NDLI: The use of complex equivalent gain of a memory-type nonlinearity for the analysis of feedback control systems with random inputs

Content Provider	IEEE Xplore Digital Library
Author	Asim Sen
Copyright Year	1963
Abstract	The paper presents a technique of linearization of a memory-type nonlinearity with a Gaussian input by applying the concept of "complex describing function." The quasi-linearized transfer function for the nonlinearity with the statistical input is termed "complex equivalent gain." The magnitude of the complex equivalent gain is defined as the ratio of the rms value of the output correlated component to the rms value of the input of the nonlinearity while the phase is assumed to be frequency independent. Furthermore, it is pointed out that the complex describing function for a memory-type nonlinearity is a limiting case of complex equivalent gain where the input to the nonlinearity is a simple sine wave. Finally, a closed-loop control system incorporating a memory-type nonlinearity and impressed by a Gaussian input is analyzed by using the proposed quasi-linearization technique. The results obtained from an analog computer study of the system which agree closely with the results of analysis are also presented.
Sponsorship	IEEE Control Systems Society
Starting Page	245
Ending Page	248
Page Count	4
File Size	372964
File Format	PDF
ISSN	00189286
Volume Number	9
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1964-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control system analysis Feedback control Transfer functions Frequency Control systems Linearization techniques Radio control Nonlinear distortion Nonlinear control systems Linearity
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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