变分数阶不确定混沌系统的有限时间自适应滑模投影同步  

Finite-time adaptive sliding mode projective synchronization of variable fractional order uncertain chaotic systems

作　　者：章安 郑永爱[1] ZHANG An;ZHENG Yongai(College of Information Engineering,Yangzhou University,Yangzhou225127,China)

机构地区：[1]扬州大学信息工程学院,江苏扬州225127

出　　处：《安徽大学学报（自然科学版）》2024年第3期25-32,共8页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61973266)。

摘　　要：研究变分数阶不确定混沌系统的有限时间自适应滑模投影同步问题.利用变分数阶微积分的性质,建立变分数阶有限时间收敛原理.设计变分数阶滑模面和自适应滑模控制器,得到变分数阶不确定混沌系统有限时间投影同步的充分条件,推导出投影同步时间的上界.仿真结果表明论文所设计控制器的有效性和鲁棒性.The problem of finite-time adaptive sliding mode projective synchronization of variable fractional order uncertain chaotic systems was investigated.Using the properties of variable fractional order calculus,the finite-time convergence principle of variable fractional order was established.The sufficient conditions for finite-time projective synchronization of variable fractional order uncertain chaotic systems were obtained by designing variable fractional order sliding mode surface and adaptive sliding mode controller.The upper bound of projective synchronization time was derived.The simulation results demonstrated the effectiveness and robustness of the controller designed in this paper.

关 键 词：变分数阶混沌系统 滑模控制 自适应控制 有限时间同步 

分 类 号：O415[理学—理论物理]