Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Optimal Location of Sensors for Parameter Estimation of Static Distributed Systems

  • Conference paper
  • First Online:
Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

Abstract

Three methods of sensor placement for the purpose of accurately estimating unknown spatially-varying parameters of static distributed systems are discussed. The idea is to convert the problem to a classical experimental design one in which the concept of continuous designs is exploited. The first two approaches consist then in employing efficient algorithms for computation of optimum designs on discrete and continuous domains. Since this may lead to sensor clusterization, the third routine is proposed based on Fedorov’s idea of directly constrained design measures, which consists in imposing constraints on the sensor density in a given spatial domain. The three algorithms are verified by a numerical example regarding computer-assisted tomography.

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

Access this chapter

Log in via an institution
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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atkinson, A. C., Donev, A. N.: Optimum Experimental Design, Oxford University Press, Oxford, (1992).

    Google Scholar 

  2. Fedorov, V.V., Hackl, P.: Model-Oriented Design of Experiments. Lecture Notes in Statistics, Springer-Verlag, New York, (1997).

    Book  MATH  Google Scholar 

  3. Kubrously, C.S., Malebranche, H.: Sensors and controllers location in distributed systems-A survey. Automatica, 21(2), (1985), 117–128.

    Article  MathSciNet  Google Scholar 

  4. Pázman, A.: Foundations of Optimum Experimental Design, D. Reidel Publishing Company, Dordrecht, (1986).

    MATH  Google Scholar 

  5. Müller, W.G.: Collecting Spatial Data. Optimum Designs of Experiments for Random Fields. Contributions to Statistics. Physica-Verlag, Heidelberg, (1998).

    Google Scholar 

  6. Rafajłowicz, E.: Design of experiments for parameter identification of the static distributed systems, Systems Science, Vol. 4, No. 4, (1978), 349–361.

    MathSciNet  MATH  Google Scholar 

  7. Rafajłowicz, E.: Algorithms of Experimental Design with Implementations in Mathematica, Akademicka Oficyna Wydawnicza PLJ, Warsaw, (1996) (in Polish).

    Google Scholar 

  8. Sikora, J.: Numerical approaches to the impedance and eddy-currental tomography. Technical University Press, Warsaw, (2000) (in Polish)

    Google Scholar 

  9. Uciński, D.: Measurement Optimisation for Parameter Estimation of Distributed Systems, Technical University Press, Zielona Góra, (1999).

    Google Scholar 

  10. Uciński, D.: Optimal sensor location for parameter identification of distributed systems. Applied Mathematics and Computer Science, 2(1), (1992), 119–134.

    MATH  Google Scholar 

  11. Uciński, D.: Optimal sensor location for parameter estimation of distributed processes. International Journal of Control, Vol. 73, No. 13, (2000), 1235–1248.

    Article  MathSciNet  MATH  Google Scholar 

  12. Uciński, D.: Optimization of sensors’ allocation strategies for parameter estimation in distibuted systems. System Analysis Modell. Simul., Vol. 37, (2000), 243–260.

    MATH  Google Scholar 

  13. Walter, E., Pronzato, Z.: Identification of Parametric Models from Experimental Data, Springer-Verlag, London (1997).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Control and Computation Engineering, University of Zielona Góra, ul. Podgórna 50, 65-246, Zielona Góra, Poland

    Maciej Patan & Dariusz Uciński

Authors
  1. Maciej Patan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dariusz Uciński
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics and Computer Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200, Czestochowa, Poland

    Roman Wyrzykowski

  2. Computer Science Department, University of Tennessee, 122 Volunteer Blvd, Knoxville, TN, 37996-3450, USA

    Jack Dongarra

  3. Computer Science Department, Oklahoma State University, 700 N. Greenwood Ave., Tulsa, OK, 74106, USA

    Marcin Paprzycki

  4. DTU, UNI-C, Danish Computing Centre for Research and Education, Bldg. 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Patan, M., Uciński, D. (2002). Optimal Location of Sensors for Parameter Estimation of Static Distributed Systems. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_81

Download citation

  • DOI: https://doi.org/10.1007/3-540-48086-2_81

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation