基于未知参数混沌的变轴自适应旋转同步  

Adaptive rotation synchronization of variable axis based on unknown parameter chaos

作　　者：许梓杰 李丹 王尔馥[1] XU Zi-Jie;LI Dan;WANG Er-Fu(School of Electronic Engineering,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学电子工程学院,哈尔滨150080

出　　处：《黑龙江大学工程学报（中英俄文）》2023年第3期37-46,F0003,共11页Journal of Engineering of Heilongjiang University

基　　金：国家自然科学基金项目(61102071);黑龙江省自然科学基金引导项目(LH2019F048)。

摘　　要：目前,被广泛应用的完全同步方案存在着控制参数空间小、系统复杂度低等问题。针对该问题并根据罗德里格斯旋转公式设计一种可变轴旋转同步方法。对该方法中响应系统存在的不可避免的参数未知情况进行了研究,并采用基于自适应同步的方式设计参数辨识控制律,对未知参数进行辨识估计。结合上述方案,对基于未知参数情况下混沌系统的变轴自适应旋转同步的设计方案进行研究。基于该同步方法,引入时变量,进一步构建时变轴自适应旋转同步方法。分别对以上方法进行数值仿真,以验证方法的有效性。Aiming at the problems existing in the current complete synchronization scheme which was widely applied in the chaotic synchronization scheme,such as relatively small control parameter space,relatively low system complexity.A variable axis rotation synchronization method based on the generalized synchronization principle and Rodrigues rotation formula was designed.In addition,the inevitable situation of unknown parameters in the response system in this method was researched,and the parameter identification control law based on adaptive synchronization is designed to identify and estimate the unknown parameters.Combined with the above scheme,the design scheme of variable-axis adaptive rotation synchronization of chaotic system based on unknown parameters was studied.Based on this synchronization method,an adaptive rotation synchronization of time-varying axis method is further constructed by introducing time variables.And the numerical simulation of the above methods was carried out to verify the effectiveness of the above methods.

关 键 词：混沌同步 自适应同步 广义同步 旋转同步 

分 类 号：TP237[自动化与计算机技术—检测技术与自动化装置]