Synchronization of the fractional-order chaotic Chua´s system via sliding mode observer

Author

Djennoune, Said ; Guermah, S. ; Si-Ammour, A. ; Hamiche, H. ; Feddal, L. ; Merbouti, S.

Author_Institution

Lab. de Conception et Conduite des Syst. de Production, Univ. Mouloud Mammeri, Tizi-Ouzou, Algeria

fYear

2013

fDate

29-31 Oct. 2013

Firstpage

111

Lastpage

116

Abstract

In this paper, we present a secured data transmission system based on synchronization of two fractional-order chaotic systems. First, the chaotic behavior of the fractional-order Chua´s system is analyzed by varying the order of derivative of the state variables. Next, a step-by-step sliding mode observer is proposed to obtain robust synchronization of two fractional-order Chua´s systems. The finite time convergence of the estimation error is established. The efficiency of the proposed synchronization method and the performance of the secured transmission based on the inclusion of the message in the system dynamics are illustrated by numerical simulations.

Keywords

chaos; cryptography; data communication; observers; variable structure systems; chaos-based encryption systems; chaotic behavior; estimation error finite time convergence; fractional-order chaotic Chua system synchronization; secured data transmission system; state variables; step-by-step sliding mode observer; system dynamics; Chaotic communication; Convergence; Observers; Receivers; Synchronization; Transmitters;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Control (ICSC), 2013 3rd International Conference on

Conference_Location

Algiers

Print_ISBN

978-1-4799-0273-6

Type

conf

DOI

10.1109/ICoSC.2013.6750844

Filename

6750844