基于改进观测器的分数阶超混沌Chen系统广义同步  

Generalized Synchronization of Fractional Order Hyperchaotic Chen System with Improved Observer

作　　者：陈向荣[1] 刘崇新[1] 李永勋[1] 

机构地区：[1]西安交通大学电气工程学院

出　　处：《西安交通大学学报》2008年第2期238-242,共5页Journal of Xi'an Jiaotong University

摘　　要：基于分数阶微积分的预估-校正算法,研究了分数阶超混沌Chen系统,并进行了数值仿真.仿真结果表明,分数阶超混沌Chen系统存在超混沌的最低阶数为3.8阶.根据分数阶稳定性理论,设计了一种改进的状态观测器,利用解析的方法求得广义同步的响应系统,从理论上证明了广义同步方法的可行性.最后,利用该同步方法实现了3.8阶超混沌Chen系统的广义同步,数值仿真结果证实了它的有效性.Based on fractional calculus predictor-corrector algorithm, the fractional-order hyper-chaotic Chen system is investigated numerically, and the simulation results show that the lowest orders for hyperchaos in hyperchaotic Chen system gets 3.8. According to the stability theory of fractional-order system, an improved state-observer is designed,and the response system of generalized synchronization is obtained analytically, whose feasibility is proved theoretically. The synchronization method is adopted to realize the generalized synchronization of 3.8-order hyper-chaotic Chen system, and the numerical simulation results verify the effectiveness.

关 键 词：分数阶超混沌Chen系统 广义同步 观测器 

分 类 号：O415.5[理学—理论物理]