Robust Stabilization of Linear and Nonlinear Fractional-Order Systems with Nonlinear Uncertain Parameters
English
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)]
49th IEEE Conference on Decision and Control (CDC), Hilton Atlanta Hotel, Atlanta, December 15-17, 2010
4275-4280
Yes
International
978-1-4244-7744-9
49th IEEE Conference on Decision and Control
December 15-17, 2010
Hilton Atlanta Hotel, Atlanta
GA
[en] Nonlinear fractional-order systems ; generalization of Gronwall-Bellman lemma ; linear matrix inequality (LMI) ; robust stabilization ; parameter uncertainties
[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.