# American Institute of Mathematical Sciences

2015, 5(4): 359-368. doi: 10.3934/naco.2015.5.359

## Modeling and identification of hybrid dynamic system in microbial continuous fermentation

 1 School of Mathematical Sciences, Inner Mongolia University, 235 West Daxue Road, Hohhot 010021, China, China, China, China

Received  January 2015 Revised  October 2015 Published  October 2015

In this paper, a hybrid dynamic model using fuzzy expert system is investigated in the process of glycerol bioconversion to 1,3-PD by Klebsiella pneumoniae(K.pneumoniae). In continuous culture, we assume that 1,3-PD passes the cell membrane of K.pneumoniae by passive diffusion coupling with active transport. To determine the parameters of the proposed system, a parameter identification model is established according to the biological robustness. An optimization algorithm is developed in order to solve the identification model. Numerical simulations indicate that proposed hybrid model adding fuzzy system is more appropriate and the optimization algorithm is effective.
Citation: Yanan Mao, Caixia Gao, Ruidong Yan, Aruna Bai. Modeling and identification of hybrid dynamic system in microbial continuous fermentation. Numerical Algebra, Control & Optimization, 2015, 5 (4) : 359-368. doi: 10.3934/naco.2015.5.359
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##### References:
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