On the stability of feedback systems with one diffrentiable nonlinear element
Open Access
- 1 July 1966
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 11 (3) , 485-491
- https://doi.org/10.1109/tac.1966.1098380
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
This publication has 4 references indexed in Scilit:
- A stability inequality for a class of nonlinear feedback systemsIEEE Transactions on Automatic Control, 1966
- A note on Aizerman's conjectureIEEE Transactions on Automatic Control, 1965
- General Formulation of the Nyquist CriterionIEEE Transactions on Circuit Theory, 1965
- A generalization of the Popov criterionIEEE Transactions on Automatic Control, 1965