Adaptive precompensation of Wiener systems

Abstract

This article presents an adaptive precompensation technique for the Wiener system: a class of nonlinear systems that can be represented by the interconnection of a linear dynamic subsystem and a memoryless nonlinear subsystem. An adaptive algorithm for adjusting the parameters of the precompensator, structured by a Hammerstein model, is derived using the stochastic gradient method. The validity of the proposed algorithm is confirmed in a computer simulation by applying it to known Wiener systems.