Nonlinear Systems and the Frequency Domain Representations

Abstract

AbstractThe state of the arts of the current frequency domain analysis and design approaches is reviewed in this chapter. The concept of the Generalized Frequency Response Functions (GFRFs), the Nonlinear Output Frequency Response Functions (NOFRFs), and the Output Frequency Response Function (OFRF) are introduced based on both the continuous time NDE model and the discrete time NARX model or the NARX Model with parameters of interest for Design (NARX-M-for-D). These concepts and related methods and technologies are the foundations of the analysis and design of nonlinear systems, as well as the development of the novel approaches in this thesis.