bibtype C - Conference Paper (international conference)
ARLID 0317945
utime 20240111140713.3
mtime 20090113235959.9
title (primary) (eng) Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and its Infinite Time Horizon Analysis
specification
page_count 6 s.
media_type DVD Rom
serial
ARLID cav_un_epca*0317901
ISBN 978-1-4244-3124-3
title Proceedings of the 47th IEEE Conference on Decision and Control
page_num 2662-2667
publisher
place Cancum
name IEEE
year 2008
title (cze) Řešení optimálního růstu řas pomocí metody singulárních perturbací a jeho analýza na neomezeném časovém úseku
keyword singular perturbation
keyword optimal control
keyword microalgal gowth
author (primary)
ARLID cav_un_auth*0101074
name1 Čelikovský
name2 Sergej
institution UTIA-B
full_dept Department of Control Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0014364
name1 Papáček
name2 Š.
country CZ
author
ARLID cav_un_auth*0245743
name1 Alejandro Cervantes
name2 H.
country MX
author
ARLID cav_un_auth*0245744
name1 Javier Ruiz
name2 L.
country MX
source
source_type textový dokument
source_size 279 kB
cas_special
project
project_id GA102/08/0186
agency GA ČR
country CZ
ARLID cav_un_auth*0239127
research CEZ:AV0Z10750506
abstract (eng) The problem of the optimal microalgal growth is considered here. The objective is to maximize the 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 (PSF) resulting into the second order bilinear system which is, nevertheless, known in biotechnological literature to comprise many important features of microalgal growth. To obtain the solution of optimal control problem, the singular perturbation approach is used here to reduce fast components of system dynamics leading to a less dimensional system with more complex performance index which allows a nice analytical solution. Its infinite horizon analysis shows that the optimal solution on large time intervals tends to the optimal steady state of PSF thereby supporting the hypothesis often mentioned in the biotechnological literature.
abstract (cze) Problém optimálního růstu řas je řešen pomocí metody singulárních perturbací a je pak analyzován na neomezeném časovém úseku. Takto je matematicky potvrzena dlouholetá empirická hypotéza biologů, že na dlouhých časových intervalech je optimální řízení téměř konstantní.
action
ARLID cav_un_auth*0245707
name 47th IEEE Conference on Decision and Control
place Cancum
dates 09.12.2008-11.12.2008
country MX
reportyear 2009
RIV BC
permalink http://hdl.handle.net/11104/0167455
arlyear 2008
mrcbU56 textový dokument 279 kB
mrcbU63 cav_un_epca*0317901 Proceedings of the 47th IEEE Conference on Decision and Control 978-1-4244-3124-3 2662 2667 Cancum IEEE 2008