Title :
A sensitivity trade-off arising in small-gain design for nonlinear systems: An iISS framework
Author :
Chaillet, Antoine ; Ito, Hiroshi
Author_Institution :
L2S, Univ. Paris Sud 11, Gif-sur-Yvette, France
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.
Keywords :
control system synthesis; nonlinear control systems; open loop systems; sensitivity analysis; stability; iISS framework; integral input-to-state stability; nonlinear feedback systems; open loop system; sensitivity trade-off; small-gain design; subsystem disturbance attenuation; Attenuation; Indium tin oxide; Lyapunov methods; Sensitivity; Stress; Tuning; Vectors;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161080