Disturbance rejection in iISS feedback nonlinear systems: a sensitivity trade-off

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. Disturbance rejection in iISS feedback nonlinear systems: a sensitivity trade-off. IEEE Conf. on Decision and Control, Dec 2011, Orlando, United States. 6 p. ⟨hal-00618276⟩

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