一类线性时滞系统的未知输入观测器设计

Design of unknown input observer for a class of linear time-delay systems

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完全解耦时的未知输入观测器设计问题。基于时滞系统Lyapunov稳定性方法,给出了指数稳定未知输入观测器的存在条件。基于这一条件,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。通过求解线性矩阵不等式给出了所提观测器的设计方法。给出了两种情形下的观测器设计算法。数值例子说明了提出的设计方法的有效性。

The design of the unknown input observer （UIO） for a class of linear time-delay systems when the observer error can be completely decoupled from the unknown input is presented. A sufficient condition for its existence is presented based on Lyapunov stabilization method in time-delay systems. Two design problems of the observer with and without internal delay are formulated based on this condition. The proposed observer is designed in terms of linear matrix inequality （LMI）. Design algorithms are proposed for two cases. The effectiveness of the proposed approach is illustrated by a numerical example.