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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Book ChapterDOI
Identification of Restoring Force Surfaces in Nonlinear MDOF Systems from FRF Data Using Nonlinearity Matrix
TL;DR: It is shown that Restoring Force Surfaces (RFS) can be identified more accurately by employing the nonlinear identification method, and the verification of the method is demonstrated with simulated and experimental case studies.
Journal ArticleDOI
Tuning of CgLp based reset controllers : Application in precision positioning systems
Mahmoud Shirdast Bahnamiri,Nima Karbasizadeh,Ali Ahmadi Dastjerdi,Niranjan Saikumar,S. Hassan HosseinNia +4 more
TL;DR: In this paper, the authors present the tuning of a reset-based element called "Constant in gain and Lead in phase" (CgLp) in order to achieve desired precision performance in tracking and steady state.
Journal ArticleDOI
An Improved Describing Function With Applications for OTA-Based Circuits
Dries Peumans,Gerd Vandersteen +1 more
TL;DR: An improved DF is proposed, which can be directly derived from the static nonlinear characteristic of the transconductance amplifier, which has a better nonlinear prediction capability than the state-of-the-art solutions.
Journal ArticleDOI
Quasi-linear analytical approach to stick–slip friction in the frequency domain
TL;DR: In this paper, a quasi-linear analytical approach to the Karnopp nonlinear model of stick-slip friction is presented, which has additional phase lag at low frequencies in comparison with the well-known describing function of the Coulomb friction model.
Frequency domain based performance optimization of systems with static nonlinearities
TL;DR: It is shown that a frequency domain representation of the input-output dynamics yields a well de?ned notion of performance for a class of nonlinear systems, and the approach is shown to be e?ective in an industrial case study of frequency domain based optimal friction compensation in a transmission electron microscope.
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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