Automatic Control of Bioprocesses (Control Systems, Robotics by Denis Dochain
By Denis Dochain
Giving an summary of the demanding situations within the keep watch over of bioprocesses, this entire e-book offers key leads to quite a few fields, together with: dynamic modeling; dynamic homes of bioprocess types; software program sensors designed for the online estimation of parameters and nation variables; keep watch over and supervision of bioprocesses.
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Extra resources for Automatic Control of Bioprocesses (Control Systems, Robotics and Manufacturing)
4. Global validation of the model This is the most standard way to validate a model, by quantitatively comparing the results obtained by the model with experimental data. In this approach, the model is considered as a whole. If the adequacy between model and experiment is not good, it will be difficult to determine if the problem is mainly structural (bad assumptions on the reaction scheme), related to mathematical expressions used for kinetics, or if the parameters of the model are not correctly estimated.
Q(ξ) can be compared to a linear expression as follows: T T v + Q(ξ) ≥ av + ξ + b where a is a positive real b ∈ Rn . 3 (H4). Mass supply in gaseous form F is bounded: F ≤ Fmax , in accordance with physical reality. T This hypothesis is verified if v + Q(ξ) = 0, or if Q(ξ) is described by Henry’s law. 4. If hypothesis (H1), (H2), (H3) and (H4) are verified, then the system is of BIBS type. Proof. 51) T + Dwin +v + Fmax −b D+a . wi+ ξi is bounded. As wi+ > 0, state variables ξi are bounded. 2. 1.
It is all the more important as we saw that it was necessary to make a great number of often speculative assumptions. Before using a model, it is crucial to validate it correctly. This validation stage must be kept on through the identification phase which will be discussed in Chapter 6. The general objective of validation is to verify that the model responds well to the objectives laid down. More precisely, we will see how to individually test the assumptions which were made during the construction of the model.