Journal ArticleDOI
Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses
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
Nonlinear identification and optimal feedforward friction compensation for a motion platform
TL;DR: This study first identified the nonlinear dynamics of the platform using Higher Order Sinusoidal Input Describing Function based system identification, and modeled the friction using the Stribeck model and identified its parameters through a procedure including a special reference signal and the Nelder–Mead algorithm.
Book ChapterDOI
Parametric Identification of Nonlinearity from Incomplete FRF Data Using Describing Function Inversion
TL;DR: In this paper, an approach for detection, localization, characterization, and parametric identification of nonlinear elements by using incomplete FRF data is proposed, which is made possible to identify the restoring force of more than one type of non-linearity which may coexist at the same location.
Journal ArticleDOI
Fault diagnosis methodology based on nonlinear system modelling and frequency analysis
TL;DR: In this paper, a fault diagnosis methodology based on nonlinear system modelling and frequency analysis is developed, which is derived via resolving several fundamental issues associated with conducting system fault diagnosis using the NARMAX (Nonlinear Auto-Regressive Moving Average with eXougenous inputs) modelling and NOFRFs (nonlinear Output Frequency Response Functions) based frequency analysis, which was recently proposed and extends the well-known linear system modeling and FRF (Frequency Response Function)based frequency analysis to the nonlinear case.
Journal ArticleDOI
A frequency response identification method for discrete-time processes with cyclic steady state conditions
TL;DR: A new frequency response identification method is presented to estimate frequency responses of discrete-time linear time-invariant processes, which provides multiple exact frequency response data set for any desired frequencies.
Journal ArticleDOI
Frequency domain based real-time performance optimization of Lur'e systems
TL;DR: In this article, a real-time performance optimization is achieved by application of extremum seeking algorithm, which yields a new method for realtime compensation of performance degrading nonlinear effects, which is successfully demonstrated in both simulation and experiment.
References
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Book
Applied Nonlinear Control
TL;DR: Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas).
Journal ArticleDOI
A survey of models, analysis tools and compensation methods for the control of machines with friction
TL;DR: This survey is the first to bring to the attention of the controls community the important contributions from the tribology, lubrication and physics literatures, and provides a set of models and tools for friction compensation which will be of value to both research and application engineers.
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
Multiple-Input Describing Functions and Nonlinear System Design
TL;DR: The theory of automatic control has been advanced in important ways during recent years, particularly with respect to stability and optimal control, but these theories do not, however, lay to rest all questions of importance to the control engineer.
Journal ArticleDOI
An iterative method for the identification of nonlinear systems using a Hammerstein model
Kumpati S. Narendra,P. Gallman +1 more
TL;DR: In this article, an iterative method is proposed for the identification of nonlinear systems from samples of inputs and outputs in the presence of noise, which consists of a no-memory gain (of an assumed polynomial form) followed by a linear discrete system.
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