具有外扰和不确定项的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 Chao tic Systems with Outer Disturbances and Uncertainty

作　　者：毛北行[1] 王东晓[1] MAO Beixing;WANG Dongxiao(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数学学院,郑州450015

出　　处：《吉林大学学报（理学版）》2020年第5期1237-1242,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金青年基金(批准号:11801528,41906003);航空科学基金(批准号:2016ZG55019);河南省高校重点基础研究专项基金(批准号:20ZX003);郑州航空工业管理学院青年骨干教师资助项目.

摘　　要：研究非线性分数阶混沌系统的自适应滑模同步,同时考虑外扰和不确定项的影响,给出滑模函数和控制器的构造及自适应规则,得到分数阶非线性混沌系统自适应滑模同步的充分条件,将相同阶的相关结论推广到不同阶情形,并用MATLAB数值仿真检验结论的正确性.We studied self-adaptive sliding mode synchronization of fractional-order nonlinear chaotic system,and considered the outer disturbances and uncertainty.We gave the construction and self-adaptive rules of sliding mode functions and controllers,and obtained the sufficient conditions for self-adaptive sliding mode synchronization of fractional-order nonlinear chaotic systems.The conclusions of the same order were extended to different cases,and the correctness of the conclusions was verified by using MATLAB numerical simulations.

关 键 词：分数阶 非线性 滑模 同步 

分 类 号：O482.4[理学—固体物理]