中文摘要：

针对具有无穷分布时延的离散型的基于T-S模糊模型的非线性系统，通过对执行器故障特征分析，提出了新的满足故障区间概率分布的执行器故障模型。研究了执行器故障情况下的容错控制问题。根据Lyapunov稳定性理论和线性矩阵不等式方法，给出了故障分布依赖的均方稳定的容错控制器解的存在条件。最后，通过算例验证了本方法的有效性。

英文摘要：

Aiming at the nonlinear discrete system featuring infinite distributed delay and T-S fuzzy model, a new actuator fault model with interval-probabilistic distribution is proposed by analysing actuator fault features. By applying Lyapunov stability theory and linear matrix inequality （LMI） technology, the sufficient condition is given for the existence of fault tolerant control （FTC） based on fault-distribution and delay dependence with mean square stableness. An illustrative example is exploited to show the effectiveness of the proposed design procedures.