Modelling of Wastewater Treatment Plant for Monitoring and Control Purposes by State — Space Wavelet Networks

Authors

  • Adam Borowa Gdansk University of Technology, Department of Automatic Control, ul. G. Narutowicza 11/12, 80 952 Gdansk, Poland
  • Mietek A. Brdys The University of Birmingham, School of Engineering, Department of Electronic, Electrical and Computer Engineering, Birmingham B15 2TT, UK E-mail:
  • Krzysztof Mazur Gdansk University of Technology, Department of Automatic Control, ul. G. Narutowicza 11/12, 80 952 Gdansk, Poland E-mail: aborowa@ely.pg.gda.pl,

Keywords:

neural network models, model approximation, learning algorithms, waste treatment

Abstract

Most of industrial processes are nonlinear, not stationary, and dynamical with at least few different time scales in their internal dynamics and hardly measured states. A biological wastewater treatment plant falls into this category. The paper considers modelling such processes for monitorning and control purposes by using State - SpaceWavelet Neural Networks (SSWN). The modelling method is illustrated based on bioreactors of the wastewater treatment plant. The learning algorithms and basis function (multidimensional wavelets) are also proposed. The simulation results based on real data record are presented.

References

M. A. Brdys, M. Grochowski, K. Duzinkiewicz, W. Chotkowski, Y. Liu "Design of control structure for integrated wastewater treatment plant UË - sewer systems", International Conference on Technolog, Automation and Control of Wastewater and Drinking Water Systems TiASWiK'02 Gdansk - Sobieszewo, Poland, June 19-21 2002.

W. Chotkowski, J. M’zkinia, M.A. Brdys, K. Duzinkiewicz, K. Konarczak "Mathematical modelling of the processes in integrated municipal wastewater systems", Proc. of the 9th IFAC/IFORS/IMACS/ IFIP Symposium on Large Scale Systems: Theory and Applications, Bucharest, July 18-20 2001.

I. Daubechies Ten Lectures on Wavelets CBMS-NSF Regional Series in Applied Mathematics, SIAM, Philadelphia, 1992.

M. Grochowski, M.A. Brdys, T. Gmi-ski "Intelligent control structure for control of integrated wastewater systems" IFAC 10th Symposium Large Scale Systems: Theory and Applications Osaka ËU Japan July 26-28 2004.

A. Juditsky, Q. Zhang, B. Delyon, P-Y. Glorennec, A. Beneveniste "Wavelets in identification" Rapport de recherche Nˇr2315 1994.

S. Kirkpatrick, C.D. Gelatt, M.P. Vecchi "Optimization by Simulated Annealing" Science vol. 220 pp. 671-680, 1983. http://dx.doi.org/10.1126/science.220.4598.671

Y. Oussar, I. Rivals, L. Personnaz, G. Dreyfus "Training Wavelet Networks for Nonlinear Dynamic Input-Output Modeling" Neurocomputing, vol. 20, pp. 173-188, 1998. http://dx.doi.org/10.1016/S0925-2312(98)00010-1

G. Olsson, R Newell Wastewater Treatment Systems. Modelling, Diagnosis and Control. IWA Publishing, London, 1999.

E.N. Sanchez, J.P. Perez "Input-to-State Stability (ISS) Analysis for Dynamic Neural Networks" IEEE Transactions On Circuits And Systems ËU I: Fundamental Theory And Applications, vol. 46, No. 11, pp 1395 ËU 1398, November 1999.

J.M. Zamarreno, V. Pastora "State space neural network. Properties and applications." Neural Networks, vol. 11, pp 1099-1112, 1998. http://dx.doi.org/10.1016/S0893-6080(98)00074-4

Q. Zhang, A. Beneveniste "Wavelet Networks" IEEE Trans. on Neural Networks, vol. 3, num. 6, pp 889-898, Nov. 1992. http://dx.doi.org/10.1109/72.165591

Q. Zhang "Wavelet Network: the Radial Structure and an Efficient Initialization Procedure" Technical Report of Linköping University, LiTH-ISY-I-1423, October 1992.

J. Zhao, B. Chen, J. Shen "Multidimensional non-orthogonal wavelet basis function neural network for dynamic process fault diagnosis" Computer and Chemical Engineering vol. 23 pp. 83-92, 1998. http://dx.doi.org/10.1016/S0098-1354(98)00258-0

Published

2007-04-01

Issue

Vol. 2 No. 2 (2007): International Journal of Computers Communications & Control (June)

Section

Articles

License

ONLINE OPEN ACCES: Acces to full text of each article and each issue are allowed for free in respect of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0.

You are free to:

-Share: copy and redistribute the material in any medium or format;

-Adapt: remix, transform, and build upon the material.

The licensor cannot revoke these freedoms as long as you follow the license terms.

 

DISCLAIMER: The author(s) of each article appearing in International Journal of Computers Communications & Control is/are solely responsible for the content thereof; the publication of an article shall not constitute or be deemed to constitute any representation by the Editors or Agora University Press that the data presented therein are original, correct or sufficient to support the conclusions reached or that the experiment design or methodology is adequate.

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.