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

Antoine Chaillet (1) , Hiroshi Ito (2)

1 L2S - Laboratoire des signaux et systèmes
2 Kyutech - Kyushu Institute of Technology

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.

Mots clés: small gain theorem; integral input to state stability; feedback trade-off; nonlinear stability analysis

Domaines: Automatique / Robotique

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⟩