摘要
以一类线性时滞系统为研究对象,研究了当观测误差与未知输入不能完全解耦时的未知输入观测器的设计问题.基于时滞系统Lyapunov稳定性方法,给出了观测器的存在条件,提出了含有内部时滞与不含有内部时滞两种观测器的设计问题.基于时滞系统的H∞控制理论,以线性矩阵不等式的形式设计了所提观测器.给出了观测器的设计方法,数值例子说明了方法的有效性.
The unknown input observer （UIO） design for a class of linear time -delay systems is dealt with when the observer error cant completely decouple from unknown input. A sufficient condition for the proposed observer is presented based on Lyapunov stability method in time - delay systems. Two design problems of the observer with internal delay and without internal delay are formulated. Based on H,, control theory in time - delay systems, the proposed observer is designed in term of linear matrix inequalities （LMI）. A design algorithm is proposed. The effec- tive of the proposed approach is illustrated by a numerical example.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2006年第1期45-49,共5页
Journal of Natural Science of Heilongjiang University
基金
国家杰出青年基金资助项目(69925368)
关键词
未知输入观测器
时滞系统
指数稳定
线性矩阵不等式
unknown input observer
time -delay systems
exponential stability
linear matrix inequalities
