不确定参数时滞混沌系统的自适应反同步  

Anti-Synchronization for Class of Delayed Chaotic Systems with Uncertain Parameters

作　　者：郑珍[1] 谭满春[1] 

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《计算机仿真》2012年第12期207-210,共4页Computer Simulation

基　　金：广东省科技计划项目(2009B011400046)

摘　　要：研究超混沌系统的反同步问题,针对一类异结构参数不确定存在时滞超混沌系统的反同步问题,提出了一种设计控制律的新方法。以李雅普诺夫稳定性理论为基础,通过自适应控制法设计了非线性控制器和参数自适应律,实现含不确定参数的时滞混沌系统的反同步控制,并运用拉萨尔不变集理论建立的李亚普诺夫稳定性原理证明了误差系统是渐近稳定的。最后,利用MATLAB对超混沌Lu系统与超混沌Chen系统的数值仿真,验证了所提出方法的有效性和正确性。The research of chaotic system is carryied out broadly at home and abroad. This paper is concerned with anti - synchronization of a class of delayed hyper chaotic systems with uncertain parameters and different structures. A new method was proposed to design control law. Based on the Lyapunov stability theory, suitable nonlinear controller and adaptive law of parameters were designed to realize the anti - synchronization by the adaptive controlling method. Based on the LaSalle＇s invariant principle, it was proved that the dynamics of the error is asymptotically stable by Lyapunov theory. At last, numerical simulation for hyper chaotic Lu and Chen system was provided to test the effectiveness and correctness of the proposed sheme by MATLAB.

关 键 词：时滞混沌系统 反同步 自适应控制方法 不确定参数 

分 类 号：O231.2[理学—运筹学与控制论] TP301.5[理学—数学]