Fault Diagnosis of Discrete-Time Linear Systems Using Continuous Time Delay Petri Nets

This paper deals with fault diagnosis of a linear continuous variable dynamical system represented by a discrete state space model. The proposed fault diagnoser is based on a special Petri Net called Continuous Time Delay Petri Net (CTDPN). Thanks to the theorem presented in this paper, an exact cor...

Full description

Bibliographic Details
Main Author: Sobhi Baniardalani
Format: Article
Language:English
Published: University of Sistan and Baluchestan 2020-01-01
Series:International Journal of Industrial Electronics, Control and Optimization
Subjects:
Online Access:https://ieco.usb.ac.ir/article_4980_7589d3a60e42dd57c87e7a56682a2ca8.pdf
_version_ 1811305891358572544
author Sobhi Baniardalani
author_facet Sobhi Baniardalani
author_sort Sobhi Baniardalani
collection DOAJ
description This paper deals with fault diagnosis of a linear continuous variable dynamical system represented by a discrete state space model. The proposed fault diagnoser is based on a special Petri Net called Continuous Time Delay Petri Net (CTDPN). Thanks to the theorem presented in this paper, an exact correspondence between discrete-state space equations and fundamental equations of the CTDPN can be established. Based on this theorem, a systematic method is presented for realization of classical parity equations by a CTDPN that plays the role of the fault diagnoser. By integrating the concept of state space models and Petri Nets in this paper, new and effective methods can be proposed for analyzing and fault diagnosis of hybrid systems. Finally, the performance of the proposed method is investigated for fault diagnosis of a DC motor. The results show that with the help of proposed Petri net, fault diagnosis can be done well and traditional diagnoser can be replaced with this network.
first_indexed 2024-04-13T08:34:33Z
format Article
id doaj.art-721ffa6b9cfd4f13847746b6b6cd7442
institution Directory Open Access Journal
issn 2645-3517
2645-3568
language English
last_indexed 2024-04-13T08:34:33Z
publishDate 2020-01-01
publisher University of Sistan and Baluchestan
record_format Article
series International Journal of Industrial Electronics, Control and Optimization
spelling doaj.art-721ffa6b9cfd4f13847746b6b6cd74422022-12-22T02:54:09ZengUniversity of Sistan and BaluchestanInternational Journal of Industrial Electronics, Control and Optimization2645-35172645-35682020-01-0131819010.22111/ieco.2019.28395.11304980Fault Diagnosis of Discrete-Time Linear Systems Using Continuous Time Delay Petri NetsSobhi Baniardalani0Kermanshah University of TechnologyThis paper deals with fault diagnosis of a linear continuous variable dynamical system represented by a discrete state space model. The proposed fault diagnoser is based on a special Petri Net called Continuous Time Delay Petri Net (CTDPN). Thanks to the theorem presented in this paper, an exact correspondence between discrete-state space equations and fundamental equations of the CTDPN can be established. Based on this theorem, a systematic method is presented for realization of classical parity equations by a CTDPN that plays the role of the fault diagnoser. By integrating the concept of state space models and Petri Nets in this paper, new and effective methods can be proposed for analyzing and fault diagnosis of hybrid systems. Finally, the performance of the proposed method is investigated for fault diagnosis of a DC motor. The results show that with the help of proposed Petri net, fault diagnosis can be done well and traditional diagnoser can be replaced with this network.https://ieco.usb.ac.ir/article_4980_7589d3a60e42dd57c87e7a56682a2ca8.pdfcontinuous-time delay petri netfault diagnosisparity equationsstate-space model
spellingShingle Sobhi Baniardalani
Fault Diagnosis of Discrete-Time Linear Systems Using Continuous Time Delay Petri Nets
International Journal of Industrial Electronics, Control and Optimization
continuous-time delay petri net
fault diagnosis
parity equations
state-space model
title Fault Diagnosis of Discrete-Time Linear Systems Using Continuous Time Delay Petri Nets
title_full Fault Diagnosis of Discrete-Time Linear Systems Using Continuous Time Delay Petri Nets
title_fullStr Fault Diagnosis of Discrete-Time Linear Systems Using Continuous Time Delay Petri Nets
title_full_unstemmed Fault Diagnosis of Discrete-Time Linear Systems Using Continuous Time Delay Petri Nets
title_short Fault Diagnosis of Discrete-Time Linear Systems Using Continuous Time Delay Petri Nets
title_sort fault diagnosis of discrete time linear systems using continuous time delay petri nets
topic continuous-time delay petri net
fault diagnosis
parity equations
state-space model
url https://ieco.usb.ac.ir/article_4980_7589d3a60e42dd57c87e7a56682a2ca8.pdf
work_keys_str_mv AT sobhibaniardalani faultdiagnosisofdiscretetimelinearsystemsusingcontinuoustimedelaypetrinets