Title :
Stability conditions for systems with parametric uncertainties and nonlinear feedback
Author :
Marquez, H.J. ; Diduch, C.P.
Author_Institution :
Dept. of Electr. Eng., New Brunswick Univ., Fredericton, NB, Canada
fDate :
5/1/1994 12:00:00 AM
Abstract :
The purpose of this paper is to use the passivity theorem to derive new stability conditions for a class of systems that consist of a linear subsystem with parametric uncertainty and nonlinear feedback. To address the inherent conservativism in applying the passivity theorem, causal multipliers are introduced into the analysis and it is shown that a Popov-like stability condition results. The stability results are then extended for noncausal multipliers using the notion of positivity
Keywords :
control system analysis; feedback; polynomials; stability criteria; Popov-like stability; causal multipliers; linear subsystem; noncausal multipliers; nonlinear feedback; parametric uncertainties; passivity theorem; positivity; stability conditions; Circuits; Councils; Feedback; Nonlinear systems; Robustness; Stability analysis; Transfer functions; Uncertainty;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
