Skip to main content

Distributed State Estimation with Communication of Observations

  • Chapter
  • First Online:
Coordination Control of Distributed Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 456))

  • 1840 Accesses

Abstract

Which reduced linear combination of its observations should Observer 2 send to Observer 1 so as to allow Controller 1 to make a better state estimate of the decentralized system? As a performance criterion, the variance of the state estimate is used. Algorithms and optimality are discussed for the case when the rank of the combination is free to be chosen and when it is fixed.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and 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

References

  1. Athans M (1972) On the determination of optimal costly measurement strategies for linear stochastic systems. Automatica 8:397–412

    Article  MATH  Google Scholar 

  2. Barrett G, Lafortune S (2000) Decentralized supervisory control with communicating controllers. IEEE Trans Autom Control 45:1620–1638

    Article  MathSciNet  MATH  Google Scholar 

  3. Boel RK, van Schuppen JH (2010) Control of the observation matrix for control purposes. In: Edelmayer A (ed) Proceedings of the international symposium on the mathematical theory of networks and systems (MTNS.2010), University of Budapest, Budapest, pp 1261–1268

    Google Scholar 

  4. Golub G, VanLoan C (1996) Matrix computations, 3rd edn. Johns Hopkins University Press, Baltimore

    MATH  Google Scholar 

  5. Lancaster P, Rodman L (1995) Algebraic Riccati equations. Oxford Science Publications, Oxford

    MATH  Google Scholar 

  6. Ran ACM, van Schuppen JH (2013) Distributed state estimation with communication of observations. Linear Algebra Appl 439:600–612

    Article  MathSciNet  MATH  Google Scholar 

  7. Ricker S, Rudie K (1997) Know means no: incorporating knowledge into decentralized discrete-event control. In: Proceedings of 1997 American control conference

    Google Scholar 

  8. Rohloff KR, van Schuppen JH (2005) Approximating minimal communicated event sets for decentralized supervisory control. In: Proceedings of IFAC World Congress. Elsevier, London

    Google Scholar 

  9. van Schuppen JH (2011) Control of distributed stochastic systems—introduction, problems, and approaches. In: Proceedings of IFAC World Congress 2011

    Google Scholar 

  10. Wong K, van Schuppen J (1996) Decentralized supervisory control of discrete-event systems with communication. In: Proceedings of international workshop on discrete event systems 1996 (WODES96). IEE, London, pp 284–289

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to André C. M. Ran .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Ran, A.C.M., Schuppen, J.H.v. (2015). Distributed State Estimation with Communication of Observations. In: van Schuppen, J., Villa, T. (eds) Coordination Control of Distributed Systems. Lecture Notes in Control and Information Sciences, vol 456. Springer, Cham. https://doi.org/10.1007/978-3-319-10407-2_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10407-2_27

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10406-5

  • Online ISBN: 978-3-319-10407-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics