Sprott-D不确定分数阶混沌系统的自适应滑模同步  

Adaptive Sliding Mode Synchronization of Sprott-D Uncertain Fractional-Order Chaotic Systems

作　　者：毛北行[1] 李德奎 王东晓[1] 王建军[1] MAO Beixing;LI Dekui;WANG Dongxiao;WANG Jianjun(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China;School of Public Health,Gansu University of Chi nese Medicine,Lanzhou 730000,China)

机构地区：[1]郑州航空工业管理学院数学学院,郑州450046 [2]甘肃中医药大学公共卫生学院,兰州730000

出　　处：《吉林大学学报（理学版）》2024年第5期1235-1240,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:12401655)。

摘　　要：基于非线性混沌系统滑模方法,根据分数阶稳定性理论和同步控制方法研究Sprott-D不确定分数阶系统的滑模控制与同步,并用MATLAB仿真程序对结果进行验证.结果表明,在一定的假设下,Sprott-D不确定分数阶混沌系统对应的主从系统可取得自适应滑模同步.Based on the sliding mode method of nonlinear chaotic systems,the sliding mode control and synchronization of Sprott-D uncertain fractional-order systems were studied according to the fractional-o rder stability theory and synchronous control method,and the results were verified by using MATLAB simulation program.The results show that the S prott-D uncertain fractional-order chaotic systems corresponding to the master-slave systems can achieve adaptive sliding mode synchronization under certain assumptions.

关 键 词：分数阶 Sprott-D系统 滑模 同步 

分 类 号：O482.4[理学—固体物理]