基于未知参数观测器的Liu混沌系统参数辨识  

Identification of parameters in Liu chaos systems using unknown parameter observers

作　　者：王绍明[1] 岳超源[1] 罗海庚[1] 

机构地区：[1]华中科技大学控制科学与工程系,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2007年第6期47-49,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：湖北省教育厅科学技术重点资助项目(D200560001);国家自然科学基金资助项目(60474011)

摘　　要：研究了Liu混沌系统的参数辨识问题.将混沌系统的未知参数看成系统的状态变量,根据状态观测器思想和微分方程的稳定性理论,提出了选择增益函数和构造相应的辅助函数的一般方法,解决了混沌系统的非线性部分未知参数观测器的设计问题.分别对Liu混沌系统第2个和第3个微分方程中的非线性部分的未知参数设计了观测器,对未知参数进行了辨识.用Matlab软件进行了数值仿真,结果表明该未知参数观测器的设计方法是有效的可行的.该方法可推广到任何混沌系统的参数辨识.How to identify parameters of Liu chaos system was discussed. Taken unknown parameters of the chaotic system as state variables, Guan et al＇s work was improved on the basis of the observer philosophy and stability theory of deferential equations. General methods for choosing an appropriate gain function and construct corresponding auxiliary function are proposed to design the observer for the unknown parameters of nonlinear part in chaos system. The observers for the unknown parameters of nonlinear part in the second and third equations of Liu chaos system were designed to identify the unknown parameters. The simulations by Matlab demonstrate that the method for unknown parameters is effective and feasible, and can be extended to parameter identification of any chaos system.

关 键 词：参数辨识 混沌系统 观测器 

分 类 号：N945.14[自然科学总论—系统科学]