Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

Separation principle for networked control systems with multiple-packet transmission

Separation principle for networked control systems with multiple-packet transmission

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)
Add to cart

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

  • Author(s): D. Wu 1 ; J. Wu 1 ; S. Chen 2
    • View affiliations
    • Affiliations: 1: State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, People's Republic of China
      2: School of Electronics and Computer Science, University of Southampton, Southampton, UK
  • Source: Volume 5, Issue 3, 17 February 2011, p. 507 – 513
    DOI:  10.1049/iet-cta.2009.0436 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

The authors investigate a class of observer-based discrete-time networked control systems (NCSs) with multiple-packet transmission where random packet dropouts occur independently in both the sensor-to-controller (S/C) and controller-to-actuator (C/A) channels. The authors first propose and prove the separation principle for the NCSs where packet dropouts in the C/A and S/C channels are governed by two independent Markov chains, respectively. Secondly, the authors derive a sufficient condition, in terms of linear matrix inequalities (LMIs), for stabilisation control of the Markov chain-driven NCSs. The authors also derive the necessary and sufficient condition for stabilisation control of the memoryless process-driven NCSs as a special case. A numerical example is provided to illustrate the effectiveness of our method.

Inspec keywords: networked control systems; sensors; telecommunication control; observers; actuators; Markov processes; linear matrix inequalities; telecommunication channels; stability; discrete time systems

Other keywords: multiple packet transmission; sensor-to-controller channel; observer based discrete time control system; controller-to-actuator channel; networked control system; stabilisation control; random packet dropout; Markov chain; linear matrix inequality

Subjects: Other control applications in telecommunications; Markov processes; Discrete control systems; Algebra; Stability in control theory

References

    1. 1)
    2. 2)
      • T. Kailath . (1980) Linear systems.
    3. 3)
      • P.S. Maybeck . (1979) Stochastic models, estimation, and control.
    4. 4)
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
      • Schenato, L.: `Optimal estimation in networked control systems subject to random delay and packet loss', Proc. 45th IEEE Conf. on Decision and Control, 13–15 December 2006, San Diego, CA, USA, p. 5615–5620.
    11. 11)
    12. 12)
    13. 13)
      • Quevedo, D.E., Silva, E.I., Goodwin, G.C.: `Packetized predictive control over erasure channels', Proc. 2007 American Control Conf., 9–13 July 2007, New York, USA, p. 1003–1008.
    14. 14)
      • Ling, Q., Lemmon, M.D.: `Optimal dropout compensation in networked control systems', Proc. 42nd IEEE Conf. on Decision and Control, 9–12 December 2003, Maui, Hawali, USA, p. 670–675.
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
    20. 20)
      • S. Boyd , L. El Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear matrix inequalities in systems and control theory.
    21. 21)
      • Y. Ji , H.J. Chizeck , X. Feng , K.A. Loparo . Stability and control of discrete-time jump linear systems. Control Theory Adv. Technol. , 247 - 270
    22. 22)
      • S. Karlin , H.M. Taylor . (1975) A first course in stochastic processes.
    23. 23)
    24. 24)
    25. 25)
    26. 26)
    27. 27)
    28. 28)
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2009.0436
Loading

Related content

content/journals/10.1049/iet-cta.2009.0436
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
Print this page
This is a required field
Please enter a valid email address