This article is concerned with observer-based fault estimation (FE) and tolerant controller design for a series of discrete-time Takagi_Sugeno (T_S) fuzzy stochastic systems. There exist multiple time-varying state delays, intermittent sensor and actuator faults, nonlinear dynamics, and exogenous disturbances in the systems. Compared with the results of the existence, this approach suggested in this article is more flexible and feasible. By means of the FE information, a novel fuzzy adaptive descriptor observer is developed to obtain the error dynamics. Then, an active observer-based fault-tolerant controller is designed to stabilize the closed-loop fuzzy system. Furthermore, a set of delay-dependent sufficient conditions are provided by the fuzzy Lyapunov function with the way of linear matrix inequalities (LMIs), which has less conservatism compared with the ones of the existing observers and fault-tolerant controllers. Finally, a simulation example is shown to illustrate the advantages and effectiveness of this approach depicted in this article.

中文翻译：

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具有间歇传感器和执行器故障的离散时间多重时滞模糊随机系统的故障估计和容错控制


本文关注一系列离散时间 Takagi_Sugeno (T_S) 模糊随机系统的基于观测器的故障估计 (FE) 和容错控制器设计。系统中存在多个时变状态延迟、间歇性传感器和执行器故障、非线性动力学和外源干扰。与已有的结果相比，本文提出的方法更加灵活可行。利用有限元信息，开发了一种新颖的模糊自适应描述符观测器来获取误差动态。然后，设计了一种基于主动观测器的容错控制器来稳定闭环模糊系统。此外，模糊Lyapunov函数以线性矩阵不等式(LMI)的方式提供了一组时滞相关的充分条件，与现有的观测器和容错控制器相比保守性较差。最后，通过一个仿真示例来说明本文所述方法的优点和有效性。