Fuzzy control and synchronization for fractional-order hyperchaotic systems

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (34): 196-199.

• 工程与应用 • Previous Articles Next Articles

Fuzzy control and synchronization for fractional-order hyperchaotic systems

LIU Jian-chen,TAN Wen

School of Information and Electric Engineering，Hunan University of Science and Technology，Xiangtan，Hunan 411201，China

Received:1900-01-01 Revised:1900-01-01 Online:2007-12-01 Published:2007-12-01
Contact: LIU Jian-chen

分数阶超混沌系统的模糊控制和同步

刘健辰,谭文

湖南科技大学信息与电气工程学院，湖南湘潭 411201

通讯作者: 刘健辰

Abstract

Abstract: 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 synchronization 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.

Key words: fractional-order chaotic system, Rossler hyperchaotic system, fuzzy control, chaos synchronization

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。

关键词: 分数阶混沌系统, Rossler超混沌系统, 模糊控制, 混沌同步

LIU Jian-chen,TAN Wen. Fuzzy control and synchronization for fractional-order hyperchaotic systems[J]. Computer Engineering and Applications, 2007, 43(34): 196-199.

刘健辰,谭文. 分数阶超混沌系统的模糊控制和同步[J]. 计算机工程与应用, 2007, 43(34): 196-199.

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Fuzzy control and synchronization for fractional-order hyperchaotic systems

分数阶超混沌系统的模糊控制和同步

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