分数阶不确定Rikitake系统的滑模同步  

Sliding mode synchronization of fractional-order Rikitake systems

作　　者：王晓东[1] 毛北行[1] 陈灿 WANG Xiaodong;MAO Beixing;CHEN Can(School of mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院数学学院,郑州450015

出　　处：《扬州大学学报（自然科学版）》2021年第2期7-10,49,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学青年基金资助项目(11801528,41906003)。

摘　　要：利用积分滑模方法,研究不确定分数阶Rikitake系统的滑模同步,提出分数阶滑模面的构造与控制器的设计方案,获得Rikitake主从系统取得滑模同步的2个充分条件.研究结果表明,通过设计适当的滑模函数与控制器,不确定分数阶Rikitake的主从系统可取得滑模同步.Sliding mode synchronization of uncertainty fractional-order Rikitake systems are studied using sliding mode method.And fractional-order sliding mode surfaces and controllers are designed.Two sufficient conditions are arrived for Rikitake systems getting sliding mode synchronization.The research conclusion shows that the master-slave systems of uncertainty fractional-order Rikitake systems are sliding mode synchronization if proper sliding mode functions and controllers are designed.

关 键 词：分数阶滑模面 Rikitake系统 滑模同步 

分 类 号：O415.5[理学—理论物理]