针对一类广义不确定时滞Markov跳变系统,应用鲁捧控制理论分析重构的增广系统,获取了系统的故障检测滤波器,利用构造的随机Lyapunov-Krasovskii函数和线性矩阵不等式,证明并给出了故障检测滤波器有解的充分条件和优化设计方法,同时使得残差体现其对扰动的抑制作用和对故障的灵敏性,所设计的滤波器使系统具有随机稳定性,抑制干扰能力强,满足所给的范数指标,仿真算例对结果进行了验证,在故障信息发生时,故障检测滤波器可以很灵敏地检测出故障,并能有效地抑制未知扰动对残差的影响在给定的范围内。 For a class of generalized uncertain time-delay Markov transition systems, the augmented system is analyzed by using the robust control theory and the fault detection filter of the system is obtained. Using the constructed random Lyapunov-Krasovskii function and the linear matrix inequality, The sufficient conditions and optimal design method of the fault detection filter are given. At the same time, the residuals show the restraining effect on the disturbance and the sensitivity to the fault. The designed filter makes the system stochastic stability and interference suppression Strong, to meet the given norm index, simulation results verify the results of the failure information, the fault detection filter can be very sensitive to detect failures, and can effectively suppress the impact of unknown disturbance on the residual at Given range.