外部扰动下四维超混沌金融系统的完全同步问题  

Complete synchronization of a four-dimensional hyperchaotic finance system with external disturbance

作　　者：王仲连 郭荣伟[1] WANG Zhonglian;GUO Rongwei(School of Mathematics and Statistics,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China)

机构地区：[1]齐鲁工业大学(山东省科学院)数学与统计学院,山东济南250353

出　　处：《齐鲁工业大学学报》2023年第2期33-38,共6页Journal of Qilu University of Technology

基　　金：山东省自然科学基金面上项目(ZR2020MA031)。

摘　　要：利用基于扰动估计器的控制方法研究了四维超混沌金融系统的完全同步问题。受UDE思想的启发,对于常数类型的有界外部扰动和多项式乘三角函数类型的无界外部扰动,分别设计了相应的滤波器,均实现了该系统的完全同步问题。与以前的结果相比,首次解决了某种无界外部扰动下的鲁棒控制问题。数值仿真结果验证了理论结果的正确性和有效性。Complete synchronization of a four-dimensional chaotic financial system is studied by using a disturbance estimator-based control method.Inspired by the UDE idea,two filters are designed for the constant type of external disturbance and polynomial multiplying trigonometric function type of unbounded external disturbance,and the complete synchronization problem of this system is implemented.Compared with the previous results,this paper solves the robust control problem under unbounded external disturbance for the first time.The numerical simulation results verify the correctness and validity of the theoretical results.

关 键 词：UDE 扰动 不确定性 完全同步 鲁棒性 

分 类 号：O151.23[理学—数学]