Optimal production of microalgae in the presence of grazers.

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Optimal production of microalgae in the presence of grazers.

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Optimal production of microalgae in the presence of grazers.

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF18_053%2F0016982" target="_blank" >EF18_053/0016982: Mezinárodní mobility výzkumných a administrativních pracovníků Biologického centra</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Process Control

ISSN

0959-1524

e-ISSN

1873-2771

Svazek periodika

118

Číslo periodika v rámci svazku

Oct

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

12

Strana od-do

153-164

Kód UT WoS článku

000863338700002

EID výsledku v databázi Scopus

2-s2.0-85138588639