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Multi-objective optimisation of nonlinear switched systems in uncoupled fed-batch fermentation

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Listed:
  • Teng Niu
  • Jingang Zhai
  • Hongchao Yin
  • Enmin Feng
  • Chongyang Liu
  • Zhilong Xiu

Abstract

Maximising yield and minimising time are two top priorities for biotechnological industry. In this paper, we model the 1,3-PD uncoupled fed-batch fermentation process with a 10-dimensional nonlinear switched system. By taking both maximising 1,3-PD concentration and minimising the terminal time of fermentation as the objectives, we propose a multi-objective optimisation problem with the flow rates of glycerol and alkali, the switched times among four modes and the mode sequence as the decision variables. To solve the multi-objective optimisation problem, we use the convex weighted sum to transcribe the multi-objective optimisation problem into a sequence of single-objective optimisation problems. Then the time-scaling transformation, the binary relaxation approach and the exact penalty method are applied to solve these single-objective optimisation problems. The numerical results show that, by optimising the flow rates of glycerol and alkali, the switched times among four modes and the mode sequence, the optimum fed-batch time and the higher 1,3-PD concentration can be obtained. The obtained numerical results can provide reference for the actual fermentation experiment.

Suggested Citation

  • Teng Niu & Jingang Zhai & Hongchao Yin & Enmin Feng & Chongyang Liu & Zhilong Xiu, 2020. "Multi-objective optimisation of nonlinear switched systems in uncoupled fed-batch fermentation," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(10), pages 1798-1813, July.
  • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1798-1813
    DOI: 10.1080/00207721.2020.1780338
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