Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/43489
- Title
- Maximum likelihood identification of Wiener models
- Author/Creator
-
Hagenblad, Anna;
Ljung, Lennart;
Wills, Adrian
- Institution
- The University of Newcastle. Faculty of Engineering & Built Environment, School of Electrical Engineering and Computer Science
- Description
- The Wiener model is a block oriented model, having a linear dynamic system followed by a static nonlinearity. The dominating approach to estimate the components of this model has been to minimize the error between the simulated and the measured outputs. We show that this will, in general, lead to biased estimates if there are other disturbances present than measurement noise. The implications of Bussgang’s theorem in this context are also discussed. For the case with general disturbances, we derive the Maximum Likelihood method and show how it can be efficiently implemented. Comparisons between this new algorithm and the traditional approach, confirm that the new method is unbiased and also has superior accuracy.
- Relation
- Automatica Vol. 44, Issue 11, p. 2697-2705
- Publisher Link
- http://dx.doi.org/10.1016/j.automatica.2008.02.016
- Date
- 2008
- Publisher
- Elsevier
- Keyword(s)
-
system identification;
nonlinearities;
Wiener model;
maximum likelihood;
prediction error method
- Resource Type
- journal article
- Identifier
- http://hdl.handle.net/1959.13/43489
- Identifier
- ISSN:0005-1098
- Reviewed
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