http://nova.newcastle.edu.au/vital/access/services/Feed ${session.getAttribute("locale")} 5 Estimation of generalised Hammerstein-Wiener systems http://nova.newcastle.edu.au/vital/access/manager/Repository/uon:8947 This paper examines the use of a so-called "generalised Hammerstein-Wiener" model structure that is formed as the concatenation of an arbitrary number of Hammerstein systems. The latter are taken here to be memoryless non-linearities followed by linear time invariant dynamics. Hammerstein, Wiener, Hammerstein-Wiener and Wiener-Hammerstein models are all special cases of this structure. The parameter estimation of this model is investigated by using a standard prediction error criterion coupled with a robust gradient based search algorithm. This approach is profiled using the Wiener-Hammerstein system benchmark data, which illustrates it to be effective and, via Monte-Carlo simulation, relatively robust against capture in local minima. 2011-09-14T06:00:06.525Z ]]> Quantifying the accuracy of Hammerstein model estimation http://nova.newcastle.edu.au/vital/access/manager/Repository/uon:859 This paper investigates the accuracy of the linear component that forms part of an overall Hammerstein model-structure estimate, and a key finding is that the process of estimating the non-linear element can have a strong effect on the associated estimate of the linear dynamics. Furthermore, this effect is not explained simply by way of considering how the input spectrum is changed by the non-linearity. Instead, it arises that the linear model-estimate variability may be dominated by a term that depends on the frequency response of the linear system itself. Amongst other things, the main results derived here have experiment design implications for Hammerstein system estimation. 2010-04-27T06:21:49.344Z ]]>