scispace - formally typeset
Search or ask a question
Topic

Describing function

About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.


Papers
More filters
Proceedings ArticleDOI
14 Sep 1993
TL;DR: In this paper, the reliability of describing functions as an analysis tool was investigated for predicting stick-slip caused by the dominant friction contributor. But the results of describing function analysis were compared with theoretical results to determine the reliability applied to the problem of friction.
Abstract: In designing servo controls for machine tools, position controlled robots, tracking mechanisms and disk drives, stick-slip problems are often encountered. Analysis tools are frequently used during the design and development phase in industry and research to predict the stick-slip caused by the dominant friction contributor. If an analysis tool can correctly predict the stick-slip during the design and development phase then the controller design task can be greatly eased-but the analysis tool must be reliable. Reliability in the context of this discussion means the ability of an analysis tool to correctly predict stick-slip for all possible parameter combinations (PID, mass, Coulomb force, etc.) within the problem space. This paper presents an investigation into the reliability of describing functions as an analysis tool. A PID controller is applied to a plant with friction. The friction is represented by different describing functions. The results of describing function analysis are compared with theoretical results to determine the reliability of describing functions applied to the problem of friction. >
Journal ArticleDOI
TL;DR: In this paper , an amplitude-dependent flame transfer function was used to model the acoustic field in a hard-walled box to investigate the limit cycle of thermoacoustic oscillation and the interplay of two modes.
Abstract: In this work, nonlinear thermoacoustic instability analysis is made in a hard-walled box to investigate the limit cycle of thermoacoustic oscillation and the interplay of two modes. We model the flame as an acoustically compact source described by a generic Flame Describing Function, i.e. an amplitude-dependent Flame Transfer Function. The acoustic field in the hard-wall box could be described by an integral equation using a Green's function tailored to a three-dimensional (3-D) rectangular box with hard-wall boundary conditions. The integral equation is solved by two methods. Firstly, an iteration method, stepping forward in time, is used to give the time history of the acoustic velocity. The other method is done in the frequency domain to determine the thermoacoustic eigenfrequency and growth rate of thermoacoustic modes. We could observe the phenomenon of modes "jump" after two different time windows of the time history operated with the Fourier transformation. This result reveals that there are two modes in the system, the interference between modes will occur. In the early stage, the two modes work together. After reaching the limit cycle oscillation, the role of one mode is dominant and the other mode basically disappears.
Journal ArticleDOI
TL;DR: In this article, the limiting gain for the stability of a closed-loop pulse-width modulated control system is obtained by the application of multiple-input describing function technique, particularly when a significant harmonic is present at the input in addition to the fundamental frequency signal.
Abstract: The limiting gain for the stability of a closed-loop pulse-width modulated control system is obtained by the application of multiple-input describing function technique, particularly when a significant harmonic is present at the input in addition to the fundamental frequency signal. Result shows that the allowable gain thus obtained can be much smaller than that obtained by the application of fundamental frequency describing function.
Journal ArticleDOI
01 Jan 2017
TL;DR: An insight to the GUI and its features is presented and example problems from both single variable and multivariable cases are demonstrated and the nucleus of the MATLAB command underlying the user interface has been outlined.
Abstract: This paper presents a Graphical User Interface (GUI) software utility for the input/output characterization of single variable and multivariable nonlinear systems by obtaining the sinusoidal input describing function (SIDF) of the plant The software utility is developed on MATLAB R2011a environment The developed GUI holds no restriction on the nonlinearity type, arrangement and system order; provided that output(s) of the system is obtainable either though simulation or experiments An insight to the GUI and its features are presented in this paper and example problems from both single variable and multivariable cases are demonstrated The formulation of input/output behavior of the system is discussed and the nucleus of the MATLAB command underlying the user interface has been outlined Some of the industries that would benefit from this software utility includes but not limited to aerospace, defense technology, robotics and automotive
Proceedings ArticleDOI
08 Jan 1996
TL;DR: In this paper, a new modeling for a typical hysteresis characteristic by affine dynamical systems is presented, which includes both simultaneously, simulation and control for industrial plants which contain it.
Abstract: This paper presents a new modeling for a typical hysteresis characteristic by affine dynamical systems. It is known that the traditional method of describing functions for it only includes stationary response and does not include the transient response. Since this new method includes both simultaneously, simulation and control for industrial plants which contain it may be done more accurately than before.

Network Information
Related Topics (5)
Control theory
299.6K papers, 3.1M citations
90% related
Linear system
59.5K papers, 1.4M citations
88% related
Control system
129K papers, 1.5M citations
86% related
Robustness (computer science)
94.7K papers, 1.6M citations
83% related
Electric power system
133K papers, 1.7M citations
80% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202312
202230
202142
202057
201953
201847