Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4681))

Included in the following conference series:

Abstract

This paper is concerned with designing of a multirate controller over a network in which a sensor node transmits data to the controller node only if its measurement value changes more than a given specified δ value. When the send-on-delta transmission method is used, it is not ensured that the controller node receives data from the sensor nodes regularly at every control updating period. We thus propose a modified Kalman filter in which states of the plant are regularly estimated even if there is no sensor data reception. An optimal LQG controller is then designed in order to minimize the quadratic cost function of state and control effort. By providing the upper and lower bounds of the cost function, we prove that the proposed multirate controller is stable with the given δ value, which is a trade-off parameter between control performance and data transmission rate. Through numerical simulations, we demonstrate the feasibility and the usefulness of the proposed control method.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Suh, Y.S., Nguyen, V.H., Ro, Y.S.: Modified Kalman Filter for Networked Monitoring Systems Employing a Send-on-delta Method. Automatica, 332–338 (2007)

    Google Scholar 

  2. Sinopoli, B., Schenato, L., Franceschetti, M., Poolla, K., Jordan, M.I., Sastry, S.S.: Kalman Filtering with Intermittent Observations. IEEE Trans. Auto. Cont., 1453–1464 (2004)

    Google Scholar 

  3. Sinopoli, B., Schenato, L., Franceschetti, M., Poolla, K., Sastry, S.S.: LQG Control with Missing Observation and Control Packets. In: Proceedings of the 16th IFAC World Congress, Czech (2005)

    Google Scholar 

  4. Hara, T., Tomizuka, M.: Multi-rate Controller for Hard Disk Drive with Redesign of State Estimator. Proceedings of the American Control Conference 5, 3033–3037 (1998)

    Google Scholar 

  5. Rehbinder, H., Sanfridson, M.: Scheduling of a Limited Communication Channel for Optimal Control. Automatica (2003)

    Google Scholar 

  6. Walsh, G.C., Ye, H.: Scheduling of Networked Control Systems. IEEE Control Systems Magazine 21(1), 57–65 (2001)

    Article  Google Scholar 

  7. Yook, J.K., Tilbury, D.M., Soparkar, N.R.: Trading Computation for Bandwidth: Reducing Communication in Distributed Control Systems Using State Estimators. IEEE Trans. on Control Systems Technology, 503–518 (2002)

    Google Scholar 

  8. Ishii, H., Francis, B.A.: Limited Data Rate in Control Systems with Networks. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  9. Brown, R.G., Hwang, P.Y.C.: Introduction to Random Signals and Applied Kalman Filtering. John Wiley & Sons, New York (1997)

    MATH  Google Scholar 

  10. Chen, G., Chen, G., Hsu, H.: Linear Stochastic Control Systems. CRC Press, Boca Raton (1995)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

De-Shuang Huang Laurent Heutte Marco Loog

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Nguyen, V.H., Suh, Y.S. (2007). A Modified Multirate Controller for Networked Control Systems with a Send-on-Delta Transmission Method. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74171-8_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74170-1

  • Online ISBN: 978-3-540-74171-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics