Modified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption

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NADERI BASHIR; KHEIRI HOSSEIN; Vafaei Vajiheh

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Paper Information

Journal: THE ISC INTERNATIONAL JOURNAL OF INFORMATION SECURITY Year:2020 | Volume:12 | Issue:1 Page(s): 55-66

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Title

Modified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption

Author(s)

NADERI BASHIR | KHEIRI HOSSEIN | Vafaei Vajiheh | Issue Writer Certificate

Keywords

Fractional-order Systems

Chaos

Sliding-mode Control

Synchronization

Secure Communication

Abstract

In this study, we propose a Secure Communication scheme based on the Synchronization of two identical fractional-order chaotic systems. The fractional-order derivative is in Caputo sense, and for Synchronization, we use a robust Sliding-mode Control scheme. The designed sliding surface is taken simply due to using special technic for Fractional-order Systems. Also, unlike most manuscripts, the fractional-order derivatives of state variables can be chosen differently. The stability of the error system is proved using the Lyapunov stability of Fractional-order Systems. Numerical simulations illustrate the ability and effectiveness of the proposed method. Moreover, Synchronization results are applied to Secure Communication using the masking method. The security analysis demonstrates that the introduced algorithm has a large keyspace, high sensitivity to encryption keys, higher security, and the acceptable performance speed.

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APA: Copy

NADERI, BASHIR, KHEIRI, HOSSEIN, & Vafaei, Vajiheh. (2020). Modified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption. THE ISC INTERNATIONAL JOURNAL OF INFORMATION SECURITY, 12(1 ), 55-66. SID. https://sid.ir/paper/743386/en

Vancouver: Copy

NADERI BASHIR, KHEIRI HOSSEIN, Vafaei Vajiheh. Modified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption. THE ISC INTERNATIONAL JOURNAL OF INFORMATION SECURITY[Internet]. 2020;12(1 ):55-66. Available from: https://sid.ir/paper/743386/en

IEEE: Copy

BASHIR NADERI, HOSSEIN KHEIRI, and Vajiheh Vafaei, “Modified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption,” THE ISC INTERNATIONAL JOURNAL OF INFORMATION SECURITY, vol. 12, no. 1 , pp. 55–66, 2020, [Online]. Available: https://sid.ir/paper/743386/en

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