基于Takagi-Sugeno模糊模型的分数阶混沌系统的预测投影同步  

Predictive Projective Synchronization of Fractional-order Chaotic Systems Based on Takagi-Sugeno Fuzzy Models

作　　者：陈旭[1] 郑永爱[1] CHEN Xu;ZHENG Yongai(College of Information Engineering,Yangzhou University,Yangzhou 225127,China)

机构地区：[1]扬州大学信息工程学院,江苏扬州225127

出　　处：《信息与控制》2018年第5期559-563,共5页Information and Control

基　　金：国家自然科学基金资助项目(61374010;61472343;61473249)

摘　　要：研究了分数阶混沌系统的投影同步问题,基于Takagi-Sugeno(T-S)模糊模型和预测反馈控制,提出了一种新的实现分数阶混沌系统同步的模糊预测投影同步方法.利用分数阶李亚普诺夫直接方法,导出了分数阶混沌系统的投影同步准则.与现有的方法相比,该方法具有控制器结构简单,控制代价小及通用性强等特点,可适用于混沌研究文献中一大类分数阶混沌系统.通过对两个分数阶混沌系统的数值实验进一步验证了所提投影同步方法的有效性.In this study, we investigated the projective synchronization problem of fractional-order chaotic systems. Based on the Takagi-Sugeno （T-S） fuzzy model and prediction-based feedback control, we propose a new fuzzy predictive projective synchronization method for synchronizing fractional-order chaotic systems. To derive the predictive projective synchronization criteria of fractional-order chaotic systems, we use the fractional-order Lyapunov direct method. Compared with existing methods, this derived method has the advantages of a simple structure, low control cost and high generality. Furthermore, this method can be applied to a large class of fractional-order chaotic systems, as identified in the chaos research literature. We employ two fractional-order chaotic systems to demonstrate the effectiveness of the proposed projective synchronization method.

关 键 词：分数阶系统 混沌同步 Takagi-Sugeno(T-S)模糊模型 预测控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]