分数阶非线性混沌系统的自适应滑模同步  

Self-Adaptive Sliding Mode Synchronization of Fractional-order Nonlinear Chaotic Systems

作　　者：王春彦[1] 邸金红[1] 毛北行[2] WANG Chunyan;DI Jinhong;MAO Beixing(School of Intelligent Engineering,Zhengzhou University of Aeronautics,Zhengzhou 450015,China;College of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院智能工程学院,河南郑州450015 [2]郑州航空工业管理学院数学学院,河南郑州450015

出　　处：《河南科技大学学报（自然科学版）》2021年第3期45-50,M0005,共7页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(71371173);河南省科技攻关计划基金项目(172102210080)。

摘　　要：研究了非线性分数阶混沌系统的滑模同步。给出分数阶、整数阶非线性混沌系统的控制设计方案,获得非线性不确定分数阶混沌系统自适应滑模同步的相关定理。结果表明:满足一定的假设条件,分数阶非线性混沌系统能取得自适应滑模同步。Self-adaptive sliding mode synchronization of nonlinear fractional-order chaotic systems was studied in this paper.The control cases of fractional-order and integer-order nonlinear chaotic system were given.The relevant theorems for achieving self-adaptive sliding-mode synchronization of nonlinear uncertain fractional-order chaotic systems were deduced.The results illustrate that nonlinear fractional-order chaotic systems can get self-adaptive sliding mode synchronization under certain conditions.

关 键 词：分数阶 不确定 自适应 滑模 同步 

分 类 号：O415.5[理学—理论物理]