摘要
研究分数阶大气混沌系统的滑模同步问题,设计了分数阶滑模函数和控制律,获得了系统取得比例积分滑模同步的充分性条件.证明了在一定条件下,分数阶大气混沌系统能够达到比例积分滑模同步.利用Matlab进行数值仿真,验证了设计方案的有效性.
The problem of sliding mode synchronization of fractional-order atmospheric chaotic systems is studied.The fractional-order sliding mode function and control laws are designed and the sufficient conditions are arrived for fractionalorder atmospheric chaotic systems acquiring ratio integral sliding mode synchronization.It is proved that fractional-order atmospheric chaotic systems are ratio sliding mode synchronization under certain conditions.Matlab is used for numerical simulation,and the validity of the design scheme is verified.
作者
王东晓
WANG Dongxiao(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China)
出处
《天津师范大学学报（自然科学版）》
CAS
北大核心
2019年第5期35-38,共4页
Journal of Tianjin Normal University：Natural Science Edition
基金
国家自然科学青年基金资助项目(11501525)
河南省软科学研究计划资助项目(142400411192)
关键词
分数阶
大气混沌系统
比例积分滑模同步
fractional-order
atmospheric chaotic system
ratio-integral sliding mode synchronization
