Abstract
The use of an extended Kalman filter for state estimation in biological wastewater treatment processes is discussed. The application of the technique requires an adequate mechanistic dynamic model and the identification and modelling of the major sources of stochastic disturbances in the process. The filter allows the on-line tracking of process variables which are not directly measurable. The use of an extended Kalman filter is illustrated through a simulated application to a high rate anaerobic wastewater treatment process.
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References
Andrews, J. F.: 1969, ‘Dynamic Model of the Anaerobic Digestion Process’, ASCE J. San. Eng. Div. 95 (n.SA1), 95–116.
Andrews, J. F. and Graef, S. P.: 1971, in R. F.Gould (ed.), ‘Dynamic Modelling and Simulation of the Anaerobic Digestion Process’, Advances in Chemistry Series 105, American Chemical Society, New York.
Bastin, D., Dochain, D., Haest, M., Installe, M., and Opdenacker, Ph.: 1982, ‘Modelling and Adaptive Control of a Continuous Anaerobic Fermentation Process’, Proceedings of the 1st IFAC Workshop on Modelling and Control of Biotechnical Processes, Helsinki, Finland, August 17–19.
Beck, M. B.: 1981, ‘Operating Estimation and Prediction of Nitrification Dynamics in the Activated Sludge Process’, Water Research 15, 1313–1330.
Bellgardt, K. H., Kuhlmann, W., Meyer, H. D., Schugerl, K., Thomas, M.: 1986, ‘Application of an Extended Kalman Filter for State Estimation of a Yeast Fermentation’, IEE Proceedings 133 (5), Pt. D., 226–234.
Collins, A. S. and Gilliland, B. E.: 1977, ‘Control of the Anaerobic Digestion Process’, ASCE J. San. Eng. Div. 100, (EE2), 487–506.
Graef, S. P. and Andrews, J. F.: 1974, ‘Stability and Control of Anaerobic Digestion’, Journal WPCF 46 (4), 666–683.
Hill, D. T. and Barth, C. L.: 1977, ‘A Dynamic Model for Simulation of Animal Waste Digestion’, Journal WPCF 49 (10), 2129–2143.
Holmberg, A. and Olsson, G.: 1985, ‘Simultaneous On-line Estimation of Oxygen Transfer Rate and Respiration Rate’, Proceedings of the 1st IFAC Symposium on Modelling and Control of Biotechnological Processes, Noordwijkerhout, The Netherlands, Dec. 11–13.
Rozzi, A., DiPinto, A. C., and Brunetti, A.: 1985a, ‘Anaerobic Process Control by Bicarbonate Monitoring’, Env. Tech. Letters 6, 594–601.
Rozzi, A., Merlini, S., and Passino, R.: 1985b, ‘Development of a Four Population Model of the Anaerobic Degradation of Carbohydrates’, Env. Tech. Letters 6, 610–619.
San, K.-Y. and Stephanopoulos, G.: 1984, ‘Studies on On-line Bioreactor Identification II. Numerical and Experimental Results’, Biotechnology and Bioengineering 26, 1189–1197.
Svrcek, W. Y., Elliotand, R. F., and Zajic, J. E.: 1974, ‘The Extended Kalman Filter Applied to a Continuous Culture Model’, Biotechnology and Bioengineering 16, 827–846.
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Jones, R.M., Macgregor, J.F. & Murphy, K.L. State estimation in wastewater engineering: Application to an anaerobic process. Environ Monit Assess 13, 271–282 (1989). https://doi.org/10.1007/BF00394233
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DOI: https://doi.org/10.1007/BF00394233