Rational basis functions for robust identification from frequency and time-domain measurements

Title: Rational basis functions for robust identification from frequency and time-domain measurements
Creator: Akcay, Huseyin; Ninness, Brett
Relation: Automatica Vol. 34, Issue 9, p. 1101-1117
Publisher Link: http://dx.doi.org/10.1016/S0005-1098(98)00052-1
Publisher: Elsevier
Resource Type: journal article
Date: 1998
Description: This paper investigates the use of general bases with fixed poles for the purposes of robust estimation. These bases, which generalise the common FIR, Laguerre and two--parameter Kautz ones, are shown to be fundamental in the disc algebra provided a very mild condition on the choice of poles is satisfied. It is also shown, that by using a min--max criterion, these bases lead to robust estimators for which error bounds in different norms can be explicitly quantified. The key idea facilitating this analysis is to re--parameterise the model structures into new ones with equivalent fixed poles, but for which the basis functions are orthonormal in H₂(D).
Subject: identification; estimation; worst-case analysis; error analysis; robustness
Identifier: http://hdl.handle.net/1959.13/30301
Identifier: uon:2669
Identifier: ISSN:0005-1098
Language: eng
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