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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. (cs)
  • 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.
  • 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. (en)
Title
  • Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and its Infinite Time Horizon Analysis
  • Řešení optimálního růstu řas pomocí metody singulárních perturbací a jeho analýza na neomezeném časovém úseku (cs)
  • Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and its Infinite Time Horizon Analysis (en)
skos:prefLabel
  • Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and its Infinite Time Horizon Analysis
  • Řešení optimálního růstu řas pomocí metody singulárních perturbací a jeho analýza na neomezeném časovém úseku (cs)
  • Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and its Infinite Time Horizon Analysis (en)
skos:notation
  • RIV/67985556:_____/08:00317945!RIV09-GA0-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/08/0186), Z(AV0Z10750506)
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http://linked.open...aciTvurceVysledku
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  • 394995
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/08:00317945
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  • singular perturbation; optimal control; microalgal gowth (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [B013C8C0D275]
http://linked.open...v/mistoKonaniAkce
  • Cancum
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  • Cancum
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 47th IEEE Conference on Decision and Control
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http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Čelikovský, Sergej
  • Papáček, Š.
  • Alejandro Cervantes, H.
  • Javier Ruiz, L.
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • IEEE
https://schema.org/isbn
  • 978-1-4244-3124-3
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