Dec 15, 2019   6:40 p.m. Ivica
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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:Tracking of Necessary Conditions of Optimality in Real-time Dynamic Optimisation of Batch Processes
Written by (author): Ing. Marián Podmajerský, PhD.
Department: Institute of Information Engineering, Automation and Mathematics (FCFT)
Thesis supervisor: prof. Ing. Miroslav Fikar, DrSc.
Opponent 1:prof. Ing. Boris Rohaľ-Ilkiv, CSc.
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:Tracking of Necessary Conditions of Optimality in Real-time Dynamic Optimisation of Batch Processes
Summary:This work deals with optimal control of batch processes in the presence of uncertainty. An integrated two-time-scale control is proposed, whereby a run-to-run adaptation strategy with adaptation of the terminal constraints is implemented at the slow time scale, and is integrated with a neighbouring-extremal controller that operates at the fast time scale and performs further on-line corrections. This control scheme is especially suitable for repeatable batch processes with the fast changes in process dynamics. In addition, this scheme can be easily realised in real batch processes as the required computational power is low. Particularly, the only computation performed in real-time at each sampling time is a solution of a linear two-point boundary value problem. By sacrificing a bit of accuracy, all the required controlled designs and an accompanying computations might by done off-line. In the presence of uncertainty, the necessary conditions of optimality no longer hold. The core idea is to use the so called NCO-tracking approach that pushes the gradients caused by an uncertainty to zero. Neighbouring-extremal controller is approximated controller, i.e. it is based on linearisation of the nominal solution. Because of a lower performance of such control solution in chemical applications, the need for a supplementary adaptation is obvious. Our proposed control scheme thus corrects approximated control by another control. Run-to-run adaptation strategy updates the model between batches according to the latest constraints measurements and re-optimises the nominal solution. This solution then provides the reference trajectories for neighbouring-extremal controller. The thesis describes essentials to understand the basic building blocks of the proposed control scheme. In particular, the first part introduces the nominal optimisation, i.e optimisation under ideal circumstances without the influence of the uncertainty. Next part discusses the efficient algorithms that deals with the uncertainty. The proposed control is verified on real process. It is shown that the integrated two-time-scale control scheme has faster convergence rate and better performance in comparison to the other tested approaches.
Key words:optimal control, necessary conditions of optimality, batch process

Current level of public release
access to digital copies of seminar papers and theses on-line via Internet with no restrictions, incl. the right to provide sub-lincence to a third person for study, scientific, educational and information purposes.

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