中文摘要：

本文主要研究一类离散时滞非线性广义系统的观测器设计问题.当状态变量不完全可获得时,利用线性矩阵不等式（LMI）方法,给出了系统的状态观测器设计,保证了误差系统全局渐近稳定,并且将结果推广到系统方程含有不确定性的情形.最后的仿真示例验证了该方法的可行性与有效性.

英文摘要：

The problem of observer designed for a class of discrete-time nonlinear singular systems with delay is concerned. When the states are not completely available,the method of linear matrix inequality （LMI） is employed to design a state observer for discrete singular systems such that the error system is globally asymptotically stable. Then, an extension of this method to singular systems with norm- bounded uncertainties is obtained. Finally, a numerical example is provided to illustrate the feasibility and the effectiveness of the proposed approach.