Skip to main content

Robust H  ∞  Control for Discrete-Time Systems with Uncertain Packet Dropouts Probabilities

  • Conference paper
Life System Modeling and Simulation (ICSEE 2014, LSMS 2014)

Abstract

For a class of discrete-time system with both measurement data and control data missing, a decentralized state feedback H  ∞  controller design is studied in this paper. The packet dropouts are modeled as a Bernoulli random binary switching sequence with an unknown conditional probability distribution that is assumed to be in an interval. An observer-based controller is proposed to make the closed-loop system exponentially stable in the sense of mean square and achieve the prescribed H  ∞  performance. Sufficient conditions are derived for the existence of controller. A numerical example is also provided to demonstrate the validity of the proposed design scheme.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Tipsuwan, Y., Chow, M.Y.: Control methodologize in networked control system. Control Engineering Practice 10(11), 1099–1111 (2003)

    Article  Google Scholar 

  2. Chen, Y.M., Huang, H.C.: Multisensor data fusion for manoeuvring target tracking. International Journal of Systems Science 32(2), 205–214 (2001)

    Article  MATH  Google Scholar 

  3. Wang, W., Yang, F.W., Zhan, Y.Q.: Robust state estimation for stochastic uncertain discrete-time system with missing measurements. Control Theory and Applications 25(3), 439–445 (2008)

    MATH  Google Scholar 

  4. Wang, B.F., Guo, G.: State estimation for discrete-time systems with Markovian time-delay and packet loss. Control Theory and Applications 26(12), 1331–1336 (2001)

    Google Scholar 

  5. Ruan, Y.B., Wang, W., Yang, F.W.: Fault detection filter for networked systems with missing measurements. Control Theory and Applications 26(3), 291–295 (2009)

    Google Scholar 

  6. Zhang, J., Bo, Y.M., Lv, M.: Fault detection for networked control systems with delays and data packet dropout. Control and Decision 26(6), 933–939 (2011)

    MathSciNet  Google Scholar 

  7. Wang, Z.D., Yang, F.W., Ho, D.W.C., Liu, X.H.: Robust control for networked systems with random packet losses. IEEE Transactions on Systems, Man, and Cybernetics, Part B 37(4), 916–924 (2007)

    Article  Google Scholar 

  8. Seiler, P., Sengupta, R.: An approach to networked control. IEEE Transaction on Automation Control 50(3), 356–364 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhou, Y., Ma, C., Cao, J., Zang, Q. (2014). Robust H  ∞  Control for Discrete-Time Systems with Uncertain Packet Dropouts Probabilities. In: Ma, S., Jia, L., Li, X., Wang, L., Zhou, H., Sun, X. (eds) Life System Modeling and Simulation. ICSEE LSMS 2014 2014. Communications in Computer and Information Science, vol 461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45283-7_42

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-45283-7_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45282-0

  • Online ISBN: 978-3-662-45283-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics