Skip to main content
Top

2018 | OriginalPaper | Chapter

Safe Diagnosis of Stochastic Discrete Event Systems by Constructing Safe Verifier

Authors : Fuchun Liu, Pengbiao Yang

Published in: Proceedings of 2017 Chinese Intelligent Automation Conference

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Safe diagnosis was viewed as the first necessary step of fault-tolerant supervision of discrete event systems (DESs), and a method of safe diagnosis for stochastic DESs was proposed by constructing safe diagnosers in the literature. However, the complexity of constructing such safe diagnosers is exponential. In this paper, we present an algorithm to perform safe diagnosis of stochastic DESs by constructing a nondeterministic automaton called the safe verifier. The necessary and sufficient condition for safe diagnosability of stochastic DESs is proposed. It is worth noting that the complexity of constructing the safe verifier is polynomial in the number of states and events of the system.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Paoli A, Lafortune S (2005) Safe diagnosability for fault-tolerant supervision of discrete-event systems. IEEE Trans Autom Control 41(8):1335–1347MATHMathSciNet Paoli A, Lafortune S (2005) Safe diagnosability for fault-tolerant supervision of discrete-event systems. IEEE Trans Autom Control 41(8):1335–1347MATHMathSciNet
2.
go back to reference Qiu W, Kumar R (2006) Decentralized failure diagnosis of discrete event systems. IEEE Transaction on Systems, Man, and Cybernetics-part A: Systems and Humans 36(2):384–395CrossRef Qiu W, Kumar R (2006) Decentralized failure diagnosis of discrete event systems. IEEE Transaction on Systems, Man, and Cybernetics-part A: Systems and Humans 36(2):384–395CrossRef
3.
go back to reference Sampath M, Sengupta R, Lafortune S, Sinnamohideen K, Teneketzis D (1995) Diagnosability of discrete-event systems. IEEE Trans Autom Control 40(9):1555–1575CrossRefMATHMathSciNet Sampath M, Sengupta R, Lafortune S, Sinnamohideen K, Teneketzis D (1995) Diagnosability of discrete-event systems. IEEE Trans Autom Control 40(9):1555–1575CrossRefMATHMathSciNet
4.
5.
go back to reference Liu F, Qiu D, Xing H, Fan Z (2008) Decentralized diagnosis of stochastic discrete event systems. IEEE Trans Autom Control 53(2):535–546CrossRefMATHMathSciNet Liu F, Qiu D, Xing H, Fan Z (2008) Decentralized diagnosis of stochastic discrete event systems. IEEE Trans Autom Control 53(2):535–546CrossRefMATHMathSciNet
6.
go back to reference Yoo T, Lafortune S (2002) Polynomial-time verification of diagnosability of partially observed discrete-event systems. IEEE Trans Autom Control 47(9):1491–1495CrossRefMATHMathSciNet Yoo T, Lafortune S (2002) Polynomial-time verification of diagnosability of partially observed discrete-event systems. IEEE Trans Autom Control 47(9):1491–1495CrossRefMATHMathSciNet
7.
go back to reference Chen J, Kumar R (2012) Polynomial test for stochastic diagnosability of discrete-event systems. IEEE Trans Autom Sci Eng 10(4):969–979CrossRef Chen J, Kumar R (2012) Polynomial test for stochastic diagnosability of discrete-event systems. IEEE Trans Autom Sci Eng 10(4):969–979CrossRef
8.
go back to reference Luo M, Sun F, Li Y (2011) A polynomial algorithm for testing diagnosability of stochastic discrete event systems. In: 8th Asian Control Conference (ASCC). pp 1048–1053 Luo M, Sun F, Li Y (2011) A polynomial algorithm for testing diagnosability of stochastic discrete event systems. In: 8th Asian Control Conference (ASCC). pp 1048–1053
9.
go back to reference Moreira MV, Jesus TC, Basilio JC (2011) Polynomial time verification of decentralized diagnosability of discrete event systems. IEEE Trans Autom Control 56(7):1679–1684CrossRefMATHMathSciNet Moreira MV, Jesus TC, Basilio JC (2011) Polynomial time verification of decentralized diagnosability of discrete event systems. IEEE Trans Autom Control 56(7):1679–1684CrossRefMATHMathSciNet
10.
go back to reference Liu F (2015) Safe Diagnosability of fuzzy discrete-event systems and a polynomial-time verification. IEEE Trans Fuzzy Syst 23(5):1534–1544CrossRef Liu F (2015) Safe Diagnosability of fuzzy discrete-event systems and a polynomial-time verification. IEEE Trans Fuzzy Syst 23(5):1534–1544CrossRef
11.
Metadata
Title
Safe Diagnosis of Stochastic Discrete Event Systems by Constructing Safe Verifier
Authors
Fuchun Liu
Pengbiao Yang
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-6445-6_57