Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis

0342103 - ÚTIA 2011 RIV US eng J - Článek v odborném periodiku
Čelikovský, Sergej - Papáček, Štěpán - Cervantes-Herrera, A. - Ruiz-León, J.
Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis.
IEEE Transactions on Automatic Control. Roč. 55, č. 3 (2010), s. 767-772. ISSN 0018-9286. E-ISSN 1558-2523
Grant CEP: GA ČR(CZ) GA102/08/0186
Výzkumný záměr: CEZ:AV0Z10750506; CEZ:AV0Z50200510
Klíčová slova: Photosynthetic factory (PSF) * singular perturbation * optimal control
Kód oboru RIV: BC - Teorie a systémy řízení
Impakt faktor: 1.950, rok: 2010
http://library.utia.cas.cz/separaty/2010/TR/celikovsky-0342103.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0184927