An integrating linearization method for Hammerstein models

This paper considers a method for linearization of models containing static input nonlinearities in series with a linear model, so called Hammerstein models. The method linearizes the system exactly, and is performed by differentiating the nonlinearity with respect to the input signal. Using this approach, an integration is added in the loop gain of the linearized system via the internal feedback. The method presented here is in essential senses an equivalent alternative to the standard method that utilizes the inverse of the static nonlinearity complemented with an integration. Particularly, in cases when analytic inversion is difficult, the presented method provides an attractive alternative.