Spectral Analysis for Nonlinear Systems. Part 1: Parametric Nonlinear Spectral Analysis

摘要

A methodology for identifying the generalized frequency response functions of a wide class of nonlinear system is presented. The method consists of estimating the parameters in a NARMAX model description of the system and then computing the generalized frequency response functions directly from the estimated model. Although the derivation of the algorithms often involves complex mathematics the final procedures that are implemented are particularly simple, and are both easy to use and interpret. While other more sophisticated algorithms were developed to provide alternative solutions to the problems posed, the combination of the orthogonal estimator and the probing algorithm provides a powerful toolkit for the analysis of nonlinear systems in the frequency domain. The methods are upwardly extendable to multi-input multi-output systems.