STATE ESTIMATION AND TRAJECTORY TRACKING CONTROL FOR A NONLINEAR AND MULTIVARIABLE BIOETHANOL PRODUCTION SYSTEM

Cecilia Fernández, M.; Nadia Pantano, M.; Rossomando, Francisco G.; Alberto Ortiz, O.; Scaglia, Gustavo J. E.

doi:10.1590/0104-6632.20190361s20170379

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Process Systems Engineering • Braz. J. Chem. Eng. 36 (1) • Jan-Mar 2019 • https://doi.org/10.1590/0104-6632.20190361s20170379 copy

STATE ESTIMATION AND TRAJECTORY TRACKING CONTROL FOR A NONLINEAR AND MULTIVARIABLE BIOETHANOL PRODUCTION SYSTEM

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT

In this paper a controller is proposed based on linear algebra for a fed-batch bioethanol production process. It involves finding feed rate profiles (control actions obtained as a solution of a linear equations system) in order to make the system follow predefined concentration profiles. A neural network states estimation is designed in order to know those variables that cannot be measured. The controller is tuned using a Monte Carlo experiment for which a cost function that penalizes tracking errors is defined. Moreover, several tests (adding parametric uncertainty and perturbations in the control action) are carried out so as to evaluate the controller performance. A comparison with another controller is made. The demonstration of the error convergence, as well as the stability analysis of the neural network, are included.

Key words:
Fed-batch bioprocess; Nonlinear and multivariable system; Profiles tracking control; Numerical methods/linear algebra; State estimation

Variable	Initial value
X (g/L)	1.5
P₁ (g/L	5.3
P₂ (g/L)	0.0001
S₁ (g/L)	8.6
S₂ (g/L)	8.6
V (L)	1.35
U (L/h)	0.9325

Parameter	Description	Value
µ_m1	Maximum specific growth rate coefﬁcient for yeast on glucose (h^-1)	1.8823
µ_m2	Maximum specific growth rate coefﬁcient for yeast on fructose (h^-1)	1.7098
Y_P1/S1	Yield coefﬁcient for ethanol from glucose	0.5085
Y_P2/S1	Yield coefﬁcient for glycerol from glucose	0.5331
Y_P1/S2	Yield coefﬁcient for ethanol from fructose	0.5098
Y_P2/S2	Yield coefﬁcient for glycerol from fructose	0.4462
K_S1	Saturation coefﬁcient for cell growth on glucose (g/L)	159.75
K_S1I	Inhibition coefﬁcient for cell growth on glucose (g/L)	94.233
K_P1	Saturation coefﬁcient for cell growth on ethanol (g/L)	238.39
K_P1I	Inhibition coefﬁcient for cell growth on ethanol (g/l)	2.7378
K_S2	Saturation coefﬁcient for cell growth on fructose (g/L)	0.0726
K_S2I	Inhibition coefﬁcient for cell growth on fructose (g/L)	9.0048
K_P2	Saturation coefﬁcient for cell growth on glycerol (g/L)	35.958
K_P2I	Inhibition coefﬁcient for cell growth on glycerol (g/L)	9.9722
K_S1P1	Saturation coefﬁcient for ethanol production on glucose (g/L)	1.3409
k_S1P1	Inhibition coefﬁcient for ethanol production on glucose (g/L)	18.612
K_S2P1	Saturation coefﬁcient for ethanol production on fructose (g/L)	0.9129
k_S2P1	Inhibition coefﬁcient for ethanol production on fructose (g/L)	1000
K_S1P2	Saturation coefﬁcient for glycerol production on glucose (g/L)	6.7116
k_S1P2	Inhibition coefﬁcient for glycerol production on glucose (g/L)	0.5863
K_S2P2	Saturation coefﬁcient for glycerol production on fructose (g/L)	0.4310
k_S2P2	Inhibition coefﬁcient for glycerol production on fructose (g/L)	1.150
ν_S1P1	Coefﬁcient of maximum speciﬁc ethanol production rate for yeast on glucose (h^-1)	1.5051
ν_S2P1	Coefﬁcient of maximum speciﬁc ethanol production rate for yeast on fructose (h^-1)	0.3321
ν_S1P2	Coefﬁcient of maximum speciﬁc glycerol production rate for yeast on glucose (h^-1)	0.0023
ν_S2P2	Coefﬁcient of maximum speciﬁc glycerol production rate for yeast on fructose (h^-1)	0.1609
λ	Proportion of glucose and fructose	0.5
S_f	Sugar total feed concentration (g/L)	300

k_X	k_P1	k_P2	k_S1	k_S2
0.9992	0.9997	0.9988	0.6771	0.0093

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[1] Corresponding author: M. Cecilia Fernández - E-mail: mcfernandez@unsj.edu.ar