DocumentCode
797988
Title
An off-axis circle criterion for stability of feedback systems with a monotonic nonlinearity
Author
Cho, Yo-sung ; Narendra, Kumpati S.
Author_Institution
Honeywell Inc., Waltham, MA, USA
Volume
13
Issue
4
fYear
1968
fDate
8/1/1968 12:00:00 AM
Firstpage
413
Lastpage
416
Abstract
An off-axis circle criterion is stated in this paper as a sufficient condition for the stability of a nonlinear feedback system with a single monotonic nonlinearity. The criterion provides a geometric method for determining a sector ![(K_{1} < [F(y_{1})-F(y_{2})]/ (y_{1}-y_{2}) < K_{2})](/images/tex/5554.gif)
with in which the nonlinearity may lie for asymptotic stability. The relation between the criterion stated and the well-known Popov criterion and the circle criterion for time-varying systems is also discussed. Two examples are included to clarify various aspects of the criterion and its relation to existing results.
with in which the nonlinearity may lie for asymptotic stability. The relation between the criterion stated and the well-known Popov criterion and the circle criterion for time-varying systems is also discussed. Two examples are included to clarify various aspects of the criterion and its relation to existing results.Keywords
Circle stability criterion; Nonlinear systems; Asymptotic stability; Equations; Frequency domain analysis; Linearity; Negative feedback; Stability criteria; State feedback; Sufficient conditions; Tellurium; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1968.1098951
Filename
1098951
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