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Wavelet Interval Type-2 Fuzzy Quad-Function-Link Brain Emotional Control Algorithm for the Synchronization of 3D Nonlinear Chaotic Systems
International Journal of Fuzzy Systems ( IF 4.3 ) Pub Date : 2020-10-07 , DOI: 10.1007/s40815-020-00941-7
Tuan-Tu Huynh , Chih-Min Lin , Tien-Loc Le , Ngoc Phi Nguyen , Sung-Kyung Hong , Fei Chao

This study provides a novel quad-function-link network to adjust the lower and upper weights of a wavelet interval type-2 fuzzy brain emotional structure to increase the response and performance for the synchronization of 3D nonlinear chaotic systems. The proposed control system is a hybrid method that comprises a new wavelet interval type-2 fuzzy quad-function-link brain emotional controller and a robust controller. It contains a fuzzy inference system and three substructures with five layers. The substructures are an amygdala, a prefrontal cortex, and a novel quad-function-link network that can adjust the weights efficiently for the amygdala and prefrontal cortex networks to achieve the synchronization of the master–slave systems well with reduced tracking errors. Then, a Lyapunov stability function is employed to provide the adaptive laws, and they are effectively used online to adjust the system parameters. Finally, simulation studies of two 3D nonlinear chaotic systems are used to verify the superiority and advantage of the proposed algorithm.



中文翻译:

3D非线性混沌系统同步的小波区间2型模糊四功能联动大脑情感控制算法

这项研究提供了一种新颖的四功能链接网络,用于调整小波区间2型模糊大脑情感结构的上下权重,以提高3D非线性混沌系统同步的响应和性能。所提出的控制系统是一种混合方法,包括一种新的小波区间2型模糊四功能链接大脑情绪控制器和鲁棒控制器。它包含一个模糊推理系统和五个子层的三个子结构。子结构是杏仁核,前额叶皮层和新颖的四功能链接网络,可以有效地调整杏仁核和前额叶皮层网络的权重,从而实现主从系统的同步,并减少跟踪误差。然后,使用Lyapunov稳定性函数提供自适应定律,并且可以有效地在线使用它们来调整系统参数。最后,通过对两个3D非线性混沌系统的仿真研究,验证了该算法的优越性和优越性。

更新日期:2020-10-07
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