Analytical formulation to compute QFT bounds: the envelope method
- Martín-Romero, J.J. 2
- Gil-Martínez, M. 3
- García-Sanz, M. 1
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1
Universidad Pública de Navarra
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- 2 Department of Electrical and Electronic Engineering, IES Manuel Bartolomé Cossío, 26200 Haro, Spain
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3
Universidad de La Rioja
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ISSN: 1049-8923
Ano de publicación: 2009
Volume: 19
Número: 17
Páxinas: 1959-1971
Tipo: Artigo
beta Ver similares en nube de resultadosOutras publicacións en: International Journal of Robust and Nonlinear Control
Resumo
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.