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: Results there are given the conditions for and characteristics of limit cycles depending on the threshold, time stop and sampling period for a considered w-transfer function of the sampled data system.
TL;DR: The investigated results indicate that parameter’s adjustment of the aforementioned pulse-width pulse-frequency modulator can be recognized as the state-of-the-art outcomes via adaptation rules.
Abstract: This research describes an adaptation-based control strategy to deal with the pulse-width pulse-frequency modulator. The subject behind the research is to control the above-referenced modulators the hard limiter block via closed-loop describing function representation. In a word, this modulator has a set of parameters, which are all in need of adjusting, accurately, in order to guarantee its high performance, in the entire areas of overall systems under control. The investigated results indicate that parameter’s adjustment of the aforementioned pulse-width pulse-frequency modulator can be recognized as the state-of-the-art outcomes via adaptation rules.
TL;DR: In this article, an exact solution in mathematical sense for the step response of the second order servo incorporating a hysteresis element is obtained, and both the condition for the system to have a cycle and an elementary proof that the cycle is a limit cycle are given by the successor function method.
Abstract: An exact solution in mathematical sense for the step response of the second order servo incorporating a hysteresis element is obtained. It is made clear that the step responses are sorted out into three types according to the value which the system gain constant takes. And both the condition for the system to have a cycle and an elementary proof that the cycle is a limit cycle are given by the successor function method. Besides the approximate solution for the cycle obtained by the describing function method is studied in detail.
01 Jan 2021
TL;DR: In this paper, a dynamic model for the nonlinear mixed-signal control loop of switch conductance regulation (SwCR) converters is proposed, which allows to analyze the stability for this class of ReSC converters and, accordingly, to optimize the design of the control loop.
Abstract: A dynamic model for the nonlinear mixed-signal control loop of switch conductance regulation (SwCR) is proposed. The model allows to analyze the stability for this class of ReSC converters and, accordingly, to optimize the design of the control loop. An analytic stability criterion is derived based on a harmonic balance approach (also called describing function analysis) together with the dual locus method. The model is verified by measurements of the proposed resonant SC converter that operates up to a resonance frequency of 47 MHz. The presented modeling methodology can be applied to other areas, such as digital LDO, slope shaping, or digitally assisted analog.
01 Jan 2017
TL;DR: A method to estimate the parameters of first and second order systems with time delays with different accuracy levels for autotuning of event-based PID controllers is presented.
Abstract: In this paper, a method to estimate the parameters of first and second order systems with time delays with different accuracy levels for autotuning of event-based PID controllers is presented. Information from the describing function of the nonlinearity that introduces the event-based sampling strategy and measures of the oscillations are used to generate the estimations. The event-based sampling condition applied is based on the sampling strategy known as symmetric-send-on-delta.