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Optimal Feedback Control of Microalgal Growth Based on the Slow Reduction
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SYSNO ASEP 0309851 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Optimal Feedback Control of Microalgal Growth Based on the Slow Reduction Title Optimální zpětnovazebně řízení růstu ras pomoci pomalé redukce Author(s) Papáček, Š. (CZ)
Čelikovský, Sergej (UTIA-B) RID, ORCID
Ruiz-León, J. (MX)Source Title Preprints of the 17th IFAC World Congress, Part 1. - Laxenburg : IFAC, 2008 - ISBN 978-3-902661-00-5 Pages s. 14588-14593 Number of pages 6 s. Publication form DVD rom - DVD rom Action 17th IFAC World Congress Event date 06.07.2008-11.07.2008 VEvent location Seoul Country KR - Korea, Republic of Event type WRD Language eng - English Country AT - Austria Keywords optimal control ; bioreactor Subject RIV BC - Control Systems Theory R&D Projects GA102/08/0186 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) Annotation A state feedback law is proposed for on-line optimization of microalgal growth in a photobioreactor in the presence of non-measurable disturbances. The objective is to maximize a photosynthetic production rate (specific growth rate of microalgae) by manipulating the irradiance. The model describing the growth of microalgae is based on the mechanistic description in the form of the so-called photosynthetic factory. The reduction to a slow dynamics is used to derive analytically the approximation of the optimal feedback control. The analysis of the obtained explicit formula shows that the optimal feedback control actually performs optimal transfer to a constant optimal irradiance developed earlier but does not achieve principally better performance than the optimal control within the class of constant irradiance. Therefore, by reducing fast dynamics one can not reveal possible more complex optimal solutions. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2009
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