_sort Analytical formulation to compute QFT bounds: the envelope method
dc.creator.none.fl_str_mv Martín-Romero, J.J.
Gil-Martínez, M. [0000-0002-6547-5301]
García-Sanz, M.
author Martín-Romero, J.J.
author_facet Martín-Romero, J.J.
Gil-Martínez, M. [0000-0002-6547-5301]
García-Sanz, M.
author_role author
author2 Gil-Martínez, M. [0000-0002-6547-5301]
García-Sanz, M.
author2_role author
author
dc.subject.none.fl_str_mv Quantitative feedback theory (QFT)
Robust control
Uncertain systems
topic Quantitative feedback theory (QFT)
Robust control
Uncertain systems
description This paper describes an analytical formulation to compute quantitative feedback theory (QFT) bounds in one-degree-offreedom feedback control problems. The new approach is based on envelope curves and shows that a QFT control specification can be expressed as a family of circumferences. Then, the controller bound is defined by the envelope curve of this family and can be obtained as an analytical function. This offers the possibility of studying the QFT bounds in an analytical way with several useful properties. Gridding methods are avoided, resulting in a lower computational effort procedure. The new formulation improves the accuracy of previous methods and allows the designer to calculate multivalued bounds. © 2008 John Wiley & Sons, Ltd.
publishDate 2009
dc.date.none.fl_str_mv 2009
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Subtype: Article
info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc6911b750603269e8148e
url https://investigacion.unirioja.es/documentos/5bbc6911b750603269e8148e
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/RNC.1424
info:eu-repo/semantics/altIdentifier/wos/WOS:000271964300007
info:eu-repo/semantics/altIdentifier/pissn/1049-8923
Analytical formulation to compute QFT bounds: the envelope method, 2009, vol. 19, núm. 17, pág. 1959-1971
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
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