A generic and systematic procedure to derive a simplified model from the anaerobic digestion model No. 1 (ADM1)

International audienceThe anaerobic digestion model No.1 (ADM1) developed by the IWA Task Group for mathematical modellingof anaerobic digestion processes Batstone et al. [1] is a structural model which describes the mainbiochemical and physicochemical processes. For such purposes, other models have been proposed todescribe anaerobic processes with a reduced set of parameters, state variables and processes. Amongthem, the anaerobic model No. 2 (AM2) proposed by Bernard et al. [2] which describes the degradationof soluble organic compounds, appears as a model well-suited for control and optimization applications.In this work, we aimed at obtaining a model of reduced dimensions on the basis of which to synthesizeregulators or observers with guarantees of performance, stability and robustness. Specifically, our contributionis twofold. First, a modified version of the AM2 is proposed while preserving the simplicity ofthe new model “AM2HN”. Second, we propose a systematic and generic state association procedure inorder to obtain such a simplified model from any validated ADM1.Simulations and comparisons with the predictions of theADM1for a case study involving the anaerobicdigestion of waste sludge are presented along with satisfactory results