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Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis
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SYSNO ASEP 0342103 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis Author(s) Čelikovský, Sergej (UTIA-B) RID, ORCID
Papáček, Štěpán (MBU-M)
Cervantes-Herrera, A. (MX)
Ruiz-León, J. (MX)Source Title IEEE Transactions on Automatic Control. - : Institute of Electrical and Electronics Engineers - ISSN 0018-9286
Roč. 55, č. 3 (2010), s. 767-772Number of pages 6 s. Language eng - English Country US - United States Keywords Photosynthetic factory (PSF) ; singular perturbation ; optimal control Subject RIV BC - Control Systems Theory R&D Projects GA102/08/0186 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) AV0Z50200510 - MBU-M (2005-2011) UT WOS 000275368100023 EID SCOPUS 77949424085 DOI 10.1109/TAC.2010.2040498 Annotation The problem of the optimal microalgal growth of the so-called photosynthetic factory (PSF) is considered here. The objective is to maximize the photosynthetic production rate (the specific growth rate of microalgae) by manipulating the irradiance. Using the singular perturbation based reduction, an analytical solution of such an optimal control problem is obtained and its infinite horizon analysis shows that the optimal solution on large time intervals tends to the optimal steady state of PSF. This is a mathematical confirmation of the hypothesis often mentioned in biotechnological literature. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2011
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