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A three‐dimensional finite element model for the control of certain non‐linear bioreactors
Authors:J. Tervo  M. Vauhkonen  P. J. Vauhkonen  J. P. Kaipio
Abstract:This paper deals with the dynamics of non‐linear distributed parameter fixed‐bed bioreactors. The model consists of a pair of non‐linear partial differential (evolution) equations. The true spatially three‐dimensional situation is considered instead of the usual one‐dimensional approximation. This enables one to take into account the effects of flow profiles and the true location of the measurement transducer. The (output) evolution of the corresponding open‐loop control system is simulated. Furthermore, the associated closed‐loop system with respect to the relevant output function is considered. Especially, the asymptotic output tracking is found to be successful by applying the usual process based on the state feedback linearization. Copyright © 2000 John Wiley & Sons, Ltd.
Keywords:finite element approximation (of non‐linear systems)  feedback linearization  asymptotic output tracking  distributed parameter system  fixed‐bed bioreactor
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