Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 10-11, Pages 6899-6908Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.02.021
Keywords
Nonlinear time-delay system; Parameter identification; Constraint transcription; Differential evolution algorithm; Batch fermentation
Funding
- Natural Science Foundation for the Youth of China [11001153, 11201267]
- TianYuan Special Funds of the National Natural Science Foundation of China [11126077]
- Shandong Province Natural Science Foundation of China [ZR2010AQ016, ZR2011AL003, BS2012DX025, J11LG13]
- Fundamental Research Funds for the Central Universities [DUT12LK27]
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Mathematical modelling and parameter identification of a microbial batch fermentation process is considered in this paper. In view of the existence of time delays, a nonlinear time-delay system is firstly proposed to formulate the fermentation process. Some important properties are also discussed. Taking the errors between the computational values and the experimental data as the cost function, a parameter identification model subject to continuous state constraints and parameter constraints is then presented. To seek the optimal time delay and the optimal kinetic parameters, an improved differential evolution algorithm in conjunction with the constraint transcription technique is developed. Finally, numerical results show that the model can describe the batch fermentation process reasonably. (C) 2013 Elsevier Inc. All rights reserved.
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