An LMI approach to design robust fault detection filter for uncertain LTI systems.
type: Item
instance of: scholarly article
title: An LMI approach to design robust fault detection filter for uncertain LTI systems.
zbMATH Open document ID: 1036.93061
DOI: 10.1016/S0005-1098(02)00269-8
author: Maiying Zhong
author: Steven X. Ding
author: James Lam
author: Haibo Wang
published in: Automatica
publication date: 2003-04-27T00:00:00Z
review text: The robust fault detection filter design problem for uncertain linear time-invariant (LTI) systems with both unknown inputs and modelling errors is studied. The basic idea is to use an optimal residual generator (assuming no modelling errors) as the reference residual model of the robust fault detection filter design for uncertain LTI systems with modelling errors and, based on it, to formulate the robust fault detection filter design as an \(H_\infty\) model-matching problem. A solution of the optimization problem is presented. The main results include the development of an optimal reference residual model, the formulation of the robust fault detection filter design problem, the derivation of a sufficient condition for the existence of a robust fault detection filter and a construction of it based on the linear matrix inequality solution parameters, and the determination of an adaptive threshold for fault detection. An illustrative numerical example is given.
reviewed by: Vyacheslav A. Vasiliev
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 1900995
zbMATH Keywords: robustness
zbMATH Keywords: fault detection filter
zbMATH Keywords: model matching
zbMATH Keywords: linear matrix inequality
MaRDI profile type: Publication
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Q4231134
cites work: Enhancement of robustness in observer-based fault detection†
cites work: Robust residual generation for diagnosis including a reference model for residual behavior
full work available at URL: s0005-1098(02)00269-8
OpenAlex ID: W1984240524
description: scientific article; zbMATH DE number 1900995