In this article, the equivalent control strategy based on Laplace transform is proposed for the problem of stochastic delay in networked control systems. The original system is transformed into an equivalent control system without random delay block by Laplace transform. Then, a new augmented variable and equivalent control system is introduced to construct an augmented system. An adaptive fault diagnosis observer is designed based on the augmented system. The adaptive turning rate of the observer is obtained by solving the corresponding linear matrix inequality. Based on the information of online fault diagnosis and state estimation, a fault-tolerant controller based on PI control strategy is designed to compensate the fault. Finally, a model of the switched reluctance motor system is considered to show the effectiveness of this method.

中文翻译：

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不确定网络控制系统的故障诊断与容错控制

本文针对网络控制系统中的随机延迟问题，提出了基于拉普拉斯变换的等效控制策略。通过拉普拉斯变换将原系统转化为无随机延迟块的等效控制系统。然后，引入新的增广变量和等价控制系统来构建增广系统。基于增强系统设计了自适应故障诊断观测器。通过求解相应的线性矩阵不等式得到观测器的自适应转向率。基于在线故障诊断和状态估计信息，设计了一种基于PI控制策略的容错控制器对故障进行补偿。最后，考虑一个开关磁阻电机系统的模型来证明该方法的有效性。