研究一类离散线性时滞系统的H∞可靠性控制问题.提出了具有实际意义的服从某种概率分布的随机故障模型,根据Lyapunov稳定性理论和线性矩阵不等式(LMI)方法,给出了故障分布依赖的H∞均方指数稳定且具有H∞范数界γ的容错控制器解的存在条件.最后,通过算例验证了该方法的有效性. The problem of H∞ reliability control for a class of discrete-time linear systems with time-delay is studied. A practical stochastic fault model that obeys a certain probability distribution is proposed. According to the Lyapunov stability theory and the linear matrix inequality (LMI) method, The existence condition of the fault-tolerant controller with distributed H∞ mean square index with stable H∞ norm boundary γ is given.Finally, the effectiveness of the proposed method is verified by an example.