Sliding Mode Observer (SMO) based methods have been extensively used for Fault Estimation (FE). However, the fault detection (FD) problem for these SMO based FE methods has not been completely solved. In this paper a robust threshold on the so-called Equivalent Output Injection (EOI) is presented which enables FD for systems with measurement noise and unmatched uncertainties. This threshold is applicable to a large class of existing SMO based FE methods, and its applicability can easily be verified. Theoretical guarantees on the detection performance of this threshold are provided, and further demonstrated via a simulation study.

中文翻译：

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具有一阶滑模观测器的故障检测阈值设计

基于滑模观测器 (SMO) 的方法已广泛用于故障估计 (FE)。然而，这些基于 SMO 的 FE 方法的故障检测 (FD) 问题尚未完全解决。在本文中，提出了所谓的等效输出注入 (EOI) 的稳健阈值，该阈值使 FD 能够用于具有测量噪声和不匹配不确定性的系统。该阈值适用于现有的一大类基于 SMO 的有限元方法，其适用性很容易得到验证。提供了对该阈值的检测性能的理论保证，并通过模拟研究进一步证明。