分数阶Victor-Carmen混沌系统的新型滑模同步方法  

New Sliding Mode Synchronization Methods For Fractional-order Victor-Carmen Chaotic Systems

作　　者：毛北行[1] MAO Bei-xing(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,河南郑州450015

出　　处：《控制工程》2021年第5期856-859,共4页Control Engineering of China

基　　金：国家自然科学基金资助项目(11801528,41906003)。

摘　　要：Victor-Carmen混沌系统引起了控制界的高度关注,利用新型滑模方法研究分数阶Victor-Carmen混沌系统同步的方法尚未被系统地研究过。基于一种新型滑模面研究了分数阶Victor-Carmen不确定混沌系统的同步,并依据滑模方法和分数阶微分相关理论得到分数阶Victor-Carmen不确定系统滑模同步的充分条件。结论表明,分数阶Victor-Carmen混沌系统在适当条件下是滑模同步的,最后借助MATLAB仿真软件对数值结果进行验证。Victor-Carmen chaotic systems have attracted much attention from the control community.The method of studying the synchronization of fractional-order Victor-Carmen chaotic systems using the new sliding mode method has not been systematically studied.The synchronization of fractional-order Victor-Carmen uncertain chaotic systems is studied based on a new type sliding mode surface method in this paper.Sufficient conditions are acquired for sliding mode synchronization of fractional-order Victor-Carmen uncertain systems based on sliding mode method and fractional-order differential theory.The results demonstrate that fractional-order Victor-Carmen chaotic systems are of sliding mode synchronization under certain conditions.Finally,the numerical results are verified by MATLAB simulation software.

关 键 词：新型滑模 分数阶 Victor-Carmen混沌系统 

分 类 号：O482.4[理学—固体物理]