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Numerical Algebra, Control and Optimization (NACO)
 

Modeling and identification of hybrid dynamic system in microbial continuous fermentation

Pages: 359 - 368, Volume 5, Issue 4, December 2015      doi:10.3934/naco.2015.5.359

 
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Yanan Mao - School of Mathematical Sciences, Inner Mongolia University, 235 West Daxue Road, Hohhot 010021, China (email)
Caixia Gao - School of Mathematical Sciences, Inner Mongolia University, 235 West Daxue Road, Hohhot 010021, China (email)
Ruidong Yan - School of Mathematical Sciences, Inner Mongolia University, 235 West Daxue Road, Hohhot 010021, China (email)
Aruna Bai - School of Mathematical Sciences, Inner Mongolia University, 235 West Daxue Road, Hohhot 010021, China (email)

Abstract: 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.

Keywords:  Continuous fermentation; fuzzy expert system; hybrid dynamic system; parameter identification.
Mathematics Subject Classification:  Primary: 34K45, 49N25; Secondary: 49N90, 92C45.

Received: January 2015;      Revised: October 2015;      Available Online: October 2015.

 References