Initial estimates for the dynamics of a Hammerstein system |
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| Authors: | J Schoukens WD Widanage R Pintelon |
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| Affiliation: | a Department ELEC, Vrije Universiteit Brussel, Pleinlaan 2, B1050 Brussels, Belgium
b School of Engineering, University of Warwick, Coventry CV4 7AL, UK |
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| Abstract: | This paper studies the generation of initial estimates for the dynamic part of a Hammerstein model. It will be shown that ARMAX or Box-Jenkins models result in better initial estimates than ARX or output-error (OE) models even in the absence of disturbing noise. This will be proven by noticing that a static nonlinear system can be replaced by a static gain plus a nonlinear noise source that acts in a completely similar way to disturbing noise for the study of the second-order properties of the estimators in the prediction error framework. |
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| Keywords: | Hammerstein systems Initial estimates ARMAX Box-Jenkins |
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