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Journal ArticleDOI

A comparative overview of frequency domain methods for nonlinear systems

TLDR
This paper provides a comparative overview of four classes of frequency domain methods for nonlinear systems: Volterra based models, nonlinear frequency response functions / Bode plots, describing functions and linear approximations in the presence of nonlinearities.
About
This article is published in Mechatronics.The article was published on 2017-04-01. It has received 26 citations till now. The article focuses on the topics: Split-step method & Frequency domain.

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Citations
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Identification of Linear Systems with Nonlinear Distortions

TL;DR: A theoretical framework is proposed that extends the linear system description to include the impact of nonlinear distortions: the nonlinear system is replaced by a linear model plus a 'nonlinear noise source'.
Journal ArticleDOI

The analysis of nonlinear systems in the frequency domain using Nonlinear Output Frequency Response Functions

TL;DR: The present study introduces a NOFRFs based approach for the analysis of nonlinear systems in the frequency domain by solving a set of linear difference equations known as the Associated Linear Equations (ALEs) to determine the system nonlinear output responses.
Journal ArticleDOI

Development and in-situ application of a real-time monitoring system for the interaction between TBM and surrounding rock

TL;DR: In this paper, a real-time monitoring system for the interaction between tunnel boring machines and surrounding rock is developed, in which the focus is on the cutter-head vibration, and the interactions between the surrounding rock and the shield.
Journal ArticleDOI

The effects of linear and nonlinear characteristic parameters on the output frequency responses of nonlinear systems: The associated output frequency response function

TL;DR: It is shown, for the first time, that the output frequency responses of a wide class of nonlinear systems that are described by the NARX (Nonlinear Auto Regressive with eXogenous input) model can be represented by a polynomial function of both the system linear and nonlinear characteristic parameters of interests to the system analysis.
Journal ArticleDOI

Nonlinear output frequency response functions: A new evaluation approach and applications to railway and manufacturing systems’ condition monitoring

TL;DR: Two experimental studies including monitoring fatigue damage of train wheels and inspecting wearing conditions of cutting tools, respectively, demonstrate the significance and potential applications of the new GALEs based NOFRFs evaluation in railway and manufacturing systems’ condition monitoring.
References
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Book

System Identification: Theory for the User

Lennart Ljung
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Book

Robust and Optimal Control

TL;DR: This paper reviewed the history of the relationship between robust control and optimal control and H-infinity theory and concluded that robust control has become thoroughly mainstream, and robust control methods permeate robust control theory.
Journal Article

Robust and Optimal Control

Kemin Zhou, +2 more
- 01 Jan 1997 - 
Book

System Identification: A Frequency Domain Approach

TL;DR: Focusing mainly on frequency domain techniques, System Identification: A Frequency Domain Approach, Second Edition also studies in detail the similarities and differences with the classical time domain approach.
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