This paper deals with the frequency domain properties of an ellipsoidal family of rational functions, i.e. a family of rational functions whose coefficients depend affinely on an ellipsoidal parameter set. The considered problems are relevant to several recently developed techniques in the identification-for-control research area. A complete characterization of the frequency plots of such a family is provided and an efficient algorithm for computing the envelope of the Bode plots is devised. In particular, it is shown that the extremal values of the magnitude and phase of the family frequencyresponse, which in general involve non-convex optimization problems, can be computed via a sequence of simple algebraic tests.
Chesi, G., Garulli, A., Tesi, A., Vicino, A. (2002). A convex approach to the characterization of the frequency response of ellipsoidal plants. AUTOMATICA, 38(2), 249-259 [10.1016/S0005-1098(01)00196-0].
A convex approach to the characterization of the frequency response of ellipsoidal plants
GARULLI, ANDREA;VICINO, ANTONIO
2002-01-01
Abstract
This paper deals with the frequency domain properties of an ellipsoidal family of rational functions, i.e. a family of rational functions whose coefficients depend affinely on an ellipsoidal parameter set. The considered problems are relevant to several recently developed techniques in the identification-for-control research area. A complete characterization of the frequency plots of such a family is provided and an efficient algorithm for computing the envelope of the Bode plots is devised. In particular, it is shown that the extremal values of the magnitude and phase of the family frequencyresponse, which in general involve non-convex optimization problems, can be computed via a sequence of simple algebraic tests.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/26902
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo