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

Ibrahima N'Doye (1) , Michel Zasadzinski (1) , Mohamed Darouach (1) , Nour-Edine Radhy

1 CRAN - Centre de Recherche en Automatique de Nancy

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.

Mots clés: Nonlinear fractional-order systems; generalization of Gronwall-Bellman lemma; linear matrix inequality (LMI); robust stabilization; parameter uncertainties

Domaines: Automatique / Robotique

Ibrahima N'Doye, Michel Zasadzinski, Mohamed Darouach, Nour-Edine Radhy. Robust stabilization of linear and nonlinear fractional-order systems with nonlinear uncertain parameters. 49th IEEE Conference on Decision and Control, CDC 2010, Dec 2010, Atlanta, United States. pp.CDROM. ⟨hal-00499592⟩