Optimal production of microalgae in the presence of grazers.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F22%3A00562604" target="_blank" >RIV/60077344:_____/22:00562604 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jprocont.2022.09.001" target="_blank" >https://doi.org/10.1016/j.jprocont.2022.09.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jprocont.2022.09.001" target="_blank" >10.1016/j.jprocont.2022.09.001</a>
Alternative languages
Result language
angličtina
Original language name
Optimal production of microalgae in the presence of grazers.
Original language description
Zooplankton contamination represents a major constraint in large-scale microalgal cultivation systems. While zooplankton contamination cannot be avoided, their development can be controlled by regulat-ing the dilution rate. However, it is not straightforward to find the best control strategy for the dilution rate. Low dilution rates (or long retention times) favor grazer development and high dilution rates avoid their establishment at the risk of reducing microalgal productivity. Furthermore, the presence of periodic regimes arising from the interaction predator-prey makes it unclear if the presence of grazers must be completely avoided. In this paper, we study the role of the dilution rate in the control of zooplankton populations and in the optimization of biomass productivity. We show that in the long-term operation (static optimal control problem or SOCP), the optimal constant dilution rate must ensure the eradication of the zooplankton population. In the case of time-varying dilution rate, we numerically solve an optimal control problem (OCP) over a finite interval of time. We find that the optimal solution approaches the solution for the SOCP most of the time, except when zooplankton actively avoid the pond outflow. Based on these results, we propose a simple sub-optimal feedback control that approximately matches the solution of the OCP when the initial concentration of grazers is low.(c) 2022 Elsevier Ltd. All rights reserved.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/EF18_053%2F0016982" target="_blank" >EF18_053/0016982: International mobilities for researchers and administrative employees of Biology Centre</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Process Control
ISSN
0959-1524
e-ISSN
1873-2771
Volume of the periodical
118
Issue of the periodical within the volume
Oct
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
153-164
UT code for WoS article
000863338700002
EID of the result in the Scopus database
2-s2.0-85138588639