A sensitivity trade-off arising in small-gain design for nonlinear systems: an iISS framework

Antoine Chaillet 1, * Hiroshi Ito 2
* Corresponding author
1 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : This note investigates the trade-off arising in disturbance attenuation for nonlinear feedback systems in the framework of integral input-to-state stability. Similarly to the linear case, we show that if a gain tuning on one subsystem is used to drastically reduce the effect of its exogenous disturbances, then the other subsystem's disturbance attenuation is qualitatively the same as in open loop.
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Antoine Chaillet, Hiroshi Ito. A sensitivity trade-off arising in small-gain design for nonlinear systems: an iISS framework. 50th IEEE Conference on Decision and Control, Dec 2011, Orlando, United States. pp.1-6. ⟨hal-00652623⟩

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