DocumentCode
1185530
Title
The describing function for bounded nonlinearities
Author
Blackmore, Denis
Volume
28
Issue
5
fYear
1981
fDate
5/1/1981 12:00:00 AM
Firstpage
442
Lastpage
447
Abstract
We consider an autonomous single-loop feedback system where the nonlinear element is assumed to be a continuous bounded function. Sufficient conditions are obtained for the existence and nonexistence of an oscillation of the system in terms of the describing function criterion. In addition to the qualitative existence results, error bounds on some pertinent oscillation parameters are computed. A graphical procedure is developed to aid in the application of these results.
Keywords
Feedback systems; Functional analysis; Nonlinear circuits and systems; Nonlinear systems; Costs; Feedback; Frequency; Functional analysis; Hilbert space; Mathematics; Nonlinear equations; Sufficient conditions; Transforms; Writing;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1981.1085005
Filename
1085005
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