Title :
A generalized Zames-Falb multiplier
Author :
Materassi, D. ; Salapaka, M.V.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA
fDate :
June 29 2011-July 1 2011
Abstract :
Lur\´e systems represent feedback interconnections of a Linear Time-Invariant system with a nonlinear operator. The Zames-Falb criterion is a powerful tool to determine the stability of a Lur\´e system when the nonlinear operator is defined by a monotonic, odd and single-valued function. The article provides a generalization of the Zames-Falb criterion for the analysis of stability of a Lur\´e system for nonlinear static operators that are "approximately" monotonic and odd. This result extends the standard Zames-Falb criterion with an additional notion of "robustness".
Keywords :
feedback; functions; linear systems; mathematical operators; nonlinear control systems; robust control; Lure systems; feedback interconnections; generalized Zames-Falb multiplier; linear system; monotonic function; nonlinear static operators; odd function; robustness; single valued function; stability analysis; time-invariant system; Asymptotic stability; Numerical stability; Robustness; Stability criteria; Thermal stability; Transfer functions;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5990816
