scispace - formally typeset
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
More filters
Proceedings ArticleDOI

Notice of Retraction Harmonic response analysis for beam's vibration under aperiodic excitations

TL;DR: In this paper, a numerical analysis of fine discretization was used to investigate the response of beam under aperiodic excitations, and harmonic response analysis was applied in the solution of a periodic steady response.

MAST Plasma Response Investigations using DINA-CH

TL;DR: In this paper, the response of the plasma to a vertical perturbation, and thus the vertical control, is suspected to be more non-linear than for conventional R/a tokamaks.
Journal ArticleDOI

Nonlinear frequency response based adaptive vibration controller design for a class of nonlinear systems

TL;DR: In this article, a nonlinear frequency response function (FRF) based adaptive vibration controller design for a mechanical system with cubic damping nonlinearity and a satellite system is presented. But unlike the previous work, this work does not consider the convergence property of nonlinear systems.
Proceedings ArticleDOI

Tuning of ‘Constant in Gain Lead in Phase (CgLp)’ Reset Controller using Higher-orDer Sinusoidal Input Describing Function (HOSIDF)

TL;DR: A recently developed method, which gives deeper insight into the frequency behaviour of non-linear controllers compared to sinusoidal input describing function (DF), is used to obtain a straight-forward tuning method for CgLp compensators.
Posted Content

Tuning of a Class of Reset Elements Using Pseudo-Sensitivities

TL;DR: This paper proposes a reliable frequency-domain tuning method for Constant in gain Lead in phase compensators and shows that the presented tuning method is effective, and the system with the CgLp compensator achieves superior dynamic performance to that of the PID controller.
References
More filters
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.
Related Papers (5)