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
Descripción
Sumario: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.