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An iterative method for the identification of nonlinear systems using a Hammerstein model

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2 Author(s)
Narendra, K.S. ; Yale University, New Haven, CT, USA ; Gallman, P.

An iterative method is proposed for the identification of nonlinear systems from samples of inputs and outputs in the presence of noise. The model used for the identification consists of a no-memory gain (of an assumed polynomial form) followed by a linear discrete system. The parameters of the pulse transfer function of the linear system and the coefficients of the polynomial non-linearity are alternately adjusted to minimize a mean square error criterion. Digital computer simulations are included to demonstrate the feasibility of the technique.

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Automatic Control, IEEE Transactions on  (Volume:11 ,  Issue: 3 )