This paper focuses on the fault diagnosis problem for a class of semilinear distributed parameter systems with actuator and sensor. To diagnose the actual fault, a fault estimator is designed by using an introduced virtual fault for this system. Based on the semigroup theory and λ-norm, the residual signal is used in the PD-type iterative learning control scheme to regulate the introduced virtual fault, making the virtual fault track the practical fault. Then, the goal of fault diagnosis is obtained. Finally, the effectiveness of the proposed method is tested on a Fisher equation and applied to a class of typical chemical industry processes.

中文翻译：

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基于迭代学习控制的带执行器/传感器的半线性分布参数系统故障诊断

本文重点研究了一类具有执行器和传感器的半线性分布参数系统的故障诊断问题。为诊断实际故障，利用引入的虚拟故障为该系统设计了故障估计器。基于半群理论和λ-范数，在PD型迭代学习控制方案中利用残差信号对引入的虚拟故障进行调控，使虚拟故障跟踪实际故障。从而达到故障诊断的目的。最后，在Fisher方程上测试了该方法的有效性，并将其应用于一类典型的化工过程。