RESEARCH PAPER
Diagnosis of Discrete-Time Singularly Perturbed Systems Based on Slow Subsystem
1
Unité de Recherche MACS, Ecole Nationale d'Ingénieurs de Gabès, Avenue Omar Ibn El Khattab - Zerig - 6029 Gabès, University of Gabès, Tunisia
2
Institut Supérieur des Etudes Technologiques de Djerba, Avenue 7 novembre - 4116 Midoun Jerba, Tunisia
3
Institut Supérieur des Systèmes Industriels de Gabès, Rue, Slaheddine El Ayoubi – 6032 Gabès, University of Gabès, Tunisia
4
Ecole Nationale d'lngénieurs de Gabès, Avenue Omar Ibn El Khattab - Zerig - 6029 Gabès, University of Gabès, Tunisia
Online publication date: 2015-01-27
Publication date: 2014-12-01
Acta Mechanica et Automatica 2014;8(4):175-180
KEYWORDS
Discrete-Time Singularly Perturbed SystemTwo Time Scales PropertyModel Based Fault DiagnosisParity Space ApproachSlow Subsystem
ABSTRACT
This paper deals with the diagnosis of discrete-time singularly perturbed systems presenting two time scales property. Parity space method is considered to generate the fault detection residual. The focus is in two directions. First, we discuss the residual illconditioning caused by the singular perturbation parameter. Then, the use of the slow subsystem is considered to make the fault diagnosis easier. It is shown that the designed diagnostic algorithm based on reduced order model is close to the one synthesized using the full order system. The developed approach aims at reducing the computational load and the ill-conditioning for stiff residual generation problem. Two examples of application are used to demonstrate the efficiency of the proposed method.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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