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Synchronization of uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network and its application to secure communication

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Abstract

This paper presents a robust control method for synchronization of the uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network (SE-NT2FNN). The proposed SE-NT2FNNs are used for estimating the unknown functions in the dynamic of system. The effects of approximation error and external disturbance are eliminated by linear matrix inequality control scheme. The proposed SE-NT2FNN has one rule initially, the new rules and membership functions (MFs) are added based on the proposed simple algorithm and unnecessary rules and MFs are deleted. The proposed synchronization scheme is applied in a secure communication scheme. To show the effectiveness of the proposed method, three simulation examples are given. The results are compared with other methods, and it showed that the proposed control scheme results in the better performance than other methods.

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Authors and Affiliations

  1. Control Engineering Department, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Ardashir Mohammadzadeh & Sehraneh Ghaemi

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  1. Ardashir Mohammadzadeh
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  2. Sehraneh Ghaemi
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Correspondence to Sehraneh Ghaemi.

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Mohammadzadeh, A., Ghaemi, S. Synchronization of uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network and its application to secure communication. Nonlinear Dyn 88, 1–19 (2017). https://doi.org/10.1007/s11071-016-3227-x

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