Skip to main content
SpringerLink
Log in

Stabilizing networked control of linear discrete systems with packet dropouts

  • Large Scale Systems Control
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

A linear system, where a plant and controller communicate via a network, is considered. The stabilization problem under possible packet dropouts modeled by a Markov chain is solved. The cases of state feedback control and measurable output feedback control are studied. The technique of linear matrix inequalities is efficiently adopted in the both cases.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Andrievsky, B.R., Matveev, A.S., and Fradkov, A.L., Control and Estimation under Information Constraints: Toward a Unified Theory of Control, Computation and Communications, Autom. Remote Control, 2010, vol. 71, no. 4, pp. 572–633.

    Article  MathSciNet  MATH  Google Scholar 

  2. Astrom, K.J., Introduction to Stochastic Control Theory, New York: Academic Press, 1970. Translated under the title Vvedenie v stokhasticheskuyu teoriyu upravleniya, Moscow: Mir, 1973.

    Google Scholar 

  3. Pakshin, P.V., Diskretnye sistemy so sluchainymi parametrami i strukturoi (Discrete Systems with Random Parameters and Structure), Moscow: Fizmatlit, 1994.

    Google Scholar 

  4. Churilov, A.N. and Gessen, A.V., Issledovanie lineinykh matrichnykh neravenstv. Putevoditel’ po programmnym paketam (Analysis of Linear Matrix Inequalities: A Software Packages Guide), St. Petersburg: S.-Peterburg. Gos. Univ., 2004.

    Google Scholar 

  5. Hongo, S., Li, Y., and Zhang, W., Stabilization of Networked Control Systems with Communication Constraints and Packet Dropouts, Proc. 48th IEEE Conf. on Decision and Control, 2009, pp. 7936–7941.

    Google Scholar 

  6. Dačic, D. and Nečsic, D., Quadratic Stabilization of Linear Networked Control Systems via Simultaneous Protocol and Controller Design, Automatica, 2007, vol. 43, pp. 1145–1155.

    Article  MATH  Google Scholar 

  7. Nilsson, J. and Bernhardsson, B., LQG Control over a Markov Communication Network, Proc. 36th IEEE Conf. on Decision and Control, 1997, vol. 5, pp. 4586–4591.

    Article  Google Scholar 

  8. Zampieri, S., Trends in Networked Control Systems, Proc. 17th IFAC World Congress, 2008, pp. 2886–2894.

    Google Scholar 

  9. Zhang, W., Branicky, M., and Philips, S., Stability of Networked Control Systems, IEEE Control Syst. Magazine, 2001, vol. 21, no. 1, pp. 84–99.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Arzamas Polytechnic Institute of Alekseev Nizhny Novgorod State Technical University, Arzamas, Russia

    R. N. Zhuchkov & P. V. Pakshin

Authors
  1. R. N. Zhuchkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. V. Pakshin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © R.N. Zhuchkov, P.V. Pakshin, 2011, published in Upravlenie Bol’shimi Sistemami, 2011, No. 33, pp. 113–126.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhuchkov, R.N., Pakshin, P.V. Stabilizing networked control of linear discrete systems with packet dropouts. Autom Remote Control 74, 529–536 (2013). https://doi.org/10.1134/S0005117913030168

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117913030168

Keywords

Search

Navigation