两类不确定高阶非线性系统自适应滑模同步  

Adaptive Sliding Mode Synchronization of two Kinds of Integer-order Uncertain High-Order Nonlinear Systems

作　　者：孟晓玲[1] 毛北行[1] MENG Xiao-ling;MAO Bei-xing(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：《数学的实践与认识》2020年第20期156-161,共6页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金基金(41906003,11801528)。

摘　　要：研究两类不确定高阶非线性混沌系统的自适应滑模同步.分别给出了两类不确定高阶非线性混沌系统滑模函数的设计及控制器和自适应规则的构造,得到两类高阶不确定混沌系统取得自适应滑模同步的两个充分性条件.结论表明:设计合适的滑模面控制器和适应律两类高阶非线性混沌系统的主从系统取得自适应滑模同步,利用仿真实例检验了所得结论的正确性.Adaptive sliding mode synchronization of two kinds of uncertain high-order nonlinear systems were studied in the paper.Sliding mode functions were designed and controllers and adaptive rules were derived.And the sufficient conditions were arrived for two kinds of uncertain high-order uncertain nonlinear chaotic systems getting adaptive sliding mode synchronization.The conclusions demonstrated that the master-slave system of two kinds of uncertain high-order uncertain nonlinear chaotic systems were adaptive sliding mode synchronization if design proper sliding mode functions and controllers and adaptive rules.A numerical simulation demonstrate the correctness of the conclusions.

关 键 词：高阶系统 非线性 自适应 滑模 同步 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]