Title :
A Bounded Real Lemma for nonlinear ℒ2-gain
Author :
Zhang, Huan ; Dower, Peter M. ; Kellet, Christopher M.
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
Abstract :
The well-known Bounded Real Lemma plays a key role in ℒ2-gain based control methods such as H∞ control for both linear and nonlinear systems. Recently, conventional (linear) ℒ2-gain concepts have been generalized to the nonlinear ℒ2-gain framework to encompass a larger class of systems. A bounded real lemma has been developed corresponding to this generalized notion of nonlinear ℒ2-gain.
Keywords :
H∞ control; gain control; nonlinear control systems; H∞ control; bounded real lemma; linear systems; nonlinear ℒ2-gain; nonlinear systems; Asymptotic stability; Gain; Linear systems; Nonlinear systems; Stability criteria; Viscosity; ℒ2-gain; bounded real lemma; dissipative systems;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717971
