分数阶高阶不确定系统的自适应反演滑模同步  

Self-Adaptive Back Stepping Sliding Mode Synchronization of Fractional-Order High-Order Uncertain Systems

作　　者：范贺花[1] 周永卫[1] FAN He-hua;ZHOU Yong-wei(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16期219-225,共7页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金(11801528);航空科学基金(2016ZG55019,2017ZD55004);河南省科技攻关计划(182102110129);河南省教育厅自然科学基金(16A630061);河南省高校重点基础研究专项(20ZX003);河南省大学生创新创业训练计划(S201910485026);郑州航院青年基金(2017113001)。

摘　　要：基于自适应反演滑模同步方法研究分数阶不确定高阶非线性混沌系统的同步问题,给出子系统的Lyapunov函数和虚拟控制,在反演设计中引入滑模函数和控制器及自适应规则得到分数阶不确定非线性混沌系统取得自适应反演滑模同步的充分条件,并把该结论平推到整数阶系统.Synchronization problem of fractional-order uncertain nonlinear system has been studied based on self-adaptive back stepping sliding mode synchronization approaches.And subsystem Lyapunov function was constructed and the virtual input was designed in the back stepping procedure.The sufficient conditions had been arrived for fractional-order uncertain nonlinear systems getting self-adaptive back stepping sliding mode synchronization.And the conclusion was extended to integer-order systems.

关 键 词：分数阶 不确定 反演滑模 同步 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]