研究含有测量时滞的线性离散系统的故障诊断问题,提出一种测量时滞的无时滞转换方法和基于降维状态观测器而不利用残差体现故障的故障诊断方法.首先通过构造一个含有故障状态的增广系统和进行测量时滞的无时滞转换,将时滞系统的故障诊断问题转化为无时滞增广系统的状态观测问题;然后给出了其诊断误差能按预先指定的指数速率趋于零的故障诊断器的设计方法.仿真算例验证了该方法的可行性和有效性. In this paper, the fault diagnosis of linear discrete systems with delay measurement is studied, a time-delay-free method to measure delay and a method of fault diagnosis based on dimensionless state observer without residual fault are proposed.Firstly, Fault state augmentation system and time-delay transformation without time delay, the fault diagnosis problem of time-delay system is transformed into the state observation problem of time-delay augmentation system. Then, the error of diagnosis can be calculated according to the pre-specified The design method of fault diagnosis device with exponential rate tends to zero.A simulation example is given to verify the feasibility and effectiveness of this method.