Title
Model for Photosynthesis and Photoinhibition: Parameter Identification Based on the Harmonic Irradiation $O_{2}$ Response Measurement
Abstract
A method for parameter identification of a model describing the growth of the algae is presented. The method is based on the description in the form of the so-called photosynthetic factory. The experimental data are gained by measuring the steady-state photosynthetic production when the input of the photosynthetic factory (light intensity) is a harmonic signal. Estimation of parameters is based on a sufficient number of experiments compared with simulated data via the least-squares technique. As the input signal is harmonic and the dynamics of the unforced system is exponentially stable, the resulting asymptotical steady-state trajectory of the photosynthetic factory is also periodic and can be computed via determining an appropriate center manifold graph by solving the corresponding first-order partial differential equation. The latter is performed by the finite-element method. The application of the proposed method is demonstrated on an example using real experimental data.
Year
DOI
Venue
2008
10.1109/TAC.2007.911345
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Parameter estimation,Kinetic theory,Steady-state,Production facilities,Bioreactors,Algae,Gain measurement,Computational modeling,Partial differential equations,Finite element methods
Journal
53
Issue
ISSN
Citations 
Special Issue
0018-9286
6
PageRank 
References 
Authors
0.91
3
3
Name
Order
Citations
PageRank
Branislav Rehák1298.92
Sergej Celikovský235997.30
¿t¿pÁn Papcek360.91