DocumentCode
1117322
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
Volume
41
Issue
5
fYear
1994
fDate
5/1/1994 12:00:00 AM
Firstpage
423
Lastpage
426
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;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.296328
Filename
296328
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