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The application of the method and the advantages of using the reduced models for model-based control are illustrated through a case study.
By using the reduced models in the simulation only when they are valid the Adaptive Chemistry solution matches the solution obtained using the detailed mechanism.
However, the interaction of 'abundance' and 'origin' was not significant (F1,29 = 1.235, R = 0.034, P = 0.255) in either of the two models and therefore, we continued with the analysis using the reduced models (i.e. by excluding the interaction but keeping the factor 'replicate') (Table 4).
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Conventional proportional and integral (PI) constant dissolved oxygen set-point control and feedforward cascade dissolved oxygen set-point control are evaluated using the reduced model of activated sludge model no. 1 and reduced IWA simulation benchmark.
Predictions using the reduced model were verified using results from the full mechanism and empirical correlations from experiments.
Finally, a periodic output feedback control for the high order model is designed using the reduced model.
The backstepping control for the lateral control and the compensation of the system parameter and uncertainties is developed using the reduced model.
A parametric study using the reduced model is then applied to analyze the sensitivity of the optimal reactor design to changes in selected operating and kinetic parameters.
An optimization framework is then built using the reduced model based on key selected variables, which is optimized to find optimal conditions and performance of the process.
Additionally, the quality of the results obtained using the reduced model elects it as a valuable tool for studies of electromagnetic transients involving interaction of lightning and grounding grids.
We therefore determined the effect of each treatment on sleep for each line/sex combination separately using the reduced model y = μ+T+E, where T is the treatment (control, deprived, etc).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com