不确定整数阶和分数阶Rossler混沌系统的自适应滑模同步  

Adaptive sliding mode synchronization of uncertain integer-order and fractional-order Rossler systems

作　　者：程春蕊[1] 毛北行[1] CHENG Chunrui;MAO Beixing(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,河南郑州450015

出　　处：《安徽大学学报（自然科学版）》2020年第3期43-49,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金青年科学基金资助项目(11801528);河南省高等学校重点科研项目(17A110034)。

摘　　要：提出不确定整数阶和分数阶R?ssler混沌系统的自适应滑模同步方法,构造新型的非奇异终端滑模面,设计鲁棒滑模控制律,使具有模型不确定性和外部扰动的R?ssler混沌系统同步.从理论上证明整数阶和分数阶误差系统具有稳定性.数值仿真结果表明所提方法是有效的.The adaptive sliding mode synchronization approach for uncertain integer and fractional-order R?ssler chaotic systems was proposed.To synchronize R?ssler chaotic systems in the presence of both model uncertainties and external disturbances,a novel nonsingular terminal sliding mode surface was constructed,and a robust sliding mode control law was designed.The stability of integer and fractional-order error systems was proved theoretically.Numerical simulation results demonstrated that the proposed method was effective.

关 键 词：分数阶系统 ROSSLER系统 滑模 自适应控制 

分 类 号：O482.4[理学—固体物理]