2016
DOI: 10.3390/pr4040043
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Combined Estimation and Optimal Control of Batch Membrane Processes

Abstract: Abstract:In this paper, we deal with the model-based time-optimal operation of a batch diafiltration process in the presence of membrane fouling. Membrane fouling poses one of the major problems in the field of membrane processes. We model the fouling behavior and estimate its parameters using various methods. Least-squares, least-squares with a moving horizon, recursive least-squares methods and the extended Kalman filter are applied and discussed for the estimation of the fouling behavior on-line during the … Show more

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Cited by 4 publications
(4 citation statements)
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References 31 publications
(36 reference statements)
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“…Measurement of the fluid flow at the desired pressure drop. The measurement of the fluid flow was repeated to control possible changes in the filter characteristics due to fouling [32]. The fouling might have been caused by some algae [33] or micro-corrosion in the water tank.…”
Section: Testing Proceduresmentioning
confidence: 99%
“…Measurement of the fluid flow at the desired pressure drop. The measurement of the fluid flow was repeated to control possible changes in the filter characteristics due to fouling [32]. The fouling might have been caused by some algae [33] or micro-corrosion in the water tank.…”
Section: Testing Proceduresmentioning
confidence: 99%
“…13,17,21 However, the standard LS approach assumes that different output data have same contributions to the estimation of unknown parameters. 22 Therefore, the weighted least-squares (WLS) method was developed, whereby suitable weights are assigned to the relevant residuals. 19,23 The relatively compact form and high computational efficiency of the WLS approach have led to its widespread application to parameter estimation problems in various chemical processes.…”
Section: Introductionmentioning
confidence: 99%
“…In recent decades, a great number of methods have been developed for implicit parameter estimation. Among these, the most popular one is the least-squares (LS) approach, in which the objective function is generally defined as a summation of the 2-norm residuals of output variables between model prediction and measurement. ,, However, the standard LS approach assumes that different output data have same contributions to the estimation of unknown parameters . Therefore, the weighted least-squares (WLS) method was developed, whereby suitable weights are assigned to the relevant residuals. , The relatively compact form and high computational efficiency of the WLS approach have led to its widespread application to parameter estimation problems in various chemical processes. The WLS approach assumes that the input variables can be precisely measured and that there are no errors in the input data.…”
Section: Introductionmentioning
confidence: 99%
“…This special issue on real-time optimization (http://www.mdpi.com/journal/processes/special_ issues/real_time_optimization) includes both methodological and practical contributions [1][2][3][4][5][6][7][8][9][10][11][12][13]. All seven methodological contributions deal with explicit RTO schemes that repeat the optimization when new measurements become available.…”
mentioning
confidence: 99%