Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/933542

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Title
Nonlinear L2-gain analysis via a cascade
Author/Creator
Dower, Peter M.;  Zhang, Huan;  Kellett, Christopher M.
Institution
The University of Newcastle. Faculty of Engineering & Built Environment, School of Electrical Engineering and Computer Science
Description
A nonlinear L₂-gain property that generalizes the conventional (linear) notion of L₂-gain for finite dimensional dynamical systems is studied. In particular, an optimization-based approximation strategy that facilitates computation of gain bounds via a cascade is presented. The cascade in question consists of the dynamical system under test, driven by a nonlinear “energy saturation” operator that limits the energy delivered to that system. The main advantage of this approach is demonstrated to be improved regularity properties of the value function. This is demonstrated via a specific energy saturation operator and a simple example.
Relation
49th IEEE Conference on Decision and Control, (CDC 2010). Proceedings of the 49th IEEE Conference on Decision and Control (Atlanta, GA 15-17 December, 2010) p. 6242 - 6247
Publisher Link
http://dx.doi.org/10.1109/CDC.2010.5717969
Date
2010
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Keyword(s)
L₂-gain analysis;  nonlinear systems;  cascade;  optimization;  dynamic programming
Resource Type
conference paper
Identifier
http://hdl.handle.net/1959.13/933542
Identifier
ISBN:9781424477449
Identifier
ISSN:0743-1546
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"Nonlinear L2-gain analysis via a cascade"
 
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