Abstract In this paper, the problems of robust finite-time fault-tolerant stochastic stability and stabilization of networked control systems (NCSs) in the presence of random delays and actuator faults are investigated. First, sensor-to-controller and controller-to-actuator random delays are modeled as a Markov chain. Since in the network environment, the accurate access to the transition probabilities (TPs) of Markov chain is hard or even impossible, TPs information is limited. Then, by considering actuator fault indicator matrix and employing the state augmentation technique, the resulting closed-loop system is transformed into a Markovian jump system (MJS). Based on this model, the sufficient conditions are developed to ensure the finite-time fault-tolerant stochastic stability of the faulty NCS, and the fault-tolerant controllers are designed by solving a feasibility problem in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed approach is illustrated during the simulation of a numerical example. Moreover, the faulty behavior of a continuous-stirred tank reactor (CSTR) is investigated and the applicability of the proposed method is demonstrated.

中文翻译：

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具有随机延迟的网络控制系统的鲁棒有限时间容错控制：马尔可夫跳跃系统方法

摘要 在本文中，研究了网络控制系统（NCS）在存在随机延迟和执行器故障的情况下的鲁棒有限时间容错随机稳定性和稳定性问题。首先，传感器到控制器和控制器到执行器的随机延迟被建模为马尔可夫链。由于在网络环境中，很难甚至不可能准确获取马尔可夫链的转移概率（TPs），因此TPs信息是有限的。然后，通过考虑执行器故障指示器矩阵并采用状态增强技术，将所得闭环系统转换为马尔可夫跳跃系统（MJS）。基于该模型，开发了保证故障NCS有限时间容错随机稳定性的充分条件，容错控制器是通过解决线性矩阵不等式 (LMI) 的可行性问题来设计的。在数值例子的模拟过程中说明了所提出方法的有效性。此外，研究了连续搅拌釜式反应器 (CSTR) 的故障行为，并证明了所提出方法的适用性。