Robust stabilization of linear and nonlinear fractional-order systems with nonlinear uncertain parameters

Author

N´Doye, Ibrahima ; Zasadzinski, Michel ; Darouach, Mohamed ; Radhy, Nour-eddine

Author_Institution

Centre de Rech. en Autom. de Nancy (CRAN), Nancy Univ., Longwy, France

fYear

2010

fDate

15-17 Dec. 2010

Firstpage

4275

Lastpage

4280

Abstract

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.

Keywords

linear matrix inequalities; linear systems; nonlinear control systems; perturbation techniques; robust control; uncertain systems; Gronwall-Bellman approach; additive perturbation; linear fractional order system; linear matrix inequality; multiplicative perturbation; nonlinear fractional order system; nonlinear uncertain parameter; robust stabilization; Laplace equations; Linear matrix inequalities; Robust stability; Robustness; Stability criteria; Symmetric matrices; Nonlinear fractional-order systems; generalization of Gronwall-Bellman lemma; linear matrix inequality (LMI); parameter uncertainties; robust stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2010 49th IEEE Conference on

Conference_Location

Atlanta, GA

ISSN

0743-1546

Print_ISBN

978-1-4244-7745-6

Type

conf

DOI

10.1109/CDC.2010.5717008

Filename

5717008