新四维超混沌系统自适应滑模同步  

Adaptive sliding mode synchronization of new 4-D hyper-chaotic systems

作　　者：程春蕊[1] 雷腾飞 毛北行[1] CHENG Chun-rui;LEI Teng-fei;MAO Bei-xing(College of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,Henan,China;School of Mechannical and Electrical Engineering,Qilu Institute of Technology,Jinan 250200,Shandong,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 [2]齐鲁理工学院机电工程学院,山东济南250200

出　　处：《西北师范大学学报（自然科学版）》2022年第1期32-36,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(NSFC11801528)。

摘　　要：研究新四维超混沌系统的自适应滑模同步问题.针对整数阶及分数阶新四维超混沌系统,分别给出控制律和滑模函数设计的方案,得到新四维超混沌系统取得自适应滑模同步的充分条件.研究结果表明,在一定条件下,新四维超混沌系统能取得自适应滑模同步,数值仿真结果验证了方法的有效性.This paper is concerned with adaptive sliding mode control synchronization problem for new four-dimensional hyper-chaotic systems.For the new four-dimensional superchaotic system of integer order and fractional order,sliding mode functions are introduced and control laws are designed.The sufficient conditions for adaptive sliding mode synchronization of the new four-dimensional chaotic system are obtained.The results show that the adaptive sliding mode synchronization for the new fourdimensional chaotic system can be achieved under certain conditions.A numerical simulation is presented to demonstrate the effectiveness of the proposed scheme.

关 键 词：新四维系统 超混沌 自适应控制 滑模同步 

分 类 号：TP399[自动化与计算机技术—计算机应用技术] O482.4[自动化与计算机技术—计算机科学与技术]