Parameter identification and nonlinear analysis of the continuous bio-dissimilation process of glycerol

doi:10.3969/j.issn.1000-1565.2023.03.002

Abstract

Abstract: In order to give a mathematical model that can better describe the continuous bio-dissimilation process of glycerol to 1,3-propanediol and the nonlinear characteristics of the model, the problems of parameter identification and nonlinear analysis are studied. Firstly, the GMA-system for the continuous bio-dissimilation process of glycerol is established. A parameter identification optimization problem is given, which takes the minimum error between the calculated value of the model and the experimental measurement value as the optimization objective and the steady-state conditions of continuous fermentation process of glycerol as constraints. By using the sequential quadratic programming algorithm, the optimal parameter values of the corresponding dynamic system are obtained. The results show that the parameter identification optimization model of the GMA-system can provide more accurate parameter values. Secondly, by substituting the results of the identified parameters into the GMA-system of continuous bio-dissimilation process of glycerol, the equilibrium point calculation and stability analysis are carried out. The equilibrium points of the system are numerically calculated by the method of the symbolic real root isolation, the stability of the equilibrium point is studied according to the stability theory of almost linear system.

Key words: GMA-system, parameter identification, equilibrium point, stability

CLC Number:

ZHANG Jingshuo, XU Gongxian. Parameter identification and nonlinear analysis of the continuous bio-dissimilation process of glycerol[J]. Journal of Hebei University(Natural Science Edition), 2023, 43(3): 230-236.

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