不确定连续非线性系统逆混沌反控制  

Nonlinear system inverse chaos anti-control with uncertainties

作　　者：宋运忠[1] 赵光宙[1] 齐冬莲[1] 

机构地区：[1]浙江大学系统科学与工程系

出　　处：《浙江大学学报（工学版）》2006年第3期474-477,共4页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(60374013);浙江省自然科学基金资助项目(M603217;Y104414)

摘　　要：针对一类非线性不确定系统的混沌反控制,提出非线性不确定系统鲁棒混沌反控制的逆系统方法.由微分跟随器、积分逆系统和滤波器实现自适应逆混沌反控制器.通过微分跟随器提取混沌参考系统状态和受控系统状态,依照跟踪性能要求设计期望的动态系统,借助逆系统理论得到受控系统确定阶的逆,考虑幅值、相位调整和噪声抑制的需要设计滤波器.该方法使受控系统状态跟踪已知混沌参考系统状态.结果表明,该方法输出微分跟随器对受控对象动态特性不确定性可以进行高精度实时提取,控制器设计不受李雅普诺夫指数配置求取和受控系统模型的约束.Aimed at chaos anti-control of a class of nonlinear system with uncertainties, an inverse system method of robust chaos anti-control was put forward. Adaptive inverse chaos anti-control was realized by tracking differentiators, integrating inverse system and filtering. After states of reference chaos system and the controlled system were obtained through tracking differentiators, the expected dynamic system was designed according to tracking performance demands, and certain order inverse of the controlled system was constructed by using inverse system theory. A filter was designed based on the requirements of magnitude, phase adjustments and noise cancellation, and the controlled system states were forced to track the states of reference chaos system. The results show that the dynamic uncertainties of the controlled system can be determined precisely in real-time by the output tracking differentiator precisely. The controller design is free of the constraints of Lyapunov exponents＇ allocation and the model of the controlled system.

关 键 词：混沌 混沌反控制 微分跟随器 逆系统方法 鲁棒控制 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]