2010
DOI: 10.2202/1542-6580.2117
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Constrained Hybrid Neural Modelling of Biotechnological Processes

Abstract: International audienceWe propose a general methodology to develop a hybrid neural model for a wide range of biotechnological processes. The hybrid neural modelling approach combines the flexibility of a neural network representation of unknown process kinetics with a global mass-balance based process description. The hybrid model is built in such a way that its trajectories keep their physical and biological meaning (mass balance, positivity of the concentrations, boundness, saturation or inhibition of kinetic… Show more

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Cited by 4 publications
(7 citation statements)
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“…First principles constrained loss function (FPCLF) [86], [48], [13], [47], [91] First principles constrained model design (FPCMD) [50], [92], [13], [93], [94], [95], [28], [96], [97] First principles constrained output models (FPCOMs) [57], [58] [98], [99], [57] First principles initialized models (FPIMs) [90] [ 49] [ 46], [100], [17], [101], [63], [90], [102], [103], [24] uncertain FPs model are further split into categories due to the nature of the uncertainty. The uncertainty enters in the form of parametric uncertainty in lumped parameter models while in residual models it enters as structural uncertainty of FP model.…”
Section: Cstr Modelingmentioning
confidence: 99%
“…First principles constrained loss function (FPCLF) [86], [48], [13], [47], [91] First principles constrained model design (FPCMD) [50], [92], [13], [93], [94], [95], [28], [96], [97] First principles constrained output models (FPCOMs) [57], [58] [98], [99], [57] First principles initialized models (FPIMs) [90] [ 49] [ 46], [100], [17], [101], [63], [90], [102], [103], [24] uncertain FPs model are further split into categories due to the nature of the uncertainty. The uncertainty enters in the form of parametric uncertainty in lumped parameter models while in residual models it enters as structural uncertainty of FP model.…”
Section: Cstr Modelingmentioning
confidence: 99%
“…More forming knowledge can also be incorporated using "standard" formulations of the kinetic rates, representing the contained kinetic parameters by nonparametric model expressions (AlYemni, 2003;Bellos, Kallinikos, Gounaris, & Papayannakos, 2005;Kasprow, 2000;Mazutti et al, 2010). In addition, forming knowledge can also lead to Bounded Input Bounded Output (BIBO) stability properties of the model (Karama, Bernard, & Gouz, 2010;Oliveira, 2004), e.g. a reaction can only occur when all reactants are present.…”
Section: Mechanistic Knowledge Incorporationmentioning
confidence: 99%
“…In this work, we consider a problem of trajectory tracking control of a fermentation process and we are particularly interested in taking into account the constraints in the control. The constraints are very important in practical situations to keep the physical and biological meaning, such as the positivity of the concentrations and boundness of variables . The introduction of the constraints in the case of T‐S was developed in Reference by considering the norm‐bounded approach of the input and leading to an additional linear matrix inequality (LMI) to be verified.…”
Section: Introductionmentioning
confidence: 99%
“…The constraints are very important in practical situations to keep the physical and biological meaning, such as the positivity of the concentrations and boundness of variables. 12,13 The introduction of the constraints in the case of T-S was developed in Reference 14 by considering the norm-bounded approach of the input and leading to an additional linear matrix inequality (LMI) to be verified. This LMI depends on the value or on the upper bound of the initial states of the system.…”
Section: Introductionmentioning
confidence: 99%