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: The describing function method is used as a guide to the behaviour of the solutions of the equations of Danziger and Elmergreen as a model of periodic catatonia, suggesting that whenever the equilibrium point is unstable it is surrounded by a stable closed periodic orbit.
1 citations
01 Oct 2017
TL;DR: In this paper, a design method of a reset controller for nonlinear chaotic systems has been proposed and applied to the forced Van der Pol equation (VDE) system and showed its effectiveness.
Abstract: In nonlinear systems, chaos may exsist in some's parameters and may cause some unexpected damage. This paper proposes a design method of a reset controller for nonlinear chaotic systems. We consider a plant consisting of a linear system with a nonlinear feedback element and show a condition of the parameter for which chaos controls, using describing functions of the nonlinear element and the reset controller. We apply the proposed design method of the reset controller to the forced Van der Pol equation system and show its effectiveness.
1 citations
1 citations
01 Jan 1999
TL;DR: In this article, the authors used the describing function method to analyze control systems with separable nonlinearities, together with some well established robustness tools for linear systems, for the prediction of limit cycles in uncertain systems with multiple non-linearities connected in series.
Abstract: The describing function method can be used to analyze control systems with separable nonlinearities. In the paper, together with some well established robustness tools for linear systems, the method is used in the prediction of limit cycles in uncertain systems with multiple nonlinearities connected in series. Uncertainty is assumed to exist in terms of parameter variations in both the linear and the nonlinear elements. The software tools developed for this purpose are discussed and utilized to provide illustrative examples. The results are, of course, subject to the usual errors and restrictions of the describing function method.
1 citations
TL;DR: In this article, a method is presented for obtaining the steady-state temperature responses of bayonet-type heat exchangers subject to sinusoidal flow rate changes of large amplitude.
Abstract: A computational method is presented for obtaining the steady-state temperature responses of bayonet-type heat exchangers subject to sinusoidal flow rate changes of large amplitude The frequency- and amplitude-dependent describing functions between the input sinusoidal flow rate changes and the fundamental component of the steady-state response of the outlet temperature of tube-side of shell-side fluid are also derived Numerical examples are given and the effects of the amplitude of the flow rate changes on the frequency responses are shown: (1) The vector loci of the describing functions are illustrated (2) The dc-components of the periodic responses are plotted for various values of the amplitude Finally the responses calculated by the present method are confirmed by means of the Runge-Kutta-Gill method, and it is shown that the present method can reduce the computation time remarkably
1 citations