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
Link To Document :
