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Open AccessJournal ArticleDOI

Measuring the higher order sinusoidal input describing functions of a non-linear plant operating in feedback

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TLDR
In this article, two measuring techniques are presented for measuring the higher order sinusoidal input describing functions (HOSIDF) of a non-linear plant operating in feedback.
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This article is published in Control Engineering Practice.The article was published on 2008-01-01 and is currently open access. It has received 26 citations till now. The article focuses on the topics: Harmonic & Harmonics.

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Citations
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Journal ArticleDOI

A comparative overview of frequency domain methods for nonlinear systems

TL;DR: This paper provides a comparative overview of four classes of frequency domain methods for nonlinear systems: Volterra based models, nonlinear frequency response functions / Bode plots, describing functions and linear approximations in the presence of nonlinearities.
Proceedings ArticleDOI

Nonlinearities in Industrial motion stages - detection and classification

TL;DR: In this paper, a broadband signal is used to measure a linear approximation of the system dynamics and the influence of nonlinearities, which yields a quantitative measure of the power generated by nonlinearity at harmonics of the input frequency as a function of this frequency and signal amplitude.
Journal ArticleDOI

HOSIDF-based feedforward friction compensation in low-velocity motion control systems

TL;DR: In this article, the authors describe an application of a recently introduced methodology for modeling of a class of nonlinear systems, Higher-Order Sinusoidal Input Describing Function technique (HOSIDF), to a motion control platform for which a precisely controlled motion at low velocity is required.
Journal ArticleDOI

Discrete linear control enhanced by adaptive neural networks in application to a HDD-servo-system

TL;DR: In this article, the performance of a linear, discrete high performance track following controller in a hard disk drive is improved for its disturbance rejection by the introduction of a discrete non-linear, adaptive neural network (NN) element.
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.
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).
Book

Multivariable Feedback Control: Analysis and Design

TL;DR: This book presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems and provides the reader with insights into the opportunities and limitations of feedback control.
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.
Journal ArticleDOI

Zero Phase Error Tracking Algorithm for Digital Control

TL;DR: In this article, a digital feed-forward control algorithm for tracking desired time varying signals is presented, which is particularly suited to the general motion control problems including robotic arms and positioning tables.
Journal ArticleDOI

Repetitive control system: a new type servo system for periodic exogenous signals

TL;DR: In this article, a control scheme called repetitive control is proposed, in which the controlled variables follow periodic reference commands, and a high-accuracy asymptotic tracking property is achieved by implementing a model that generates the periodic signals of period L into the closed-loop system.
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