Journal ArticleDOI
Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses
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TLDR
In this paper, an extension to higher-order describing functions is realized by introducing the concept of the harmonics generator, which relates the magnitude and phase of the higher harmonics of the periodic response of the system to the magnitude of a sinusoidal excitation.About:
This article is published in Mechanical Systems and Signal Processing.The article was published on 2006-11-01. It has received 100 citations till now. The article focuses on the topics: Describing function & Harmonic (mathematics).read more
Citations
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Journal ArticleDOI
Linear System Identification in a Nonlinear Setting: Nonparametric Analysis of the Nonlinear Distortions and Their Impact on the Best Linear Approximation
TL;DR: In this paper, a linear dynamic time-invariant model is identified to describe the relationship between the reference signal and the output of the system, and the power spectrum of the unmodeled disturbances are identified to generate uncertainty bounds on the estimated model.
Journal ArticleDOI
Frequency domain analysis of a dimensionless cubic nonlinear damping system subject to harmonic input
Xingjian Jing,Zi-Qiang Lang +1 more
TL;DR: In this article, the effects of cubic nonlinear damping on the system output spectrum are theoretically studied through a dimensionless mass-spring damping system model subject to a harmonic input, based on the Volterra series approximation.
Journal ArticleDOI
Linear System Identification in a Nonlinear Setting - Nonparametric analysis of the nonlinear distortions and their impact on the best linear approximation
TL;DR: A linear dynamic time-invariant model is identified to describe the relationship between the reference signal and the output of the system and the power spectrum of the unmodeled disturbances are identified to generate uncertainty bounds on the estimated model.
Journal ArticleDOI
Frequency domain based nonlinear feed forward control design for friction compensation
DJ David Rijlaarsdam,DJ David Rijlaarsdam,P.W.J.M. Nuij,Joannes Schoukens,M Maarten Steinbuch +4 more
TL;DR: In this paper, a frequency domain based method for controller design for nonlinear systems is presented, which is applied to optimally design a feed forward friction compensator for an industrial motion stage in a transmission electron microscope.
Journal ArticleDOI
Nonlinear influence in the frequency domain: Alternating series
TL;DR: A novel frequency-domain insight is revealed into the nonlinear influence on a system, and a new method is provided for the analysis and design of nonlinear systems in the frequency domain.
References
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Journal ArticleDOI
Parametric and nonparametric identification of linear systems in the presence of nonlinear distortions-a frequency domain approach
TL;DR: A related linear dynamic system (RLDS) approximation to the nonlinear system (NLS) is defined, and it is shown that the differences between the NLS and the RLDS can be modeled as stochastic variables with known properties.
Journal ArticleDOI
Measuring Volterra kernels
TL;DR: In this paper, the authors introduce a pseudonoise test for measuring the second Volterra kernel of a weakly nonlinear system, which is analogous to the one we present in this paper.
Journal ArticleDOI
Frequency domain analysis of nonlinear systems: general theory
Leon O. Chua,C.-Y. Ng +1 more
TL;DR: In this article, a unified study of the applications of Volterra functional series to nonlinear-system analysis is presented with special emphasis on frequency-domain results which either have not been published before, or where rigour had been lacking.
Journal ArticleDOI
Frequency domain identification of dynamic friction model parameters
TL;DR: Time domain validation experiments on a servomechanism show accurate estimates of the dynamic model parameters for the linearized presliding behavior.
Journal ArticleDOI
A Simple Method for Sampling In-Phase and Quadrature Components
TL;DR: A method of developing in-phase and quadrature samples of a band-limited RF waveform is presented, realized as a pair of 900 phase splitting networks with several symmetries which are exploited to save computation.
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