Problem using Hammerstein-Wiener model estimation.

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Harshit Gole
Harshit Gole 2012-4-16
I am working with magnetic levitation system and for the model matching I used identification toolbox. In that toolbox I found Hammerstein-Weiner model to identify i/p-o/p non linearities. I used that this model but I still have doubt about the final transfer function I got. So please tell me steps to find a transfer function which is associated with the i/p-o/p non-linearity according to the Hammerstein-Weiner model.

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Rajiv Singh
Rajiv Singh 2012-4-16
The Hammerstein-Wiener model (idnlhw) contains the linear model as its component. See the "LinearModel" property of the idnlhw object. Or, use the getlinmod method, as in LM = getlinmod(idnlhw_model);
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Harshit Gole
Harshit Gole 2012-4-18
Then, how to find the function defining input and output non-linearities?
Because we are trying to find out the non-linear model which exactly defines our real time system.
Rajiv Singh
Rajiv Singh 2012-4-23
For equations, you must refer to the documentation. In particular, see:
http://www.mathworks.com/help/toolbox/ident/ug/bq2ix15.html
It isn't that complicated. You basically have your input signal modified by a memory-free nonlinear function: w = f(u). The signal w is then used as input to a dynamic linear transfer function B/F whose output is x; x = filter(B,F,w) if you don't worry about initial conditions. Finally the output of the linear block is again modified by a memory-free nonlinear function to produce the final output: y = h(x). If you think of the linear function as an operator L, you have y = h(L(f(u)).

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