0342103 20240111140739.020100413235959.9 000275368100023 77949424085 10.1109/TAC.2010.2040498 6 s. cav_un_epca*02567210018-9286553 (2010)767-772Institute of Electrical and Electronics Engineers Photosynthetic factory (PSF) singular perturbation optimal control cav_un_auth*0101074 Čelikovský Sergej Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0104695 Papáček Štěpán MBU-M Mikrobiologický ústav AV ČR, v. v. i. cav_un_auth*0261443 Cervantes-Herrera A. MX cav_un_auth*0213231 Ruiz-León J. MX textový dokument http://library.utia.cas.cz/separaty/2010/TR/celikovsky-0342103.pdf 468 kB GA102/08/0186 GA ČR CZ cav_un_auth*0239127 CEZ:AV0Z10750506 CEZ:AV0Z50200510 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. 2011 BC 4 A 4a 20231122134005.4 http://hdl.handle.net/11104/0184927 AUTOMATIONCONTROLSYSTEMS|ENGINEERINGELECTRICALELECTRONIC 3.077 0.214 >10.0 0.03847 1.343 18913 364 162 2.939 23.56 4.33 Q1 95.383 83.706 Q1* Q1 2010 Soubory v repozitáři: celikovsky-0342103.pdf 77949424085 SCOPUS 000275368100023 WOS textový dokument 468 kB cav_un_epca*0256721 IEEE Transactions on Automatic Control 0018-9286 1558-2523 Roč. 55 č. 3 2010 767 772 Institute of Electrical and Electronics Engineers