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

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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https://hal-supelec.archives-ouvertes.fr/hal-00652623
Contributor : Antoine Chaillet <>
Submitted on : Thursday, December 15, 2011 - 11:28:24 PM
Last modification on : Wednesday, September 16, 2020 - 4:43:24 PM
Long-term archiving on: : Monday, December 5, 2016 - 12:45:19 AM

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  • HAL Id : hal-00652623, version 1

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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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