多混沌系统自适应组合函数投影同步  

Adaptive combination function projective synchronization of multi-chaotic systems

作　　者：方洁[1] 娄新杰 方娜 邓玮[1] FANG Jie;LOU Xin-jie;FANG Na;DENG Wei(College of Electric and Information Engineering,Zhengzhou University of Light Industry,Zhengzhou 450002,China)

机构地区：[1]郑州轻工业学院电气信息工程学院,河南郑州450002

出　　处：《东北师大学报（自然科学版）》2020年第1期98-103,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61775198);河南省自然科学基金资助项目(162300410323);河南省科技攻关项目(192102210083,182102210160);河南省高等学校重点科研项目(20A413012).

摘　　要：将组合同步和函数投影同步相结合,研究了由3个混沌驱动系统和2个混沌响应系统组成的驱动—响应系统的组合函数投影同步问题.首先给出组合函数投影同步的定义,将驱动—响应系统的同步问题转化为误差系统零解的稳定性问题;然后基于Lyapunov稳定性理论和自适应控制方法,设计了非线性反馈同步控制器及参数自适应律,使得混沌驱动—响应系统按照相应的函数尺度因子矩阵实现同步;最后以Lorenz混沌系统、Chen混沌系统、Lü混沌系统作为驱动系统,以Tesi混沌系统、R ssler混沌系统作为响应系统,通过数值仿真验证了该同步控制方案的有效性.The combination function projective synchronization of three chaos drive systems and two chaos response system is researched in this paper.Firstly,the definition of combination function projective synchronization is presented,and synchronization of drive-response systems is transformed to the zero solution analysis of the error dynamical system.Secondly,a nonlinear feedback controller and parameter update law are theoretically designed based on Lyapunov stability theory and adaptive control,by which the drive systems and response system synchronization to desired function matrixes.Finally,combination function projective synchronization among the chaotic Lorenz system,Chen system,Lüsystem,Tesi system and R ssler system is carried out to verify the effectiveness of the proposed scheme by numerical simulation.

关 键 词：多混沌系统 组合函数投影同步 参数辨识 自适应控制 

分 类 号：TP217[自动化与计算机技术—检测技术与自动化装置]