Title :
On the stability of feedback systems with one diffrentiable nonlinear element
Author_Institution :
67 Huxley Rd., Kent, England
fDate :
7/1/1966 12:00:00 AM
Abstract :
The purpose of this paper is to establish the stability of single-loop feedback systems with one differentiable nonlinear element. In those cases where the Popov criterion fails to guarantee stability for the entire sector predicted by Aizerman´s conjecture, new results can be obtained by restricting the slope of the nonlinear function. A new frequency domain stability criterion is obtained which, like the Popov criterion, has only one unknown parameter. Thus, a simple graphical interpretation is possible. Examples are given which show a considerable improvement over the Popov criterion.
Keywords :
Nonlinear systems; Stability; Artificial intelligence; Automatic control; Differential equations; Feedback; Frequency domain analysis; Frequency response; Stability criteria;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1966.1098380