- 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
- Full Text
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