5 Polynomial Hammerstein models

Abstract

In this chapter, we will review seven methods of the identification of Hammerstein systems which use Hammerstein models with a polynomial model of the nonlinear element. The reviewed methods use models of the linear dynamic system in the form of pulse transfer models [21, 27, 34, 63, 120, 161], or a Laguerre expansion of the impulse response [156]. Wiener system parameters are estimated with different procedures such as the ordinary least squares [27], iterative least squares [63, 120, 161], iterative correlation and steepest descent [156], prediction error [34], and pseudolinear regression [21] methods.