Minimal Detectable and Isolable Faults of Active Fault Diagnosis

• 成果类型: Article
• 署名作者: Xu, Feng
• 署名单位: Tsinghua University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3148305
• 发表日期: 2023
• 页码: 1138-1145
• 关键词: Fault diagnosis; Economic indicators; actuators; computational modeling; uncertainty; Phase frequency detectors; Couplings; Active fault diagnosis (AFD); bounded uncertainties; minimal detectable and isolable (MDI) faults; Set theory

摘要

This article aims to compute guaranteed minimal detectable and isolable faults of set-based active fault diagnosis methods for discrete linear time-invariant systems. First, guaranteed detectable and isolable faults of set-based active fault diagnosis methods are defined in this article. Second, an augmented vector is defined to integrate the effect of both inputs and faults such that the couplings of inputs and faults can be handled effectively. Third, guaranteed minimal detectable and isolable faults are computed by solving a mixed integer quadratic fractional programming problem under a proposed theoretic framework. At the end of this article, an example is used to illustrate the effectiveness of the proposed solution.