Design of functional fractional-order observers for linear time-delay fractional-order systems in the time domain

Author

Boukal, Y. ; Darouach, M. ; Zasadzinski, M. ; Radhy, N.E.

Author_Institution

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

fYear

2014

fDate

23-25 June 2014

Firstpage

1

Lastpage

6

Abstract

This paper presents the functional observers design for linear fractional-order time-delay systems. Conditions for the existence of the these observers are given. Asymptotic stability of these observers are obtained from the fractional-order Lyapunov function. The gains of the observer are derived by using the linear matrix inequality approach. A numerical example is presented to illustrate our approach.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; delays; linear matrix inequalities; linear systems; observers; asymptotic stability; fractional-order Lyapunov function; functional fractional-order observers design; linear matrix inequality approach; linear time-delay fractional-order systems; observer gains; time domain; Asymptotic stability; Differential equations; Equations; Mathematical model; Observers; Stability analysis; Vectors; Fractional-order Time-Delay System; Functional Observer; Linear Matrix Inequality (LMI); Lyapunov stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on

Conference_Location

Catania

Type

conf

DOI

10.1109/ICFDA.2014.6967356

Filename

6967356