Observer-based control for fractional-order continuous-time systems

Author

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

Author_Institution

Centre de Rech. en Autom. de Nancy, Nancy Univ., Cosnes et Romain, France

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

1932

Lastpage

1937

Abstract

In this paper, we study the asymptotic stabilization of fractional-order systems using an observer-based control law. The fractional-order systems under consideration are either linear or nonlinear and affine. A generalization of Gronwall-Bellman which is proved in the appendix is used to derive the closed-loop asymptotic stability.

Keywords

asymptotic stability; closed loop systems; continuous time systems; linear systems; nonlinear control systems; observers; closed-loop asymptotic stability; fractional-order continuous-time systems; linear control; nonlinear control; observer-based control law; Asymptotic stability; Automatic control; Biological system modeling; Cells (biology); Control systems; Displays; Nonlinear control systems; Nonlinear systems; Observers; Symmetric matrices; Linear and nonlinear fractional-order systems; generalization of Gronwall-Bellman lemma; observer-based control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400443

Filename

5400443