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, By Ardashir Mohammadzadeh

Research

Title	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
Type	Article
Keywords	Self-evolving algorithmNon-singleton type-2 fuzzy neural networkRobust LMI-based controlFractional-order hyperchaotic
Researchers	Ardashir Mohammadzadeh، Sehraneh Ghaemi

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.