Download Automatic Control of Bioprocesses (Control Systems, Robotics by Denis Dochain PDF

By Denis Dochain

Giving an outline of the demanding situations within the keep watch over of bioprocesses, this accomplished booklet provides key leads to quite a few fields, together with: dynamic modeling; dynamic homes of bioprocess versions; software program sensors designed for the online estimation of parameters and nation variables; keep an eye on and supervision of bioprocesses.

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When N is very large, the increase in the value of the denominator will be proportional to the increase in the value of the objective function Jopt which is typically a sum N of errors, raised to the power of two. 21). We will now concentrate on the methods, which enable the reduction of V . Different approaches have been developed for planning experiments on the basis of covariance matrix V , or equivalently, on the basis of Fisher information matrix F , via the optimization of certain scalar measurements of these matrices [MUN 91]: – A – optimal design criterion: min[tr(F −1 )] – Modified A – optimal design criterion: max[tr(F )] – D – optimal design criterion: max[det(F )] – E – optimal design criterion: max[λmin (F )] – Modified E – optimal design criterion: min λmax (F ) λmin (F ) where λmin (F ) and λmax (F ) are the lowest and the highest eigenvalues of the Fisher information matrix, respectively.

20, pp. 427–434, 1986. [MON 42] J. M ONOD, Recherches sur la Croissance des Cultures Bactériennes, Hermann, Paris, 1942. E. M OSEY, “Mathematical modelling of the anaerobic digestion process: regulatory mechanisms for the formation of short-chain volatile acids from glucose”, Water Science and Technology, vol. 15, pp. 209–232, 1983. [PAV 94] A. PAVÉ, Modélisation en Biologie et en Ecologie, Aléas, Lyon, 1994. [QUE 99] I. Q UEINNEC, D. L ÉONARD and C. B EN YOUSSEF, “State observation for fedbatch control of phenol degradation by R alstonia eutropha”, in Proc.

In theory, validation of a model consists of verifying statistical assumptions: differences between predictions and measurements must follow a normal law of zero average [WAL 97]. Practically, and considering the difficulty of validating in the strictest sense the biotechnological models, we are satisfied with a good visual adequacy. We can possibly reinforce this subjective criterion by an analysis of correlation between predictions and measurements. 7. 1. 2 that the models must be constructed, in such a manner as to respect constraints as positivity of state variables.

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