分数阶多混沌系统滑模同步两种方法的比较  

Two Methods Contrast of Sliding Mode Synchronization of Fractional-Order Multy-Chaotic Systems

作　　者：毛北行[1] MAO Bei-xing(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou,Henan 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：《电子学报》2020年第11期2215-2219,共5页Acta Electronica Sinica

基　　金：国家自然科学青年基金(No.11801528,No.41906003);航空科学基金(No.2016ZG55019);河南省高校重点基础研究专项(No.20ZX003);河南省大学生创新创业训练计划(No.S201910485026)。

摘　　要：研究分数阶多混沌系统滑模同步两种方法的比较.分别设计了分数阶滑模面和非奇异终端滑模面,并证明了其稳定性.基于自适应方法设计了控制器和适应规则,得到分数阶多混沌系统取得滑模同步的两个充分条件.并用数值仿真对结论进行了验证.Two methods contrast of sliding mode synchronization of fractional-order nonlinear systems were studied in the paper.We proposed fractional-order sliding surface and nonsingular terminal sliding surface and prove its stability.The controllers and adaptive rules are derived based self-adaptive sliding mode methods.And the sufficient conditions were arrived for fractional-order Multy-Chaotic systems getting self-adaptive sliding mode synchronization.A numerical simulation demonstrate the correctness of the conclusion.

关 键 词：自适应 非线性 滑模 同步 

分 类 号：O482.4[理学—固体物理]