超混沌Liu系统的控制  

Control of Hyperchaotic Liu Dynamical System

作　　者：黄娟娟[1] 

机构地区：[1]盐城师范学院数学科学学院,江苏盐城224051

出　　处：《沈阳化工学院学报》2008年第2期166-171,共6页Journal of Shenyang Institute of Chemical Technolgy

基　　金：江苏省高等学校自然科学研究计划资助项目(NO.07KJD110233)

摘　　要：研究了新的超混沌Liu系统的控制问题.基于Routh-Hurwitz判据和Lyapunov稳定性理论,用不同方法控制超混沌Liu系统到唯一的不稳定的平衡点.在参数已知和未知情况下分别采用单一的线性反馈控制、非线性控制和自适应控制方法实现混沌控制.对于参数未知时,给出参数自适应律,识别系统的未知参数.最后仿真结果表明设计的控制器是有效的.The problem of chaos control of hyperchaotic Liu system is studied. Based on Routh-Hurwitz criteria and Lyapunov stability theory, different methods are presented to control the hyperchaotic Liu system to only one unstable equilibrium. When the parameters are known in advance, one single linear controller is designed. And the parameters are unknown, the analytical expression of controllers and adaptive law of parameters is given, which makes the system stable to equilibrium and identify the unknown parameters. The Matlab software is used to proved the effectiveness of these methods by simulation resuits.

关 键 词：超混沌Liu系统 Routh-Hurvdtz判据 LYAPUNOV函数 自适应控制 

分 类 号：O231.2[理学—运筹学与控制论] TP273.2[理学—数学]