参数不确定的分数阶混沌系统的完全同步与参数辨识  

Parameters Identification and Synchronization of the Fractional-order Chaotic System with Uncertain Parameters

作　　者：朱涛[1] 张广军[1] 李睿[1] 王相波[1] 董俊[2] 

机构地区：[1]空军工程大学理学院,陕西西安710051 [2]空军第一航空学院,河南信阳464000

出　　处：《空军工程大学学报（自然科学版）》2014年第4期88-91,共4页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(2012JM80350)

摘　　要：针对分数阶liu混沌系统和参数不确定的分数阶混沌系统的完全同步和参数辨识问题进行研究。首先,基于稳定性理论与反馈控制思想设计同步控制器和估计变量演化规则,在控制器中引入时变增益和估计变量,以获得较好的同步响应速度,其次引用定理对所给同步方法进行理论分析;最后举出实例进行仿真验证。仿真结果表明,该方法能够使异结构混沌系统实现完全同步并可在同步的同时辨识出响应系统的不确定参数,此外由于给出的响应系统的3个实例方程相似,仅参数取值不同,因此该同步方法还可以通过改动响应系统的部分参数,使liu系统在3个不同的混沌系统之间实现同步切换。Parameters identification and complete synchronization between the fractional-order chaotic liu system and the factional-order chaotic system with uncertain parameters are investigated in this paper. Firstly,based on the stability theory a synchronistic controller containing a time-varied gain and an estimating variation is proposed,and the estimating variation is a kind of approaching continually to the true value of the uncertain parameters with time evolution.Secondly,the method of synchronization is proved.Finally,some examples are given for simulation and verification.The simulation results show that the parameters identification and the complete synchronization are realized simultaneously by using this method. Furthermore,the equations are identical and only the parameters are different in the three examples,and the switching synchronization can be realized between liu system and three different chaotic systems by altering partial parameters.

关 键 词：分数阶 混沌同步 参数辨识 时变增益 

分 类 号：TJ768.2[兵器科学与技术—武器系统与运用工程]