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Optimal Control for Multistage Nonlinear Dynamic System of Microbial Bioconversion in Batch Culture
Joint Authors
Zhang, Yuduo
Wang, Lei
Feng, Enmin
Xiu, Zhilong
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In batch culture of glycerol biodissimilation to 1,3-propanediol (1,3-PD), the aim of adding glycerol is to obtain as much 1,3-PD as possible.
Taking the yield intensity of 1,3-PD as the performance index and the initial concentration of biomass, glycerol, and terminal time as the control vector, we propose an optimal control model subject to a multistage nonlinear dynamical system and constraints of continuous state.
A computational approach is constructed to seek the solution of the above model.
Firstly, we transform the optimal control problem into the one with fixed terminal time.
Secondly, we transcribe the optimal control model into an unconstrained one based on the penalty functions and an extension of the state space.
Finally, by approximating the control function with simple functions, we transform the unconstrained optimal control problem into a sequence of nonlinear programming problems, which can be solved using gradient-based optimization techniques.
The convergence analysis and optimality function of the algorithm are also investigated.
Numerical results show that, by employing the optimal control, the concentration of 1,3-PD at the terminal time can be increased, compared with the previous results.
American Psychological Association (APA)
Wang, Lei& Xiu, Zhilong& Zhang, Yuduo& Feng, Enmin. 2011. Optimal Control for Multistage Nonlinear Dynamic System of Microbial Bioconversion in Batch Culture. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-486044
Modern Language Association (MLA)
Wang, Lei…[et al.]. Optimal Control for Multistage Nonlinear Dynamic System of Microbial Bioconversion in Batch Culture. Journal of Applied Mathematics No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-486044
American Medical Association (AMA)
Wang, Lei& Xiu, Zhilong& Zhang, Yuduo& Feng, Enmin. Optimal Control for Multistage Nonlinear Dynamic System of Microbial Bioconversion in Batch Culture. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-486044
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486044