Sliding observer for synchronization of fractional order chaotic systems with mismatched parameter

• Autorzy: Hadi Delavari , Danial Senejohnny , Dumitru Baleanu
• Języki publikacji: EN

Abstrakty

EN

In this paper, we propose an observer-based fractional order chaotic synchronization scheme. Our method concerns fractional order chaotic systems in Brunovsky canonical form. Using sliding mode theory, we achieve synchronization of fractional order response with fractional order drive system using a classical Lyapunov function, and also by fractional order differentiation and integration, i.e. differintegration formulas, state synchronization proved to be established in a finite time. To demonstrate the efficiency of the proposed scheme, fractional order version of a well-known chaotic system; Arnodo-Coullet system is considered as illustrative examples.

Słowa kluczowe

EN

chaos synchronization; fractional calculus; sliding observer; finite hitting time

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 5
• Strony: 1095-1101

Daty

wydano

2012-10-01

online

2012-11-21

Twórcy

autor

Hadi Delavari

• Department of Electrical Engineering, Hamedan University of Technology, Hamedan, 65155, Iran,

autor

Danial Senejohnny

• Young Researchers club, Central Tehran Branch, Islamic Azad University, Tehran, Iran,

autor

Dumitru Baleanu,

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Identyfikatory

DOI

10.2478/s11534-012-0073-4