Explicit Formulas for the Equivalence Between Fault Detection Filters and Observers

• 成果类型: Article
• 署名作者: Henry, David
• 署名单位: Universite de Bordeaux
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3340559
• 发表日期: 2024
• 页码: 3473-3479
• 关键词: Observers; fault detection; Matrix decomposition; Matrix converters; mathematical models; Generators; Eigenvalues and eigenfunctions; H-infinity/H- _ filters; fault detection filters; fault estimators; observers; residual generators

摘要

This article establishes the explicit formulas for the equivalence between fault detection filters and observers. The method relies on solving a Sylvester equation, the Schur decomposition, and algebraic manipulations. The equivalence being demonstrated valid from a generic point of view, it is shown that H-infinity,H_,H-2,and H-2g robust residual generators and H-infinity\mu fault estimators are particular cases. A numerical example and a realistic satellite's example illustrate the equivalence.