Set membership estimation of parameters and variables in dynamic networks by recursive algorithms with a moving measurement window

Kazimierz Duzinkiewicz

International Journal of Applied Mathematics and Computer Science (2006)

  • Volume: 16, Issue: 2, page 209-217
  • ISSN: 1641-876X

Abstract

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The paper considers a set membership joint estimation of variables and parameters in complex dynamic networks based on parametric uncertain models and limited hard measurements. A recursive estimation algorithm with a moving measurement window is derived that is suitable for on-line network monitoring. The window allows stabilising the classic recursive estimation algorithm and significantly improves estimate tightness. The estimator is validated on a case study regarding a water distribution network. Tight set estimates of unmeasured pipe flows, nodal heads, tank level and pipe resistances are obtained.

How to cite

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Duzinkiewicz, Kazimierz. "Set membership estimation of parameters and variables in dynamic networks by recursive algorithms with a moving measurement window." International Journal of Applied Mathematics and Computer Science 16.2 (2006): 209-217. <http://eudml.org/doc/207786>.

@article{Duzinkiewicz2006,
abstract = {The paper considers a set membership joint estimation of variables and parameters in complex dynamic networks based on parametric uncertain models and limited hard measurements. A recursive estimation algorithm with a moving measurement window is derived that is suitable for on-line network monitoring. The window allows stabilising the classic recursive estimation algorithm and significantly improves estimate tightness. The estimator is validated on a case study regarding a water distribution network. Tight set estimates of unmeasured pipe flows, nodal heads, tank level and pipe resistances are obtained.},
author = {Duzinkiewicz, Kazimierz},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {uncertainty; complexity; networks; water distribution; set membership estimation},
language = {eng},
number = {2},
pages = {209-217},
title = {Set membership estimation of parameters and variables in dynamic networks by recursive algorithms with a moving measurement window},
url = {http://eudml.org/doc/207786},
volume = {16},
year = {2006},
}

TY - JOUR
AU - Duzinkiewicz, Kazimierz
TI - Set membership estimation of parameters and variables in dynamic networks by recursive algorithms with a moving measurement window
JO - International Journal of Applied Mathematics and Computer Science
PY - 2006
VL - 16
IS - 2
SP - 209
EP - 217
AB - The paper considers a set membership joint estimation of variables and parameters in complex dynamic networks based on parametric uncertain models and limited hard measurements. A recursive estimation algorithm with a moving measurement window is derived that is suitable for on-line network monitoring. The window allows stabilising the classic recursive estimation algorithm and significantly improves estimate tightness. The estimator is validated on a case study regarding a water distribution network. Tight set estimates of unmeasured pipe flows, nodal heads, tank level and pipe resistances are obtained.
LA - eng
KW - uncertainty; complexity; networks; water distribution; set membership estimation
UR - http://eudml.org/doc/207786
ER -

References

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  1. Brdyś M.A. and Chen K. (1996): Joint estimation of states and parameters of integrated quantity and quality models of dynamic water supply and distribution systems. - Proc. 13-th IFAC World Congress, San Francisco, CA, Vol. 1, pp. 73-78. 
  2. Brdyś M.A. and Lisiak Z. (1999): Robust soft sensors for on-line monitoring of mixing quality in water supply networks. - Proc.s European Control Conf., ECC'99, Karlsruhe, Germany, (CD-ROM). 
  3. Brdyś M.A., Duzinkiewicz K., Grochowski M. and Rutkowski T. (2001): Robust estimation of integrated hydraulics and parameters in water distribution systems. - Proc. 4-th ASCE Annual Water Distribution Systems Analysis, 2001 World Water and Environmental Resources Congress, Orlando, FL, (CD-ROM). 
  4. Chang T., Duzinkiewicz K. and Brdyś M.A. (2004): Bounding approach to parameter estimation of point-parametric models. - Proc. 10-th IFAC/IFORS/IMACS/IFIP Symp. Large Scale Complex Systems, Osaka, Japan, Vol. 1, pp. 233-238. 
  5. Duzinkiewicz K. (2005): Integrated control of drinking water supply and distribution systems. - D.Sc. thesis, AGH University of Science and Technology Publishers, Cracow, (in Polish). 
  6. Milanese M., Norton J.P., Piet-Lahanier H. and Walter E. (1996): Bounding Approaches to System Identification. - New York: Plenum Press. Zbl0845.00024
  7. Raïssi T., Ramdani N. and Candau Y. (2004): Set membership state and parameter estimation for systems described by nonlinear differential equations. - Automatica, Vol. 40, No. 10, pp. 1771-1777. Zbl1067.93019
  8. Rutkowski T., Brdyś M.A., Konarczak K. and Gminski T. (2004): Set-bounded joined parameter and state estimation for model predictive control of integrated wastewater treatment plant systems at medium time scale. - Proc. 10-th IFAC/IFORS/IMACS/IFIP Symp. Large Scale Complex Systems, Osaka, Japan, Vol. 2, pp. 789-794. 
  9. Schweppe F.C. (1978): Uncertain Dynamic Systems. - Englewood Cliffs, New Jersey: Prentice Hall. 
  10. Veres S.M. and Norton J.P. (1991): Structure selection for bounded-parameter models: Consistency conditions and selection criterion. - IEEE Trans. Automat. Contr., Vol. 36, No. 4, pp. 474-481. 
  11. Walter E. and Pronzato L. (1997): Identification of Parametric Models from Empirical Data. - Berlin: Springer. Zbl0864.93014

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