Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis
Result description
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. Usingthe 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 amathematical confirmation of the hypothesis often mentioned in biotechnological literature.
Keywords
Photosynthetic factory (PSF)singular perturbationoptimal control
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/67985556:_____/10:00342103 RIV/60076658:12640/10:00012185
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis
Original language description
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. Usingthe 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 amathematical confirmation of the hypothesis often mentioned in biotechnological literature.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
GA102/08/0186: Algorithms for Complex Systems Analysis and Control Design
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Transactions on Automatic Control
ISSN
0018-9286
e-ISSN
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Volume of the periodical
55
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
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UT code for WoS article
000275368100023
EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BC - Theory and management systems
Year of implementation
2010