Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and its Infinite Time Horizon Analysis

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F08%3A00317945" target="_blank" >RIV/67985556:_____/08:00317945 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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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 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 inthe 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.

Czech name

Řešení optimálního růstu řas pomocí metody singulárních perturbací a jeho analýza na neomezeném časovém úseku

Czech description

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.

Type

D - Article in proceedings

CEP classification

BC - Theory and management systems

OECD FORD branch

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Project

<a href="/en/project/GA102%2F08%2F0186" target="_blank" >GA102/08/0186: Algorithms for Complex Systems Analysis and Control Design</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

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

Article name in the collection

Proceedings of the 47th IEEE Conference on Decision and Control

ISBN

978-1-4244-3124-3

ISSN

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e-ISSN

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Number of pages

6

Pages from-to

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Publisher name

IEEE

Place of publication

Cancum

Event location

Cancum

Event date

Dec 9, 2008

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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