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Date:2019-03-09

Indexed by:Journal Article

Date of Publication:2012-01-01

Journal:APPLIED MATHEMATICAL MODELLING

Included Journals:EI、SCIE

Volume:36

Issue:1

Page Number:357-369

ISSN:0307-904X

Key Words:Fed-batch culture; Logic control; Nonlinear hybrid system; Parameter identification; Asynchronous parallel PSO algorithm

Abstract:In this paper, we study the fed-batch fermentation of glycerol by Klebsiella pneumoniae with open loop glycerol input and pH logic control using a flow of alkali as manipulated variable. A nonlinear hybrid system is developed to describe this process. We prove the finiteness of switching numbers of the system in terms of bounded variation and explore the existence and uniqueness of the solutions. Additionally, a parameter identification problem is proposed and an asynchronous parallel particle swarm optimization (PSO) algorithm is constructed to solve it. Numerical results show the effectiveness of the algorithm and reveal that the proposed model could describe the fed-batch process properly. (C) 2011 Elsevier Inc. All rights reserved.