基于新型趋近律的参数未知分数阶Rucklidge系统的滑模同步  

Sliding mode synchronization of fractional-order Rucklidge systems with unknown parameters based on a new type of reaching law

作　　者：王春彦[1] 邸金红[1] 毛北行[2] WANG Chunyan;DI Jinhong;MAO Beixing(School of Intelligent Engineering,Zhengzhou University of Aeronautics,Zhengzhou 450015,Henan,China;College of Mathemtics,Zhengzhou University of Aeronautics,Zhengzhou 450015,Henan,China)

机构地区：[1]郑州航空工业管理学院智能工程学院,河南郑州450015 [2]郑州航空工业管理学院数学学院,河南郑州450015

出　　处：《山东大学学报（工学版）》2020年第4期40-45,共6页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(71371173);河南省科技攻关计划资助项目(172102210080)。

摘　　要：利用分数阶微积分理论,基于一种新型趋近律研究不确定分数阶Rucklidge混沌系统的自适应滑模同步问题,根据滑模同步方法给出驱动-响应系统获得滑模混沌同步的充分条件。研究表明:在选取适当的控制器以及滑模函数条件下,驱动-响应系统获得滑模同步,数值仿真表明该方法具有可行性和有效性。The problem of self-adaptive sliding mode synchronization of uncertainty fractional-order Rucklidge systems based on a new reaching law was studied with the fractional-order calculus theory.The sufficient conditions were concluded for drive-response systems to get sliding mode chaos synchronization by sliding mode approach.It was proved that drive-response systems were chaos synchronization under proper controllers and sliding mode function.Numerical simulations results verified the feasibility and effectiveness of the proposed method.

关 键 词：分数阶Rucklidge系统 自适应滑模 混沌同步 新型趋近律 

分 类 号：O415.5[理学—理论物理]