About the classical and structural controllability and observability of a common class of activated sludge plants
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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19
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Journal of Process Control, Volume 111, pp. 8-26
Abstract
In this work, the stability, controllability and observability properties of a class of activated sludge plants are analysed. Specifically, the five biological reactors and the secondary settler in the Benchmark Simulation Model no. 1 (BSM1) are studied. For the task, we represented the plant as a dynamical system consisting of 145 state variables, 13 controls, 14 disturbances and 15 outputs and as a complex networks to study its full-state controllability and observability properties from a structural and a classical point of view. By analysing the topology of the network, we show how this class of systems is controllable but not observable in a structural sense, and thus how it is controllable but not observable in a classical sense for almost all possible realisations. We also show how a linearisation commonly used in the literature is neither full-state controllable nor full-state observable in the classical sense. The control and observation efforts are quantified in terms of energy- and centrality-based based metrics.Description
Funding Information: This study was done within the project Control4Reuse, part of the IC4WATER programme of the Water Challenges for a Changing World Joint Programme Initiative (Water JPI). The authors thank FUNCAP for the support within this initiative. Publisher Copyright: © 2022 The Authors
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Neto, O B L, Mulas, M & Corona, F 2022, 'About the classical and structural controllability and observability of a common class of activated sludge plants', Journal of Process Control, vol. 111, pp. 8-26. https://doi.org/10.1016/j.jprocont.2021.12.013