Topic
Describing function
About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.
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TL;DR: In this article, the authors pointed out that the order of the harmonic for which there is an appreciable output is quite high for the same example and that the fifth harmonic is not the harmonic with the largest amplitude, but the third harmonic.
Abstract: Recently an example to illustrate the misuse of the describing function method was pointed out It is the purpose of this correspondence to show that the order of the harmonic for which there is an appreciable output is quite high for the same example Further, it is pointed out that the fifth harmonic is not the harmonic with the largest amplitude, but it is the third harmonic Incidentally, a simulation under CSMP on the digital computer showed that the radian frequency of the limit cycle is about ten percent less
TL;DR: An experimental study is presented that establishes the boundaries of the PI controller parameters (proportional and integral gains) that avoid any limit cycle considering that a lag-dominant first order process model is used for the tuning.
01 Jan 2007
TL;DR: The procedure for approximate analytical determination of describing function of nonlinear systems with odd static characteristics is presented in the paper and generalized mathematical expressions for determining such describing function with error estimation are given.
Abstract: – The procedure for approximate analytical determination of describing function of nonlinear systems with odd static characteristics is presented in the paper. Generalized mathematical expressions for determining such describing function with error estimation are given. The procedure is illustrated on determination of describing function, and corresponding error estimation, of Mamdani fuzzy element and nonlinear system with fuzzy element and saturation nonlinearity.
TL;DR: A computer program based on sinusoidal input describing function techniques for the prediction of limit cycles in multivariable non linear feedback systems and the method is applied to the design of a controller for an industrial air compressor system.