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Optimal Feedback Control of Microalgal Growth Based on the Slow Reduction

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    0309851 - ÚTIA 2009 RIV AT eng C - Conference Paper (international conference)
    Papáček, Š. - Čelikovský, Sergej - Ruiz-León, J.
    Optimal Feedback Control of Microalgal Growth Based on the Slow Reduction.
    [Optimální zpětnovazebně řízení růstu ras pomoci pomalé redukce.]
    Preprints of the 17th IFAC World Congress. Laxenburg: IFAC, 2008, s. 14588-14593. ISBN 978-3-902661-00-5.
    [17th IFAC World Congress. Seoul (KR), 06.07.2008-11.07.2008]
    R&D Projects: GA ČR(CZ) GA102/08/0186
    Institutional research plan: CEZ:AV0Z10750506
    Keywords : optimal control * bioreactor
    Subject RIV: BC - Control Systems Theory

    A state feedback law is proposed for on-line optimization of microalgal growth in a photobioreactor in the presence of non-measurable disturbances. The objective is to maximize a photosynthetic production rate (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. The reduction to a slow dynamics is used to derive analytically the approximation of the optimal feedback control. The analysis of the obtained explicit formula shows that the optimal feedback control actually performs optimal transfer to a constant optimal irradiance developed earlier but does not achieve principally better performance than the optimal control within the class of constant irradiance. Therefore, by reducing fast dynamics one can not reveal possible more complex optimal solutions.

    Je navrženo optimalní zpětnovazebné řízení procesu růstu řas, o to pomocí redukce původního modelu na menší dimenzi prostřednictvím zanedbání rychlé dynamiky.
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