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Robust Optimal Control of a Microbial Batch Culture Process

Author

Listed:
  • Guanming Cheng

    (Dalian University of Technology)

  • Lei Wang

    (Dalian University of Technology)

  • Ryan Loxton

    (Curtin University
    Zhejiang University)

  • Qun Lin

    (Curtin University)

Abstract

This paper considers the microbial batch culture process for producing 1,3-propanediol (1,3-PD) via glycerol fermentation. Our goal was to design an optimal control scheme for this process, with the aim of balancing two (perhaps competing) objectives: (i) the process should yield a sufficiently high concentration of 1,3-PD at the terminal time and (ii) the process should be robust with respect to changes in various uncertain system parameters. Accordingly, we pose an optimal control problem, in which both process yield and process sensitivity are considered in the objective function. The control variables in this problem are the terminal time of the batch culture process and the initial concentrations of biomass and glycerol in the batch reactor. By performing a time-scaling transformation and introducing an auxiliary dynamic system to calculate process sensitivity, we obtain an equivalent optimal control problem in standard form. We then develop a particle swarm optimization algorithm for solving this equivalent problem. Finally, we explore the trade-off between process efficiency and process robustness via numerical simulations.

Suggested Citation

  • Guanming Cheng & Lei Wang & Ryan Loxton & Qun Lin, 2015. "Robust Optimal Control of a Microbial Batch Culture Process," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 342-362, October.
    • Handle: RePEc:spr:joptap:v:167:y:2015:i:1:d:10.1007_s10957-014-0654-z
    DOI: 10.1007/s10957-014-0654-z
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    References listed on IDEAS

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    1. Yuan, Jinlong & Zhu, Xi & Zhang, Xu & Yin, Hongchao & Feng, Enmin & Xiu, Zhilong, 2014. "Robust identification of enzymatic nonlinear dynamical systems for 1,3-propanediol transport mechanisms in microbial batch culture," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 150-163.
    2. Jianlei Zhang & Chunyan Zhang & Tianguang Chu & Matjaž Perc, 2011. "Resolution of the Stochastic Strategy Spatial Prisoner's Dilemma by Means of Particle Swarm Optimization," PLOS ONE, Public Library of Science, vol. 6(7), pages 1-7, July.
    3. Chongyang Liu & Ryan Loxton & Kok Teo, 2014. "Optimal parameter selection for nonlinear multistage systems with time-delays," Computational Optimization and Applications, Springer, vol. 59(1), pages 285-306, October.
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    Cited by:

    1. Mohammad Ali Abooshahab & Mohsen Ekramian & Mohammad Ataei & Ali Ebrahimpour-Boroojeny, 2019. "Time-Delay Estimation in State and Output Equations of Nonlinear Systems Using Optimal Computational Approach," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 1036-1064, March.
    2. Lv, Wei & He, Hanfei & Li, Kezan, 2022. "Robust optimal control of a network-based SIVS epidemic model with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Jinlong Yuan & Jun Xie & Honglei Xu & Enmin Feng & Zhilong Xiu, 2019. "Optimization for Nonlinear Uncertain Switched Stochastic Systems with Initial State Difference in Batch Culture Process," Complexity, Hindawi, vol. 2019, pages 1-15, February.

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