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

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.