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 study about the robustness of event-based discrete PI controllers is presented, based on Sampled Describing Function technique, which has been used to characterize the non-linear effect of the Symmetric Send on Delta sampling strategy on the control loop.
01 Jan 1993
TL;DR: A method has been developed to help verify system models and measurements and identify system nonlinearities and enable more accurate comparisons in iden- tifying nonlinear systems.
Abstract: A method has been developed to help verify system models and measurements and identify system nonlinearities. This method involves measur- ing the response of physical systems with a swept sine measurement device, such as the HP3562(3)A Con- trol Systems Analyzer (CSA) 1 , and simulating system models with a dynamic system simulation tool, such asSIMULINK,usingsweptsineinput. Theinput-output timesequencesobtained from the simulationsareana- lyzedinasimilarfashionasdonebytheCSAtoenable more accurate comparisons. A parallelism between swept sine measurements and describing functions is exploited to allow this method to be used in iden- tifying nonlinear systems. Using the measured and simulated frequency response functions as a guide the designer can iteratively improve the model of the sys- tem and verify the correctness of the measurements.
01 Jan 2019
TL;DR: In this article, a power maximization problem for tuned dynamic nonlinear sources has been solved by applying admittance and scattering describing functions, and application for microwave power amplifier design has been given.
Abstract: Power maximization problem for tuned dynamic nonlinear sources has been solved by applying admittance and scattering describing functions. Application for microwave power amplifier design has been given. Another special case when the nonlinear dynamic source is not tuned but weakly nonlinear has also been discussed. A table containing main results in power maximization of source circuits has been presented.
TL;DR: A new statement of the describing function method for non-linear systems subject to stochastic input is proposed, and uses a mathematical formulation which is explained directly by means of the characteristic f(x) of theNon-linearity to describe successively a class of statistical linearization, aclass of non- linear statistical optimization, and the self-oacillating problem in the presence of noise.
Abstract: A new statement of the describing function method for non-linear systems subject to stochastic input is proposed. This approach is considered as an improvement on the deterministic case, and uses a mathematical formulation which is explained directly by means of the characteristic f(x) of the non-linearity. Firstly, we bear in mind this formulation, and then we describe successively a class of statistical linearization, a class of non-linear statistical optimization, and lastly we consider the self-oacillating problem in the presence of noise.
18 May 2003
TL;DR: This paper presents a new algorithm for the control of nonlinear robot systems, which are expressed as high-order nonlinear differential equation, based on feeding back delayed values of the observable variables and augmenting the system by additional discrete integrators.
Abstract: This paper presents a new algorithm for the control of nonlinear robot systems, which are expressed as high-order nonlinear differential equation. Some of the difficulties are caused by the nonlinear Coulomb friction, the spring effect of the link between the drive motor and the manipulator arm, and the unmeasurable state variables. The algorithm is based on feeding back delayed values of the observable variables and augmenting the system by additional discrete integrators. The control gain parameters are obtained numerically by applying the quadratic optimal control theory and then readjusting the parameters to eliminate the limit cycle by investigating the proposed describing function method for a discrete-continuous hybrid system.