Jan 19, 2020   7:53 a.m. Drahomíra, Mário, Sára
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prof. Ing. Miroslav Fikar, DrSc.
Identification number: 3374
University e-mail: miroslav.fikar [at] stuba.sk
Rektor - Vedenie STU (REKP REK)
Profesor DrSc. - Department of Information Engineering and Process Control (IIEAM FCFT)
Director - Department of Information Engineering and Process Control (IIEAM FCFT)
Chancellor - Slovak university of technology in Bratislava
External colleague - Institute of Applied Informatics, Automation and Mechatronics (MTF)

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Basic information

Basic information about a final thesis

Type of thesis: Dissertation thesis
Thesis title:Optimal Control of Membrane Processes in the Presence of Fouling
Written by (author): Ing. Martin Jelemenský, PhD.
Department: Institute of Information Engineering, Automation and Mathematics (FCFT)
Thesis supervisor: prof. Ing. Miroslav Fikar, DrSc.
Opponent 1:prof. Ing. Alena Kozáková, PhD.
Opponent 2:prof. M. Abderrazak Latifi
Final thesis progress:Final thesis was successfully defended.

Additional information

Additional information about the final thesis follows. Click on the language link to display the information in the desired language.

Language of final thesis:English

Slovak        English

Title of the thesis:Optimal Control of Membrane Processes in the Presence of Fouling
Summary:This works deals with optimal control of membrane processes. More concretely, we focus our attention to optimal operation of batch membrane diafiltration processes in the presence of fouling. Diafiltration method is used for the separation of two or more solutes based on the molecular size difference from a solution. The goal is to increase the concentration of valuable components and simultaneously decrease the concentration of impurities. This goal is achieved by determination of the addition of a solute free solvent (diluant) into the feed tank to reach the final concentration in minimum time. We use Pontryagin's minimum principle to solve the time-optimal control problem analytically. By using the analytical approach we are able to determine the control structure as a sequence of arcs. In this work two cases are discussed. In the first we consider that the fouling decreases the membrane area. In this case we are able to obtain the control structure only but the individual time durations have to be determined numerically. In the second case we assume that fouling causes a gradual decrease of the permeate flux. The optimal control structure is fully analytical with prescribed control sequences and individual time intervals. We apply the theoretical results to demonstrate applications to different classes of fouling models. We also compare the derived time-optimal operation with traditional used operations to demonstrate the benefits of the proposed methodology.
Key words:Dynamic Optimization, Pontryagin's Minimum Principle, Membrane Separation Processes, Membrane Fouling, Optimal Control

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