Abstract

In this paper, we consider the problem of the functional diagnosis of technical systems described by linear differential equations of state with constant coefficients in the presence of disturbances. Sliding mode observers are used to solve problems of detecting, isolating, and identifying faults. The proposed approach is based on the idea of constructing a reduced (having a smaller dimension) model of the original system with the selective sensitivity to faults and disturbances, based on which a sliding mode observer is built. Depending on the specific properties of the constructed model, three options (in each of which a diagnostic problem is solved): accurate fault identification, fault detection, and approximate fault identification are considered. Apart from reducing the complexity of diagnostic tools, the proposed approach allows reducing the limitations imposed on the original system for constructing sliding mode observers.

中文翻译：

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基于滑模观测器的线性系统诊断

摘要

在本文中，我们考虑在存在干扰的情况下，由具有常数系数的状态的线性微分方程描述的技术系统的功能诊断问题。滑模观察器用于解决检测，隔离和识别故障的问题。所提出的方法基于以下构想：构造具有对故障和干扰的选择性敏感性的原始系统的简化（尺寸较小）模型，并以此为基础构建滑模观测器。根据所构建模型的特定属性，考虑了三个选项（分别解决了诊断问题）：准确的故障识别，故障检测和近似的故障识别。除了降低诊断工具的复杂度之外，