摘要
基于工程上广为应用的非线性鲁棒观测器思想,在随机扰动存在的情况下,对一类混沌系统成功地实现了同步。响应系统分两步进行设计,首先利用矩阵理论通过线性变换将受扰混沌系统进行扰动解耦,使系统部分状态与扰动无关,然后针对扰动解耦系统设计非线性观测响应系统。同时结合混沌吸引子有界性这一特点,将观测器存在条件化为求解系统的LMI,最终的仿真结果证明了该方法的有效性。
Based on nonlinear robust observer ideas, synchronization of a class of chaotic system is considered with random perturbation. Response system is designed by two steps. The first we use matrix theory to transform disturbed chaos system. By linear transformation the disturbed part of the chaotic model is separated from the undisturbed one and the nonlinear observer response system is designed for the transformed system. According to the performance of chaos, the existence condition of observer becomes the solution of LMI of chaos system. At last numerical example is illustrated and the simulation results verify the conclusion.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2004年第2期212-214,共3页
Systems Engineering and Electronics
基金
国家自然科学基金(60272031)
河北省自然科学基金(601225)资助课题
