Optimal switching control of 1,3-propanediol fed-batch production with a cost on smooth feeding rate variation
In this paper, we propose a nonlinear switched control system for microbial 1,3-propanediol (1,3-PD) fed-batch production, where the smooth feeding rate of glycerol as well as the switching instants between batch process and feeding process are taken as control variables. To maximize 1,3-PD yield an...
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| Published in | Nonlinear analysis. Hybrid systems Vol. 49; p. 101372 |
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| Format | Journal Article |
| Language | English |
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01.08.2023
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| Abstract | In this paper, we propose a nonlinear switched control system for microbial 1,3-propanediol (1,3-PD) fed-batch production, where the smooth feeding rate of glycerol as well as the switching instants between batch process and feeding process are taken as control variables. To maximize 1,3-PD yield and minimize the fluctuation of feeding rate, we then present an optimal switching control problem with a cost on the smooth feeding rate variation and subject to path constraints reflecting the operational requirements. For solving this problem, we convert it to a series of parameter optimization problems by using a novel control parameterization scheme, a time-scaling transformation and a constraint transcription technique. An analytical expression of the total variation for the smooth feeding rate is also derived. On this basis, we develop a parallel Particle Swarm Optimization (PSO) algorithm together with the gradient-based optimization to solve the resulting problem. Finally, numerical simulations indicate that sacrificing a small amount of 1,3-PD can reduce the feeding rate variation significantly. |
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| AbstractList | In this paper, we propose a nonlinear switched control system for microbial 1,3-propanediol (1,3-PD) fed-batch production, where the smooth feeding rate of glycerol as well as the switching instants between batch process and feeding process are taken as control variables. To maximize 1,3-PD yield and minimize the fluctuation of feeding rate, we then present an optimal switching control problem with a cost on the smooth feeding rate variation and subject to path constraints reflecting the operational requirements. For solving this problem, we convert it to a series of parameter optimization problems by using a novel control parameterization scheme, a time-scaling transformation and a constraint transcription technique. An analytical expression of the total variation for the smooth feeding rate is also derived. On this basis, we develop a parallel Particle Swarm Optimization (PSO) algorithm together with the gradient-based optimization to solve the resulting problem. Finally, numerical simulations indicate that sacrificing a small amount of 1,3-PD can reduce the feeding rate variation significantly. |
| ArticleNumber | 101372 |
| Author | Zhao, Qiaona Liu, Chongyang |
| Author_xml | – sequence: 1 givenname: Chongyang orcidid: 0000-0002-2229-6717 surname: Liu fullname: Liu, Chongyang email: chongyangliu@aliyun.com organization: School of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, China – sequence: 2 givenname: Qiaona surname: Zhao fullname: Zhao, Qiaona organization: School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai, 264005, China |
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| Snippet | In this paper, we propose a nonlinear switched control system for microbial 1,3-propanediol (1,3-PD) fed-batch production, where the smooth feeding rate of... |
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| SubjectTerms | Fed-batch process Nonlinear switched system Optimal control Parallel PSO Total variation |
| Title | Optimal switching control of 1,3-propanediol fed-batch production with a cost on smooth feeding rate variation |
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