基于自适应模糊控制方法的四翼混沌系统有限时间同步  

Finite-time Synchronization of Four-wings Chaotic Systems based on Adaptive Fuzzy Control Approach

作　　者：林福宁 薛广明 粟光旺 张晶华[1,2] LIN Fu-ning;XUE Guang-ming;SU Guang-wang;ZHANG Jing-hua(School of Information and Statistics,Guangxi University of Finance and Economics,Nanning 530003,China;Guangxi Key Laboratory of Cross-border Ei-commerce Intelligent Information Processing,Guangxi University of Finance and Economics,Nanning 530003,China;College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710119,China)

机构地区：[1]广西财经学院信息与统计学院,广西南宁530003 [2]广西财经学院广西跨境电商智能信息处理重点实验室,广西南宁530003 [3]陕西师范大学数学与信息科学学院,陕西西安710119

出　　处：《数学的实践与认识》2021年第5期228-237,共10页Mathematics in Practice and Theory

基　　金：广西自然科学基金(2020GXNSFAA297010);广西高校中青年教师科研基础能力提升项目(2019KY0669,2020KY16018)。

摘　　要：研究了一类带有未知外部摄动的四翼混沌主从系统的有限时间同步控制问题.首先,基于自适应模糊控制方法,对四翼混沌系统的不确定项进行了处理.其次,基于Lyapunov有限时间稳定性准则,设计了一种有限时间同步控制器,使得主系统与从系统能在有限时间内实现状态同步.最后,通过数值仿真,检验了该方法的有效性和鲁棒性.The problem of finite-time synchronization control for a class of four-wings chaotic master-slave systems with unknown external disturbances is studied in this paper.Firstly,the uncertainties of the four-wings chaotic systems are dealt with by virtue of the adaptive fuzzy control approach.Secondly,based on Lyapunov’s finite-time stability criterion,a finitetime synchronization controller is designed,which enables the state synchronization between the master system and the slave one can be accomplished in a limited time.Finally,the effectiveness and robustness of the proposed approach are verified by numerical simulation.

关 键 词：四翼混沌系统 模糊控制 自适应控制 有限时间同步 LYAPUNOV稳定性 

分 类 号：O415.5[理学—理论物理] TP273[理学—物理]