Skip to main content

Feedback Stabilization of Networked Systems over Fading Channels

  • Chapter
  • First Online:
Stochastic Control and Filtering over Constrained Communication Networks

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 178))

Abstract

One primary issue of broad interest in the NCSs is the networked stabilization, which aims to explore a fundamental limitation on the information constraints in order that the NCS can be stabilized. For a single-input system, such stabilization problems have been extensively studied under different information constraints.

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 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. J. Baillieul, P. Antsaklis, Control and communication challenges in networked real-time systems. Proc. IEEE 95(1), 9–28 (2007)

    Article  Google Scholar 

  2. G.N. Nair, R.J. Evans, Exponential stabilisability of finite-dimensional linear systems with limited data rates. Automatica 39(4), 585–593 (2003)

    Article  MathSciNet  Google Scholar 

  3. S. Tatikonda, S. Mitter, Control under communication constraints. IEEE Trans. Autom. Control 49, 1056–1068 (2004)

    Article  MathSciNet  Google Scholar 

  4. K. You, L. Xie, Minimum data rate for mean square stabilization of discrete LTI systems over lossy channels. IEEE Trans. Autom. Control 55(10), 2373–2378 (2010)

    Article  MathSciNet  Google Scholar 

  5. E.I. Silva, M.A. Solis, Control of LTI plants over erasure channels. Automatica 47(8), 1729–1736 (2011)

    Article  MathSciNet  Google Scholar 

  6. N. Elia, S. Mitter, Stabilization of linear systems with limited information. IEEE Trans. Autom. Control 46(9), 1384–1400 (2001)

    Article  MathSciNet  Google Scholar 

  7. M. Fu, L. Xie, The sector bound approach to quantized feedback control. IEEE Trans. Autom. Control 50(11), 1698–1711 (2005)

    Article  MathSciNet  Google Scholar 

  8. Z. Wang, B. Shen, H. Shu, G. Wei, Quantized control for nonlinear stochastic time-delay systems with missing measurements. IEEE Trans. Autom. Control 57(6), 1431–1444 (2012)

    Article  MathSciNet  Google Scholar 

  9. N. Elia, Remote stabilization over fading channels. Syst. Control Lett. 54(3), 237–249 (2005)

    Article  MathSciNet  Google Scholar 

  10. J.H. Braslavsky, R.H. Middleton, J.S. Freudenberg, Feedback stabilization over signal-to-noise ratio constrained channels. IEEE Trans. Autom. Control 52(8), 1391–1403 (2007)

    Article  MathSciNet  Google Scholar 

  11. L. Qiu, Quantify the unstable, in Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems-MTNS, vol. 5, no. 9 (2010)

    Google Scholar 

  12. L. Qiu, G. Gu, W. Chen, Stabilization of networked multi-input systems with channel resource allocation. IEEE Trans. Autom. Control 58(3), 554–568 (2013)

    Article  MathSciNet  Google Scholar 

  13. W. Chen, L. Qiu, Stabilization of networked control systems with multirate sampling. Automatica 49(6), 1528–1537 (2013)

    Article  MathSciNet  Google Scholar 

  14. N. Xiao, L. Xie, L. Qiu, Feedback stabilization of discrete-time networked systems over fading channels. IEEE Trans. Autom. Control 57(9), 2176–2189 (2012)

    Article  MathSciNet  Google Scholar 

  15. W. Chen, S. Wang, L. Qiu, When MIMO control meets MIMO communication: a majorization condition for networked stabilizability (2014), arXiv preprint arXiv:1408.3500

  16. J.S. Freudenberg, R.H. Middleton, J.H. Braslavsky, Stabilization with disturbance attenuation over a Gaussian channel, in Proceedings of the 46st IEEE Conference Decision Control, (New Orleans, 2007), pp. 3958–3963

    Google Scholar 

  17. F. Vargas, J. Chen, E.I. Silva, On stabilizability of MIMO systems over parallel noisy channels, in Proceedings of the 53rd IEEE Conference Decision Control, (Los Angeles, 2014), pp. 6074–6079

    Google Scholar 

  18. A. Sahai, S. Mitter, The necessity and sufficiency of anytime capacity for stabilization of a linear system over a noisy communication link-part I: scalar systems. IEEE Trans. Inf. Theory 52, 3369–3395 (2006)

    Article  Google Scholar 

  19. G.N. Nair, A nonstochastic information theory for communication and state estimation. IEEE Trans. Autom. Control 58, 1497–1510 (2013)

    Article  MathSciNet  Google Scholar 

  20. W. Wonham, Linear Multivariable Control: A Geometrix Approach, 3rd edn. (Springer, 1985)

    Google Scholar 

  21. W. Chen, Topological entropy of continuous-time linear systems, M.Phil. Thesis, Hong Kong University of Science and Technology, 2010

    Google Scholar 

  22. A.I. Maass, E.I. Silva, Performance limits in the control of single-input linear time-invariant plants over fading channels. IET Control Theory Appl. 8(14), 1384–1395 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qinyuan Liu .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Liu, Q., Wang, Z., He, X. (2019). Feedback Stabilization of Networked Systems over Fading Channels. In: Stochastic Control and Filtering over Constrained Communication Networks. Studies in Systems, Decision and Control, vol 178. Springer, Cham. https://doi.org/10.1007/978-3-030-00157-5_2

Download citation

Publish with us

Policies and ethics