分数阶Brussel混沌系统的终端滑模控制

Terminal Sliding Mode Synchronization Control of Fractional-Order Brussel Systems

【目的】研究分数阶Brussel系统的滑模同步控制问题。【方法】利用终端滑模控制研究方法给出主从系统实现滑模混沌同步的充分条件。【结果】构建适当的控制律以及自适应控制律下,主从Brussel系统取得混沌同步,仿真算例表明结果正确。【结论】一定条件下分数阶Brussel混沌系统的主从系统能够取得终端滑模同步。

[Purposes]To investigate the problem of terminal sliding mode chaos synchronization of a class of fractional-order Brussel systems.[Methods]The sufficient conditions are concluded for master-slave systems getting sliding mode chaos synchronization using terminal sliding mode approaches.[Findings]It is proved that master-slave systems are sliding mode chaos synchronization under proper controllers and self-adaptive law.Numerical simulations examples of chaotic system verify the effectiveness of the proposed method.[Conclusions]Under certain conditions,the fractional-order Brussel master-slave sytems are sliding mode terminal synchronization.