Skip to main content
SpringerLink
Log in

Modeling and Control of Networked Control Systems with Random Delays

  • Conference paper
Hybrid Systems: Computation and Control (HSCC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3414))

Included in the following conference series:

Abstract

This paper discusses the problems of control design and stability analysis of the networked control systems(NCSs) with random delays. The network-induced delays of the NCS are considered as interval variables governed by a Markov chain. Using the upper and lower bounds of the delays, a discrete-time Markovian jump system with norm-bounded uncertainties is presented to model the NCS. Based on this model, a state feedback controller can be constructed via a set of linear matrix inequalities. Simulations are given to illustrate the proposed results.

The work was supported by the National Key Project for Basic Research of China (Grant No: G2002cb312205), the National Science Foundation for Key Technical Research of China (Grant No: 90205008, 60334020), the National Science Foundation of China (Grant No: 60174018 and 60084002), China Postdoctoral Science Foundation (Grant No: 2003034150), and the National Excellent Doctoral Dissertation Foundation (Grant No: 200041). Corresponding author: Yan Wang, E-Mail: w-yan@mail.tsinghua.edu.cn

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Boukas, E.K., Shi, P.: Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jump parameters. International Journal of Robust and Nonlinear Control 8, 1155–1167 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  2. Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V.: Linear matrix inequalities in system and control theory. SIAM, Philadephia (1994)

    MATH  Google Scholar 

  3. Ji, Y., Chizeck, H.J., Feng, X., Loparo, K.A.: Stability and control of discrete-time jump linear systems. Control Theory and Advanced Applications 7, 247–270 (1991)

    MathSciNet  Google Scholar 

  4. Hu, S.S., Zhu, Q.X.: Stochastic optimal control and analysis of stability of networked control systems with long delay. Automatica 39, 1877–1884 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  5. Lian, F.L., Moyne, J., Tilbury, D.: Performance evaluation of control networks: Ethernet, controlNet, and deviceNet. IEEE Control Systems Magzine 21, 66–83 (2001)

    Article  Google Scholar 

  6. Lian, F.L., Moyne, J., Tilbury, D.: Analysis and modeling of networked control systems: MIMO case with multiple time delays. In: Proceeding of American Control Conference, pp. 4306–4312 (2001)

    Google Scholar 

  7. Liou, L.-W., Ray, A.: A stochastic regulator for integrated communicaiton and control systems: Part I-Formulation of control law. Journal of Dynamic Systems, Measurement and Control 113, 604–611 (1991)

    Article  MATH  Google Scholar 

  8. Luck, R., Ray, A.: An observer-based compensator for distributed delays. Automatica 26, 903–908 (1990)

    Article  MATH  Google Scholar 

  9. Nisson, J.: Real-time control systems with delays, Ph.D. thesis, Department of Automatic Control. Lund Institute of Technology, Lund, Sweden (1998)

    Google Scholar 

  10. Souza, C., Xie, L.: Delay-dependent robust H  ∞  control of uncertain linear state-delayed systems. Automatica 35, 1313–1321 (1999)

    Article  MATH  Google Scholar 

  11. Walsh, G., Beldiman, O., Bushnell, L.G.: Asymptotic behavior of nonlinear networked control systems. IEEE Transaction on Automatic Control 40, 1093–1097 (2001)

    Article  MathSciNet  Google Scholar 

  12. Yuan, C., Mao, X.: Robust stability and controllability of stochastic differential delay equations with Markovian switching. Automatica 40, 343–354 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  13. Zhang, W., Branicky, M.S., Phillips, S.M.: Stability of networked control systems. IEEE Control Systems Magzine 21, 84–99 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Lab of Intelligent Technology and Systems, Department of Computer Science, Tsinghua University, Beijing, 100084, P.R. China

    Yan Wang, Zeng Qi Sun & Fu Chun Sun

Authors
  1. Yan Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zeng Qi Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fu Chun Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Automatic Control Laboratory, ETH Zurich, 8092, Zurich, Switzerland

    Manfred Morari

  2. Computer Engineering and Networks Laboratory, ETH Zurich, Switzerland

    Lothar Thiele

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, Y., Sun, Z.Q., Sun, F.C. (2005). Modeling and Control of Networked Control Systems with Random Delays. In: Morari, M., Thiele, L. (eds) Hybrid Systems: Computation and Control. HSCC 2005. Lecture Notes in Computer Science, vol 3414. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31954-2_42

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-31954-2_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25108-8

  • Online ISBN: 978-3-540-31954-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation