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: A numerical method for calculating the complex describing function of a delta modulation system is presented, presented as computer plots as well as in the form of coefficients of a polynomial regression.
1 citations
TL;DR: In this article, a criterion for the investigation of the stability of a certain class of non-linear systems with sinusoidal input is proposed, derived from the concepts of the describing function method and the circle criterion.
Abstract: A criterion for the investigation of the stability of a certain class of non-linear system with sinusoidal input is proposed. It is derived from the concepts of the describing function method and the circle criterion. If the non-linear system satisfies the restrictions of describing function analysis and if the characteristic of the non-linearity is bound in a sectory/ee[a, b], there exists a critical region in the G inverse polar plane which contains ail possible describing functions of non-linearities bounded in this sector. Sufficient condition for the stability of the system is assured if the locus of the linear element does not intersect the critical region.
1 citations
01 Sep 1962
TL;DR: In this paper, a high-sensitivity feedback relay amplifiers with a hysteresis relay was designed using the exponential input describing function (EIMF) and the accuracy of this design method was confirmed by experiment.
Abstract: High-sensitivity feedback relay amplifiers may be built with a hysteresis relay. It is possible to obtain a linear range which is not large compared with the hysteresis band. The design of these amplifiers is accomplished using the exponential input describing function. The accuracy of this design method is confirmed by experiment.
1 citations
01 Oct 1979
TL;DR: In this paper, a general noise theory for microwave oscillators was developed and applied to the cases of mutually coupled and multiple-device oscillators, and explicit expressions for the output power, the FM-and the AM-noise were derived.
Abstract: A general noise theory for microwave oscillators, which is based upon the describing function method, is developed and applied to the cases of mutually coupled and multiple-device oscillators. Explicit expressions are derived for the output power, the FM-and the AM-noise. Both theoretical and experimental results are given concerning the dependence of the output noise on the number of active devices and on the parameters of the coupling network.
1 citations
Proceedings Article•
15 Feb 2006TL;DR: Development of a new robust and high performance controller design platform for use with highly nonlinear systems without any restrictions on non- linearity type, non-linearity arrangement, the number of nonlinear terms, the order of the system, and thenumber of inputs and/or the outputs is reported.
Abstract: The main purpose of this paper is to report on development of a new robust and high performance controller design platform for use with highly nonlinear systems without any restrictions on non-linearity type, non-linearity arrangement, the number of nonlinear terms, the order of the system, and the number of inputs and/or the outputs. The design platform is based on describing function approach to analysis, diagnose, and design of highly nonlinear systems. The presented describing function approach to design of nonlinear control systems is fully systematic, computer-aided, and it minimizes the subjective judgment that needs to be employed by the designer. The approach is applied to robotic and aerospace example problems.
1 citations