基于TS模型的分数阶混沌系统同步  

Synchronization of the fractional order chaotic systems based on TS models

作　　者：仲启龙[1] 邵永辉[1] 郑永爱[1] 

机构地区：[1]扬州大学信息工程学院,江苏扬州225127

出　　处：《扬州大学学报（自然科学版）》2014年第3期46-49,58,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(61074129)

摘　　要：提出一种基于TS模糊模型的分数阶混沌系统的同步算法.利用TS模型将分数阶混沌系统模糊化,设计并行分布式补偿模糊控制器,以线性矩阵不等式的形式给出分数阶混沌系统同步的充分条件,将模糊控制器的设计问题转化为求解线性矩阵不等式问题,并通过Matlab数值仿真验证了该方法的可行性和有效性.The synchronization of fractional order chaotic systems based on TS fuzzy models is inves- tigated in this paper. The fractional order chaotic systems are modeled using TS fuzzy models. The fuzzy controller using parallel distributed compensation is designed. A sufficient condition is formu- lated in the format of linear matrix inequalities for the synchronization of the fractional order chaotic systems. The problem of designing the fuzzy controller is converted into solving the linear matrix inequality. Numerical simulation by Matlab verifies the feasibility and effectiveness of the method.

关 键 词：分数阶混沌系统 TS模糊模型 模糊控制 线性矩阵不等式 混沌同步 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]