DocumentCode
1328230
Title
Computation of Zames-Falb Multipliers Revisited
Author
Chang, Michael ; Mancera, Ricardo ; Safonov, Michael
Author_Institution
Dept. of Electr. Engi neering, Univ. of Southern California, Los Angeles, CA, USA
Volume
57
Issue
4
fYear
2012
fDate
4/1/2012 12:00:00 AM
Firstpage
1024
Lastpage
1029
Abstract
The convex approach to the absolute stability problem is considered. Gapski and Geromel´s algorithm for computing Zames-Falb multipliers, used in determining stability, treats the problem as an optimization problem. It is found that their algorithm may terminate prematurely in some cases, failing to find the optimal multiplier. We propose an improvement that always finds an ascent direction and a multiplier that improves the objective function whenever one exists.
Keywords
absolute stability; convex programming; nonlinear control systems; Gapski and Geromel algorithm; Zames-Falb multipliers; absolute stability problem; ascent direction; convex approach; objective function; optimal multiplier; Approximation algorithms; Approximation methods; Stability criteria; Thermal stability; Transfer functions; Zinc; Absolute stability; Zames–Falb; stability of NL systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2011.2169623
Filename
6026910
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