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.
作者
王晓东
毛北行
陈灿
WANG Xiaodong;MAO Beixing;CHEN Can(School of mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
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)。
关键词
分数阶滑模面
Rikitake系统
滑模同步
fractional-order sliding mode surfaces
Rikitake systems
sliding mode synchronization
