基于有限时间观测器的混沌系统同步  

Synchronization of Chaotic System Based on Finite-time Observer

作　　者：吴忠强[1] 李洁[1] 

机构地区：[1]燕山大学工业计算机控制工程河北省重点实验室,河北秦皇岛066004

出　　处：《控制工程》2010年第1期28-30,34,共4页Control Engineering of China

基　　金：国家留学基金资助项目(2004813033)

摘　　要：根据有限时间稳定的定义,对混沌系统引入了有限时间观测器的概念,采用有限时间观测器实现混沌系统的同步,保证在给定的有限时间区间内,观测器状态与被观测系统的状态误差被限制在一个给定界内,从而达到观测系统状态的目的。利用线性矩阵不等式的方法,将观测器存在条件转化为求解系统的线性矩阵不等式。讨论了混沌系统同步的有限时间观测器的存在条件,并给出了观测器的具体设计。通过对Duffing-Holmes系统的同步仿真,验证了该方法的有效性。According to the concept of finite-time stability, the finite-time observer is introduced to deal with the synchronization problems of the chaotic systems. The synchonization error of the state variables can be convergence to a finite hounder in finite-time. The existence conditions of observer are reduced to feasibility problems involving linear matrix inequalities. The existence condition of the finite-time observer of the chaotic systems is obtained and the state observer design is given out. The simulation of the Duffing-Holmes chaotic system shows the effectiveness of the proposed method.

关 键 词：混沌系统 有限时间观测器 误差系统 混沌同步 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]