DocumentCode
779007
Title
All multipliers for repeated monotone nonlinearities
Author
Kulkarni, Vishwesh V. ; Safonov, Michael G.
Author_Institution
Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
Volume
47
Issue
7
fYear
2002
fDate
7/1/2002 12:00:00 AM
Firstpage
1209
Lastpage
1212
Abstract
We have derived the largest class of bounded linear time-invariant operators that preserve positivity of repeated monotone nonlinearities. It reduces conservativeness of integral quadratic constraint (IQC) stability analysis of systems having repeated monotone nonlinearities to the minimum possible. Utility of this characterization stems from the fact that such nonlinearities are typically encountered in stability analysis of anti windup schemes among other applications. We have also derived the time varying counterpart of this class of operators
Keywords
control nonlinearities; control system analysis; stability; IQC stability analysis; LTI operators; anti-windup schemes; integral quadratic constraint stability analysis; linear time-invariant operators; multipliers; repeated monotone nonlinearities; Feedback; Stability analysis; Terminology; Windup;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2002.800642
Filename
1017574
Link To Document