Article (Scientific journals)
L2-gain of double integrators with saturation nonlinearity
Goncalves, Jorge
2002In IEEE Transactions on Automatic Control, 47 (12), p. 2063-2068
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Keywords :
Double integrator; impact map; nonlinear robust analysis; quadratic surface Lyapunov function; saturation
Abstract :
[en] This note uses quadratic surface Lyapunov functions (SuLFs) to efficiently check if a double integrator in feedback with a saturation nonlinearity has L -gain less than > 0. We show that for many such systems, the L -gain is nonconservative in the sense that this is approximately equal to the lower bound obtained by replacing the saturation with a constant gain of 1. These results allow the use of classical analysis tools like -analysis or integral quadratic constraints to analyze systems with double integrators and saturations, including servo systems like some mechanical systems, satellites, hard disks, compact disk players, etc.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Goncalves, Jorge ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Language :
English
Title :
L2-gain of double integrators with saturation nonlinearity
Publication date :
December 2002
Journal title :
IEEE Transactions on Automatic Control
ISSN :
0018-9286
Publisher :
IEEE, Piscataway, United States - New Jersey
Volume :
47
Issue :
12
Pages :
2063-2068
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
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