Skip to main content
Top

2017 | OriginalPaper | Chapter

H Filtering Design for a Class of Distributed Parameter Systems with Randomly Occurring Sensor Faults and Markovian Channel Switching

Authors : Huihui Ji, Baotong Cui

Published in: Parallel Architecture, Algorithm and Programming

Publisher: Springer Singapore

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

search-config
loading …

Abstract

The paper is concerned with H filtering design for a class of stochastic distributed parameter systems with randomly occurring sensor faults over sensor networks with multiple communications. The channel switching is governed by a continuous-time Markovian process and the case of measurement failures is described by a stochastic variable which is satisfying the Bernoulli random distribution. Based on a Markovian switched Lyapunov-Krasovskii functional, delay-dependent conditions are achieved to guarantee the prescribed H performance. Finally, a practical simulation example is given to illustrate the validity of our results.

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 Liu, M., Ho, D.W.C., Niu, Y.: Robust filtering design for stochastic system with mode-dependent output quantization. IEEE Trans. Sig. Process. 58(12), 6410–6416 (2011)MathSciNetCrossRef Liu, M., Ho, D.W.C., Niu, Y.: Robust filtering design for stochastic system with mode-dependent output quantization. IEEE Trans. Sig. Process. 58(12), 6410–6416 (2011)MathSciNetCrossRef
2.
go back to reference Elsayed, A., Grimble, M.J.: A new approach to the H ∞ design of optimal digital linear filters. IMA J. Math. Control Inf. 6(2), 233–251 (1989)MathSciNetCrossRefMATH Elsayed, A., Grimble, M.J.: A new approach to the H design of optimal digital linear filters. IMA J. Math. Control Inf. 6(2), 233–251 (1989)MathSciNetCrossRefMATH
3.
go back to reference Shen, B., Wang, Z., Shu, H., Wei, G.: Robust H ∞ finite-horizon filtering with randomly occurred nonlinearities and quantization effects. Automatica 46(46), 1743–1751 (2010)MathSciNetCrossRefMATH Shen, B., Wang, Z., Shu, H., Wei, G.: Robust H finite-horizon filtering with randomly occurred nonlinearities and quantization effects. Automatica 46(46), 1743–1751 (2010)MathSciNetCrossRefMATH
4.
go back to reference Karimi, H.R.: Robust H ∞ filter design for uncertain linear systems over network with network-induced delays and output quantization. Model. Ident. Control 30(1), 27–37 (2009)CrossRef Karimi, H.R.: Robust H filter design for uncertain linear systems over network with network-induced delays and output quantization. Model. Ident. Control 30(1), 27–37 (2009)CrossRef
5.
go back to reference Wang, W.-W., Yang, J.-L., Yang, G.-H.: Quantised H ∞ filtering for networked systems with random sensor packet losses. IET Control Theory Appl. 4(8), 1339–1352 (2010)MathSciNetCrossRef Wang, W.-W., Yang, J.-L., Yang, G.-H.: Quantised H filtering for networked systems with random sensor packet losses. IET Control Theory Appl. 4(8), 1339–1352 (2010)MathSciNetCrossRef
6.
go back to reference Wang, P.P., Che, W.W.: Quantized H ∞ filter design for networked control systems with random nonlinearity and sensor saturation. Neurocomputing 193, 14–19 (2016)CrossRef Wang, P.P., Che, W.W.: Quantized H filter design for networked control systems with random nonlinearity and sensor saturation. Neurocomputing 193, 14–19 (2016)CrossRef
7.
go back to reference Li, A., Yi, S., Wang, X.: New reliable H ∞ filter design for networked control systems with external disturbances and randomly occurring sensor faults. Neurocomputing 185, 21–27 (2015)CrossRef Li, A., Yi, S., Wang, X.: New reliable H filter design for networked control systems with external disturbances and randomly occurring sensor faults. Neurocomputing 185, 21–27 (2015)CrossRef
8.
go back to reference Liu, Y., Wang, Z., Wang, W.: Reliable H ∞ filtering for discrete time-delay systems with randomly occurred nonlinearities via delay-partitioning method. Sig. Process. 91(4), 713–727 (2011)CrossRefMATH Liu, Y., Wang, Z., Wang, W.: Reliable H filtering for discrete time-delay systems with randomly occurred nonlinearities via delay-partitioning method. Sig. Process. 91(4), 713–727 (2011)CrossRefMATH
9.
go back to reference Alvarez, J.D., Normey-Rico, J.E., Berenguel, M.: Design of PID controller with filter for distributed parameter systems. IFAC Proc. Volumes 45(3), 495–500 (2012)CrossRef Alvarez, J.D., Normey-Rico, J.E., Berenguel, M.: Design of PID controller with filter for distributed parameter systems. IFAC Proc. Volumes 45(3), 495–500 (2012)CrossRef
10.
go back to reference Demetriou, M.A.: Spatial PID consensus controllers for distributed filters of distributed parameter systems. Syst. Control Lett. 63(1), 57–62 (2014)MathSciNetCrossRefMATH Demetriou, M.A.: Spatial PID consensus controllers for distributed filters of distributed parameter systems. Syst. Control Lett. 63(1), 57–62 (2014)MathSciNetCrossRefMATH
11.
go back to reference Demetriou, M.A.: Design of consensus and adaptive consensus filters for distributed parameter systems. Pergamon Press, Inc. (2010) Demetriou, M.A.: Design of consensus and adaptive consensus filters for distributed parameter systems. Pergamon Press, Inc. (2010)
12.
go back to reference Park, P.G., Ko, J.W., Jeong, C.: Reciprocally convex approach to stability of systems with time-varying delays. Pergamon Press, Inc. (2011) Park, P.G., Ko, J.W., Jeong, C.: Reciprocally convex approach to stability of systems with time-varying delays. Pergamon Press, Inc. (2011)
13.
go back to reference Wang, J.L., Yang, Z.C., Wu, H.N.: Passivity analysis of complex dynamical networks with multiple time-varying delays. J. Eng. Math. 74(1), 175–188 (2012)MathSciNetCrossRefMATH Wang, J.L., Yang, Z.C., Wu, H.N.: Passivity analysis of complex dynamical networks with multiple time-varying delays. J. Eng. Math. 74(1), 175–188 (2012)MathSciNetCrossRefMATH
14.
go back to reference Gu, K., Chen, J., Kharitonov, V.: Stability of Time-Delay Systems. Birkhauser, Boston (2003)CrossRefMATH Gu, K., Chen, J., Kharitonov, V.: Stability of Time-Delay Systems. Birkhauser, Boston (2003)CrossRefMATH
Metadata
Title
H ∞ Filtering Design for a Class of Distributed Parameter Systems with Randomly Occurring Sensor Faults and Markovian Channel Switching
Authors
Huihui Ji
Baotong Cui
Copyright Year
2017
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-6442-5_11