Skip to main content

Stochastic Stability Analysis of MIMO Networked Control Systems with Multi-quantizers

  • Conference paper
  • 1373 Accesses

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 324))

Abstract

This paper is concerned with stochastic stability analysis of MIMO NCSs with multi-channel communication constrain and multi-quantizers. With communication constrains treated as packet disordering and quantization error treated as sector-bounded uncertainty, the closed-loop system is firstly modeled as a Markov jump linear system (MJLS). A stochastically stable condition has then been derived, and the main results are further extended to MIMO NCSs with parameter uncertainty. Finally, simulation results confirm the effectiveness of the proposed method.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Moyne, J.R., Tilbury, D.M.: The Emergence of Industrial Control Networks for Manufacturing Control, Diagnostics, and Safety Data. J. Proceedings of the IEEE. 95, 29–47 (2007)

    Article  Google Scholar 

  2. Antsaklis, P., Baillieul, J.: Special Issue on Technology of Networked Control Systems. J. Proceedings of the IEEE 95, 5–8 (2007)

    Article  Google Scholar 

  3. Baillieul, J., Antsaklis, P.J.: Control and Communication Challenges in Networked Real-time Systems. J. Proceedings of the IEEE 95(1), 9–28 (2007)

    Article  Google Scholar 

  4. Yang, R.N., Shi, P., Liu, G.P., Gao, H.J.: Network-based Feedback Control for System with Mixed Delays Based on Quantization and Dropout Compensation. J. Automatica 47, 2805–2809 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  5. Wang, S.B., Meng, X.Y., Chen, T.W.: Wide-area Control of Power Systems Through Delayed Network Communication. J. IEEE Transactions on Control Systems Technology 20(2), 495–503 (2012)

    Article  Google Scholar 

  6. Du, D.J., Fei, M.R., Jia, T.G.: Modelling and Stability Analysis of MIMO Networked Control systems with multi-channel random packet losses. J. Transactions of the Institute of Measurement and Control, doi:10.1177/0142331211406605

    Google Scholar 

  7. Li, J.N., Zhang, Q.L., Yu, H.B., Cai, M.: Real-time Guaranteed Cost Control of MIMO Networked Control Systems with Packet Disordering. J. Journal of Process Control 21(6), 967–975 (2011)

    Article  Google Scholar 

  8. Coutinho, D.F., Fu, M.Y., De Souza, C.E.: Input and Output Quantized Feedback Linear Systems. J. IEEE Trans. on Automatic Control 55(3), 761–766 (2010)

    Article  Google Scholar 

  9. Zhang, J., Lam, J., Xia, Y.: Observer-based Output Feedback Control for Discrete Systems with Quantised Inputs. J. IET Control Theory and Applications 3(5), 478–485 (2010)

    MathSciNet  Google Scholar 

  10. Liberzon, D.: Hybrid Feedback Stabilization of Systems with Quantized Signals. J. Automatica 39(9), 1543–1554 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  11. Rasool, F., Nguang, S.K., Krug, M.: Robust H∞ Output Feedback Control of Networked Control Systems With Multiple Quantizers. In: 6th IEEE Conference on Industrial Electronics and Applications, pp. 1541–1546 (2011)

    Google Scholar 

  12. Fu, M.Y., Xie, L.: The Sector Bound Approach to Quantized Feedback Control. J. IEEE Transactions on Automatic Control 50, 1698–1711 (2005)

    Article  MathSciNet  Google Scholar 

  13. Wang, Y., Xie, L., de Souza, C.E.: Robust Control of a class of uncertain non-linear systems. J. System Control Letters 19, 139–149 (2002)

    Article  MATH  Google Scholar 

  14. Goh, K.C., Turan, L., Safonov, M.G., Papavassilopoulos, G.P., Ly, J.H.: Baffine Matrix Inequality Properties and Computational Methods. In: Proceedings of the American Conference, Maryland, pp. 850–855 (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bai, H., Du, D., Fei, M., Song, Z. (2012). Stochastic Stability Analysis of MIMO Networked Control Systems with Multi-quantizers. In: Xiao, T., Zhang, L., Fei, M. (eds) AsiaSim 2012. AsiaSim 2012. Communications in Computer and Information Science, vol 324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34390-2_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34390-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34389-6

  • Online ISBN: 978-3-642-34390-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics