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 published on a yearly basis
Papers
More filters
15 Jul 2011
TL;DR: The software is based on obtaining the sinusoidal-input describing function (SIDF) models of the nonlinear multivariable plant and has a variety of applications in such industries as robotics, aerospace, automotive, and chemical processes.
Abstract: This paper presents a software in the MATLAB environment for input/output characterization of highly nonlinear multivariable systems. The software is based on obtaining the sinusoidal-input describing function (SIDF) models of the nonlinear multivariable plant. The mathematical development of the input/output characterization approach is outlined, and the code of the nucleus of the characterization software is given. The method and the associated software have no restriction on nonlinearity type, configuration, and arrangement, system order as well as the number of inputs and outputs; the only requirement is that system output(s) for sinusoidal input(s) must be obtainable or available by either simulation or experiments. The software has a variety of applications in such industries as robotics, aerospace, automotive, and chemical processes.
01 Jan 2015
TL;DR: In this paper, the TRC for the design of a self-excited oscillation of a desired amplitude and frequency in linear plants is presented and an approximate approach based on the DF method is given.
Abstract: The TRC for the design of a self-excited oscillation of a desired amplitude and frequency in linear plants is presented. An approximate approach based on the DF method aimed at finding the TRC gains is given. The proposed approach is illustrated by experiments on an inertia wheel pendulum.
31 May 2023
TL;DR: In this paper , a nonlinear model and characteristics of H-bridge converters are proposed based on the describing function method while considering the delay caused by digital control, and the stability and the self-oscillation of current loop control systems are analyzed according to the extended Nyquist stability criterion method.
Abstract: This paper focuses on the non-linearity and the self-oscillation of H-bridge converters. Firstly, the nonlinear model and characteristics of the H-bridge converters are proposed based on the describing function method while considering the delay caused by digital control. Then, the stability and the self-oscillation of current loop control systems are analyzed according to the extended Nyquist stability criterion method. For verification, a prototype of the current loop control system is developed and the experiments regarding to current response affected by the open-loop gain, load characteristics and digital delay are carried out. The results show that the proposed model is accurate and effective.
22 Apr 2023
TL;DR: In this paper , a theoretical model of the damped oscillation is described and the dependence of the damping coefficient on the current through the electromagnetic brake is theoretically investigated, and statistical processing is performed with the recorded data.
Abstract: In this paper problems that arose with the introduction of distance learning in physics at the Technical University of Sofia due to the COVID-19 pandemic and the imposition of video recording of laboratory exercises are indicated. It was found that the video for the ''Damped Mechanical Oscillations'' exercise provides enough information for a more detailed and in-depth analysis of the studied phenomenon compared to the standard way of capturing the data. The Video Editor program was used to view the video frame by frame and statistical processing - non-linear regression - was performed with the recorded data. The laboratory results are compared with the theoretical function, the parameters of which are optimized as a result of the specified processing. A theoretical model of the damped oscillation is described and the dependence of the damping coefficient on the current through the electromagnetic brake is theoretically investigated.
01 Sep 1961
TL;DR: In this paper, describing-function expressions for a sine-type functional nonlinearity were derived for feedback control systems with synchros as error-sensing devices and the controlled variable undergoes large-angle variations.
Abstract: The paper derives describing-function expressions for a sine-type functional non-linearity. In feedback control systems non-linearities of this type are encountered where synchros are used as error-sensing devices and the controlled variable undergoes large-angle variations. The characteristic curve of the non-linearity is approximated by straight-line segments over the entire angular range from -π to +π radians; the slopes and break-points are obtained by minimizing the mean square error between the exact and approximate characteristics. The describing-function expressions are useful for studying sustained oscillatory states of feedback systems comprising such elements. An example is given to illustrate this point.