State space realization for two degree of control problem

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I have plant model of the type shown below
The augmented system P consisting of G, Gd, W1, W2, Wd with inputs is shown below
The state function can be represented as
and
Now my question is how to extract the matrices Bw1, Bw2, etc.. from the augmented matrix P.
I am using the command augw(G*, W1,W2, WD) where G*=[G Gd]
Regards

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