Nonlinear fractional-order systems; generalization of Gronwall-Bellman lemma; linear matrix inequality (LMI); robust stabilization; parameter uncertainties
Abstract :
[en] The paper presents the robust stabilization problem of linear and nonlinear fractional-order systems with nonlinear uncertain parameters. The uncertainty in the model appears in the form of combination of additive perturbation and multiplicative perturbation. Sufficient conditions for robust stabilization of such linear and nonlinear fractional-order systems are presented in terms of linear matrix inequalities and using the new generalization of Gronwall-Bellman approach.
Disciplines :
Computer science
Identifiers :
UNILU:UL-CONFERENCE-2012-160
Author, co-author :
Ndoye, Ibrahima ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit ; University of Lorraine > Research Center for Automatic Control of Nancy (CRAN UMR, 7039, CNRS)
Zasadzinski, Michel
Darouach, Mohamed
Radhy, Nour-Eddine
Language :
English
Title :
Robust Stabilization of Linear and Nonlinear Fractional-Order Systems with Nonlinear Uncertain Parameters
Publication date :
2010
Event name :
49th IEEE Conference on Decision and Control
Event place :
Hilton Atlanta Hotel, Atlanta, United States - Georgia
Event date :
December 15-17, 2010
Audience :
International
Main work title :
49th IEEE Conference on Decision and Control (CDC), Hilton Atlanta Hotel, Atlanta, December 15-17, 2010
