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Production optimization for concentration and volume-limited fed-batch reactors in biochemical processes

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Abstract

Since a very slight violation of constraint could cause process safety and product quality problems in biochemical processes, an adaptive approach of fed-batch reactor production optimization that can strictly satisfy constraints over the entire operating time is presented. In this approach, an improved smooth function is proposed such that the inequality constraints can be transformed into smooth constraints. Based on this, only an auxiliary state is needed to monitor violations in the augmented performance index. Combined with control variable parameterization (CVP), the dynamic optimization is executed and constraint violations are examined by calculating the sensitivities of states to ensure that the inequality constraints are satisfied everywhere inside the time interval. Three biochemical production optimization problems, including the manufacturing of ethanol, penicillin and protein, are tested as illustrations. Meanwhile, comparisons with pure penalty CVP method, famous dynamic optimization toolbox DOTcvp and literature results are carried out. Research results show that the proposed method achieves better performances in terms of optimization accuracy and computation cost.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (Grant No. 61590921, 61603336), Zhejiang Province Natural Science Foundation (Y16B040003), Shanghai Aerospace Science and Technology Innovation Fund (E11501) and Aerospace Science and Technology Innovation Fund of China Aerospace Science and Technology Corporation (E81601), and their supports are thereby acknowledged.

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  1. Ping Liu and Xinggao Liu contributed equally to this work.

Authors and Affiliations

  1. Key Lab of Industrial Wireless Network and Networked Control, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Ping Liu

  2. State Key Laboratory of Industry Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, China

    Ping Liu & Xinggao Liu

  3. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Zeyin Zhang

  4. School of Information Science and Engineering, Central South University, Changsha, 410083, China

    Yalin Wang, Chunhua Yang & Weihua Gui

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  1. Ping Liu
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Correspondence to Ping Liu or Xinggao Liu.

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Liu, P., Liu, X., Zhang, Z. et al. Production optimization for concentration and volume-limited fed-batch reactors in biochemical processes. Bioprocess Biosyst Eng 41, 407–422 (2018). https://doi.org/10.1007/s00449-017-1875-y

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