分数阶不确定非线性系统的自适应滑模同步  

Self-Adaptive Sliding Mode Synchronization of Fractional-Order Uncertain Nonlinear Chaotic Systems

作　　者：杨永[1] 毛北行[1] 张巧[1] YANG Yong;MAO Bei-xing;ZHANG Qiao(College of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China)

机构地区：[1]郑州航空工业管理学院数学学院,河南郑州450046

出　　处：《数学的实践与认识》2021年第10期204-210,共7页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金(11801528,41906003);航空科学基金(2016ZG55019);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)。

摘　　要：根据自适应滑模理论研究一类高阶整数阶、高阶分数阶非线性混沌系统的同步,得到主从系统获得自适应滑模同步的充分相关结论,结论表明:满足一定的假设条件,整数阶和分数阶非线性混沌系统是自适应滑模同步的.Self-adaptive sliding mode synchronization of integer-order and fractional-order nonlinear chaotic system has been studied.The sufficient conditions had been arrived for integer-order and fractional-order uncertain nonlinear chaotic systems getting sliding mode synchronization by funding sliding mode functions,controllers and self-adaptive rules.The research conclusion illustrated that integer-order and fractional-order uncertain nonlinear chaotic systems are self-adaptive sliding mode synchronization if choose proper controllers and sliding mode surfaces.

关 键 词：自适应 非线性系统 滑模 同步 

分 类 号：O415.5[理学—理论物理]