Diagnosis of time-delay fractional systems using observer-based methods
type: Item
instance of: scholarly article
title: Diagnosis of time-delay fractional systems using observer-based methods
zbMATH Open document ID: 1441.34080
DOI: 10.1504/IJDSDE.2020.106028
author: Halima Atitallah
author: Asma Aribi
author: Mohamed Aoun
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2020-04-07T00:00:00Z
review text: Summary: In this paper, two model-based methods are considered for the diagnosis of time-delay fractional systems. Time-delay fractional Luenberger observer without unknown input and time-delay fractional unknown input observer are developed and used for fault detection and isolation. A single observer scheme is needed for fault detection and a bank of generalized (respectively dedicated) observers is required for fault isolation. A theoretical study investigating the convergence condition for each observer-based method in terms of matrix inequalities is presented. Residual sensitivities to faults and to disturbances are studied. Time-delay fractional unknown input observer parameters are computed to obtain structured residuals. This observer ensures unknown input decoupling from the state which results residual insensitive to unknown inputs. Two numerical examples to validate the efficiency of the proposed approaches are given.
Mathematics Subject Classification ID: 34K27
Mathematics Subject Classification ID: 93B53
Mathematics Subject Classification ID: 68M15
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 7186977
zbMATH Keywords: Luenberger observer
zbMATH Keywords: unknown input observer
zbMATH Keywords: diagnosis
zbMATH Keywords: time-delay fractional system
zbMATH Keywords: fault detection
zbMATH Keywords: fault isolation
MaRDI profile type: Publication
full work available at URL: ijdsde.2020.106028
OpenAlex ID: W4239211021
description: scientific article; zbMATH DE number 7186977