Dec 14, 2019   3:12 a.m. Branislava, Bronislava
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prof. Ing. Miroslav Fikar, DrSc.
Identification number: 3374
University e-mail: miroslav.fikar [at]
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 Operation of Batch Membrane Processes
Written by (author): doc. Ing. Radoslav Paulen, PhD.
Department: Department of Information Engineering and Process Control (IIEAM FCFT)
Thesis supervisor: prof. Ing. Miroslav Fikar, DrSc.
Opponent 1:prof. Ing. Alena Kozáková, PhD.
Opponent 2:prof. Ing. Antonín Víteček, PhD.
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 Operation of Batch Membrane Processes
Summary:This work considers the problem of finding the optimal control of batch membrane diafiltration processes. Diafiltration is known as an effective method to separate at least two solutes from given solution (liquor) at the base of their different molecular (particle) effective sizes. The goal is to concentrate (increase the concentration of) the solute(s) with bigger particle size(s) usually called macro-solute and to remove impurities, i.e. to dilute (decrease the concentration of) solute(s) with smaller particle size(s) traditionally denoted as micro-solute. The whole process is described by the set of ordinary differential equations and thus methods of dynamic optimization (open-loop optimal control) can be used to establish optimal operation of these processes. Our task is to determine how a solute-free solvent (diluant) should be dynamically added to feed solution tank throughout the process run to achieve given separation goal in minimum time or with minimum amount of added diluant. We use analytical approach, Pontryagin's Minimum Principle, to identify candidates for optimal control taking into account the necessary conditions for optimality. Based on these, we derive optimal operational policies for batch membrane processes of several types. Direct (discrete) numerical method of dynamic optimization, Control Vector Parameterization, is then used to confirm the theoretical findings and to obtain the optimal diluant utilization for particular process and instance.
Key words:Optimal Control, Dynamic Optimization, Membrane Filtration, Pontryagin's Minimum Principle, Control Vector Parameterization, Diafiltration

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