分数阶双指数混沌系统的自适应滑模同步  

Self-adaptive Sliding Mode Synchronization of Fractional Order Dual-Exponential Chaotic System

作　　者：刘敬怀[1] 毛北行[1] LIU Jing-huai;MAO Bei-xing(Collge of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China)

机构地区：[1]郑州航空工业管理学院数学学院,河南郑州450046

出　　处：《数学的实践与认识》2020年第7期198-203,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11226337,51401182);航空科学基金(2017ZD55014);河南省高校重点科研项目(16A110024)资助的课题。

摘　　要：研究了分数阶双指数混沌系统的自适应滑模同步问题.通过设计滑模函数和控制器,构造了平方Lyapunov函数进行稳定性分析.利用Barbalat引理证明了同步误差渐近趋于零,获得了系统取得自适应滑模同步的充分条件.数值仿真结果表明:选取适当的控制器及与滑模函数,分数阶双指数混沌系统取得自适应滑模同步.The problem of self-adaptive sliding mode synchronization control of fractionalorder dual-exponential chaotic systems are studied.The sliding mode function and controller are designed.The system stability is analyzed by constructing a quadratic Lyapunov function.Based on Barbalat lemma,it is proved that the synchronization error tends to zero asymptotically,and the sufficient conditions are arrived for dual-exponential chaotic systems acquire self-adaptive sliding mode synchronization.The research conclusion illustrated the master-slave systems of fractional-order dual-exponential chaotic systems are adaptive sliding mode synchronization if chose proper controller and sliding mode function.

关 键 词：混沌同步 分数阶 双指数混沌系统 自适应 

分 类 号：O415.5[理学—理论物理] TP13[理学—物理]