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Optimal type-2 fuzzy synchronization of two different fractional-order chaotic systems with variable orders with an application to secure communication

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Abstract

In this paper, the synchronization problem of two different fractional-order chaotic systems has been investigated. Variable fractional orders are considered in this problem. An optimal synchronization strategy is defined for the fractional case. The optimality conditions are obtained using the fuzzy modeling of fractional-order systems. These models are with the type-1 and type-2 Takagi–Sugeno structures. Also, using chaotic masking, the synchronization method is applied for secure communication. Finally, using the simulation examples, the performance of the proposed method is shown.

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Authors and Affiliations

  1. Department of Electrical Engineering, Islamic Azad University South Tehran Branch, Tehran, Iran

    Ali Soleimanizadeh & Mohammad Ali Nekoui

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  1. Ali Soleimanizadeh
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  2. Mohammad Ali Nekoui
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Correspondence to Mohammad Ali Nekoui.

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Soleimanizadeh, A., Nekoui, M.A. Optimal type-2 fuzzy synchronization of two different fractional-order chaotic systems with variable orders with an application to secure communication. Soft Comput 25, 6415–6426 (2021). https://doi.org/10.1007/s00500-021-05636-1

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