Reference : L2-gain of double integrators with saturation nonlinearity
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/20322
L2-gain of double integrators with saturation nonlinearity
English
Goncalves, Jorge mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Dec-2002
IEEE Transactions on Automatic Control
IEEE
47
12
2063-2068
Yes (verified by ORBilu)
0018-9286
Piscataway
NJ
[en] Double integrator ; impact map ; nonlinear robust analysis ; quadratic surface Lyapunov function ; saturation
[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.
http://hdl.handle.net/10993/20322
10.1109/TAC.2002.805674

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