Journal ArticleDOI
Linear modeling in the presence of nonlinear distortions
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TLDR
This paper sets up a framework to deal with nonlinear distortions in a linear modeling framework that is replaced by a linear system plus a noise source and a measurement technique to extract the linear model and the noise variance.Abstract:
In this paper, we set up a framework to deal with nonlinear distortions in a linear modeling framework. The nonlinear system is replaced by a linear system plus a noise source. The properties of this representation are given and a measurement technique to extract the linear model and the noise variance is developed. Eventually, the different aspects of this approach are discussed from a measurement, an identification and a design point of view.read more
Citations
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Journal ArticleDOI
Identification of linear systems with nonlinear distortions
TL;DR: In this article, the impact of nonlinear distortions on linear system identification was studied and a theoretical framework was proposed that extends the linear system description to include nonlinear distortion: the nonlinear system is replaced by a linear model plus a nonlinear noise source.
Linear models of nonlinear systems
TL;DR: In this thesis, it is described how robust control design of some nonlinear systems can be performed based on a discrete-time linear model and a model error model valid only for bounded inputs.
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
Electrochemical impedance spectroscopy in the presence of non-linear distortions and non-stationary behaviour
E. Van Gheem,Rik Pintelon,A. Hubin,Joannes Schoukens,Peter Verboven,Orlin Blajiev,Jean Vereecken +6 more
Journal ArticleDOI
Identification of Linear Systems with Nonlinear Distortions
TL;DR: In this paper, the impact of nonlinear distortions on the linear system identification framework is studied and a fast approximate nonlinear modelling framework is set up that is a natural extension of the linear framework, and bridges the gap between the linear and the nonlinear identification approaches.
References
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Book
System Identification: Theory for the User
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
System Identification: A Frequency Domain Approach
Rik Pintelon,Joannes Schoukens +1 more
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.
Book
Random vibration and statistical linearization
J.B. Roberts,Pol D. Spanos +1 more
TL;DR: In this paper, a comprehensive account of statistical linearization with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems is given, and the principal value of these methods is that they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.