NDLI: Identification of Nonlinear Systems in Frequency Domain

Content Provider	IEEE Xplore Digital Library
Author	Shanmugam, K.S. Jong, M.T.
Copyright Year	1965
Abstract	A frequency domain technique for identifying a class of nonlinear systems is presented. The class of nonlinear systems we consider in this paper consists of a power series nonlinearity sandwiched between two linear systems and the problem we address is one of identifying the transfer functions of the linear systems and the coefficients of the power series nonlinearity from the terminal behavior of the system. The identification procedure is based on a frequency domain model of the nonlinear system. The system is modeled by a set of nonlinear transfer functions in the frequency domain and the relationships between the transfer functions of the linear system, the power series coefficients of the nonlinearity, and the nonlinear transfer functions of the system are developed. The identification procedure is based on a simple algorithm for factoring the non-linear transfer functions of the system. The experimental data required for applying our identification procedure consists of the amplitude response of the system to multitone sinusoidal input. A minimum phase transfer function in a single variable is used to approximate the experimental data and the repeated application of the factoring algorithm leads to the identification of the system. Examples illustrating the use of the proposed procedure are also presented.
Starting Page	1218
Ending Page	1225
Page Count	8
File Size	1707219
File Format	PDF
ISSN	00189251
Volume Number	AES-11
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1975-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear systems Frequency domain analysis Transfer functions Linear systems Power system modeling Aerospace and electronic systems Tracking loops Radar imaging Radar tracking Frequency response
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Aerospace Engineering

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