分数阶超混沌系统的模糊控制和同步  

Fuzzy control and synchronization for fractional-order hyperchaotic systems

作　　者：刘健辰[1] 谭文[1] 

机构地区：[1]湖南科技大学信息与电气工程学院,湖南湘潭411201

出　　处：《计算机工程与应用》2007年第34期196-199,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(the National Natural Science Foundation of China under Grant No.60375001);福建省自然科学基金(the Natural Science Foundation of Fujian Province of China under Grant No.2006J0017);湖南省教育厅青年基金资助课题(No.05B016);湖南省教 育厅资助项目(No.B30534);福建省青年科技人才创新项目(No.2005J048)。

摘　　要：采用分数阶T-S模糊模型对分数阶超混沌系统建模,采用并行分布补偿方法设计模糊控制器,通过适当设置状态反馈矩阵使得闭环极点位于稳定区域内,从而保证闭环系统满足渐近稳定性条件,通过设置同步状态反馈矩阵实现两个具有不同初始条件的分数阶Rossler超混沌系统的同步,数值仿真结果表明该方案的效果十分理想。The fractional-order hyperchaotic systems are modeled using fractional-order T-S fuzzy model.The fuzzy state feedback controller is designed by using parallel distributed compensation technique.The closed loop poles are placed inside the stability cone through setting the state feedback matrix properly,which guarantees the stability condition of closed loop systems.The syn- chronization of two fractional Rossler hyperchaotic systems with different initial states is achieved through setting the synchronization state feedback matrix.The effectiveness of the proposed scheme is demonstrated by numerical simulation results.

关 键 词：分数阶混沌系统 Rossler超混沌系统 模糊控制 混沌同步 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]