分数阶不确定四翼混沌系统的自适应滑模同步  

Adaptive synchronization of fractional-order four-wings chaotic systems with uncertainties based on sliding mode control

作　　者：程春蕊 朱军辉 王东晓 CHENG Chunrui;ZHU Junhui;WANG Dongxiao(College of science, Zhengzhou University of Aeronautics, Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院理学院,郑州450015

出　　处：《华中师范大学学报（自然科学版）》2018年第2期155-159,共5页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(NSFC11501525);河南省科技厅软科学项目(142400411192);河南省高等学校重点科研项目(16B110014;17A110034)

摘　　要：基于自适应滑模方法研究了一类不确定分数阶四翼混沌系统的同步控制问题.分数阶导数采用Caputo的定义,通过设计非奇异的分数阶滑模面和控制器,给出了系统取得同步的充分性条件.研究表明,选取适当的分数阶滑模面及控制器,不确定分数阶四翼混沌系统的主从系统能取得混沌同步;文中给出了严格的数学证明和推理过程,数值仿真表明了方法的有效性.A sliding mode controller is proposed for the adaptive synchronization of a class of fractional-order four-wings chaotic systems with uncertainties.The Caputo＇s fractional derivative is adopted.A non-singular fractional-order sliding surface is introduced and a fractional-order controller is created to obtain the sufficient conditions for chaotic systems.Research shows that the chaos synchronization is achieved for masterslave systems of fractional-order uncertainty four-wings chaotic systems when proper fractional-order sliding mode surface and controllers chosen.In the paper the strict proof and reasoning process are given and a numerical simulation is presented to verifies the efficacy of the scheme presented.

关 键 词：分数阶系统 四翼混沌系统 滑模 同步 自适应控制 

分 类 号：O482.4[理学—固体物理]