Research Article

Nonlinear Control for Bioprocesses with Model Uncertainties and External Disturbances

Table 2

Nomenclature, description, and values of parameters.

ParameterDescriptionValue

µm1Maximum specific growth rate coefficient for yeast on glucose (h−1)1.8823
µm2Maximum specific growth rate coefficient for yeast on fructose (h−1)1.7098
YP1/S1Yield coefficient for ethanol from glucose0.5085
YP2/S1Yield coefficient for glycerol from glucose0.5331
YP1/S2Yield coefficient for ethanol from fructose0.5098
YP2/S2Yield coefficient for glycerol from fructose0.4462
KS1Saturation coefficient for cell growth on glucose (g/L)159.75
KS1IInhibition coefficient for cell growth on glucose (g/L)94.233
KP1Saturation coefficient for cell growth on ethanol (g/L)238.39
KP1IInhibition coefficient for cell growth on ethanol (g/l)2.7378
KS2Saturation coefficient for cell growth on fructose (g/L)0.0726
KS2IInhibition coefficient for cell growth on fructose (g/L)9.0048
KP2Saturation coefficient for cell growth on glycerol (g/L)35.958
KP2IInhibition coefficient for cell growth on glycerol (g/L)9.9722
KS1P1Saturation coefficient for ethanol production on glucose (g/L)1.3409
kS1P1Inhibition coefficient for ethanol production on glucose (g/L)18.612
KS2P1Saturation coefficient for ethanol production on fructose (g/L)0.9129
kS2P1Inhibition coefficient for ethanol production on fructose (g/L)1000
KS1P2Saturation coefficient for glycerol production on glucose (g/L)6.7116
kS1P2Inhibition coefficient for glycerol production on glucose (g/L)0.5863
KS2P2Saturation coefficient for glycerol production on fructose (g/L)0.4310
kS2P2Inhibition coefficient for glycerol production on fructose (g/L)1.150
νS1P1Coefficient of maximum specific ethanol production rate for yeast on glucose (h−1)1.5051
νS2P1Coefficient of maximum specific ethanol production rate for yeast on fructose (h−1)0.3321
νS1P2Coefficient of maximum specific glycerol production rate for yeast on glucose (h−1)0.0023
νS2P2Coefficient of maximum specific glycerol production rate for yeast on fructose (h−1)0.1609
λProportion of glucose and fructose0.5
SfSugar total feed concentration (g/L)300