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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.
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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).

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Citations
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Non-parametric identification of higher order sinusoidal output describing functions

TL;DR: The HOSODF can be defined for the class of causal, stable, time invariant non-linear systems which give a sinusoidal response to a specific harmonic excitation of non- linear systems.
Journal ArticleDOI

A Frequency-Domain Tuning Method for a Class of Reset Control Systems

TL;DR: In this article, the frequency-domain framework and the frequency domain stability method are used to tune CgLp compensators, which can achieve more favorable dynamic performance than the PID controller.
Posted Content

Band-Passing Nonlinearity in Reset Elements.

TL;DR: This paper investigates the higher-order harmonics for reset elements with one resetting state and proposes an architecture and a method of design which allows for band-passing the nonlinearity and its effects, namely, higher- order harmonics and phase advantage.
Journal ArticleDOI

Reset Control for Vibration Disturbance Rejection

TL;DR: This paper investigates two reset control strategies namely (1) band-pass phase lag reduction and (2) phase compensation to reduce the negative effects of higher order harmonics and shows that phase compensation provides better performance compared to other tested strategies.

Higher order sinusoidal input describing functions : extending linear techniques towards non-linear systems analysis

TL;DR: In this thesis an alternative concept for frequency based nonlinear system analysis is presented, the required measurement techniques are described and some application examples are shown.
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

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

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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