一类参数周期未知的自适应广义投影同步  

A Class of Adaptive Generalized Projective Synchronization with Unknown Parameter Periods

作　　者：李永军[1] 陶冲[2] 

机构地区：[1]河南大学物理与电子学院,河南开封475001 [2]天津理工大学天津智能计算及软件新技术重点实验室,天津300384

出　　处：《河南大学学报（自然科学版）》2015年第1期84-89,共6页Journal of Henan University:Natural Science

基　　金：国家自然科学基金(60872064);天津市高等学科科技发展基金资助项目(20071308)

摘　　要：针对一类时变参数周期未知的自适应广义投影同步问题,提出了基于切换逻辑的周期辨识算法.该算法首先假定已知时变参数周期,设计控制器和时变参数自适应律.然后设计合理的切换逻辑,通过判定相邻两次迭代的平均误差定位时变参数周期范围,再通过累积跟踪误差定位时变参数周期,最终完成两个混沌系统的投影同步.通过构造Lyapunov-Krasovskii泛函,证明了系统的跟踪误差收敛于零,而且保证所有信号均有界.仿真结果说明了算法的有效性.For a class of adaptive generalized projective synchronization with unknown time-varying parameter periods,a period identification algorithm based on switching logic is proposed in this paper.The algorithm firstly assumed the known periods of time-varying parameters,and designed the adaptive controller and the time-varying parameter adaptive law.Through designing the reasonable switching logic,and positioning the periods range of timevarying parameter by the average error between two iterations,as well as the periods of time-varying parameters by the accumulative tracking error,the synchronization of two chaotic systems is completed finally.By constructing a Lyapunov-Krasovskii functional,the conclusion is that the tracking error converges to zero on finite time interval and all signals are bounded.The simulation results illustrate the effectivcness of the proposed algorithm in this paper.

关 键 词：参数周期未知 广义投影同步 切换逻辑 LYAPUNOV-KRASOVSKII泛函 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]