Identification of nonlinear systems having discontinuous nonlinearity

Abstract

This paper deals with the identification of nonlinear systems. Presently, the nonlinear system is described by the Wiener model. The linear element is non-parametric and may be of unknown structure. The nonlinear part is allowed to be discontinuous or of hard type and non-invertible. A two-stage identification method is developed to get a set of points of the nonlinear part and estimates of the linear dynamic element. This method is based on simple geometric analysis and involves easily generated excitation signals.