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
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TL;DR: In this paper, the authors present the tuning of a reset-based element called "Constant in gain and Lead in phase" (CgLp) in order to achieve desired precision performance in tracking and steady state.
5 citations
07 Mar 2009
TL;DR: A systematic approach to adjust the amplitude of a sinusoidal nonlinear oscillator is discussed in this paper and the describing function method is used to find periodic solutions for nonlinear system.
Abstract: A systematic approach to adjust the amplitude of a sinusoidal nonlinear oscillator is discussed in this paper. Operational transconductance amplifier (OTA) and adjustable high-Q, second order bandpass filter are nonlinear element and linear element, respectively. The describing function method is used to find periodic solutions for nonlinear system. Experimental and simulation results are simulated using ORCAD CAPTURE, while, the numerical results are obtained using MAPLE and MATLAB.
5 citations
TL;DR: In this article, the integro-differential equation of the nuclear power system was approximated and the nuclear energy system was represented by a linear system and a nonlinear system in cascade.
Abstract: The integro-differential equation of reactor dynamics is studied and approximated. It is found that a reactor can be represented by means of a linear system and a nonlinear system in cascade. The transfer function of the linear system is the classical low-power transfer function. The nonlinear system is a nonlinear amplifier with an exponential characteristic. The describing function is computed in the case of a water-moderated reactor and it is shown that the gain near resonance increases with the magnitude of a reactivity sinusoidal oscillation.
5 citations
TL;DR: In this article, the performance of various high frequency dither signals with different wave forms in nonlinear feedback systems is investigated, and an analog experimental device is set up to simulate the nonlinear systems, which consists of dither and a nonlinear element such as a relay or a limiter.
Abstract: Dither is a high frequency signal which is introduced into a nonlinear system with the object of augmenting stability, quenching undesirable limit cycle, and altering the apparent nonlinear element characteristics. In this paper, we investigate the performance of various high frequency dither signals with different wave forms in nonlinear feedback systems. Meanwhile, an analog experimental device is set up to simulate the nonlinear systems, which consists of dither and a nonlinear element such as a relay or a limiter. A describing function and an equivalent nonlinearity method are used to evaluate the dither performance. The performance of various dither signals having a certain wave form is examined through these studies, and the results could evaluate effectiveness of these dither-injection techniques into nonlinear feedback systems.
5 citations
01 Jan 2008
5 citations