Modelling and optimization for a switched system in microbial fed-batch culture
This paper considers modelling and optimization of a microbial fed-batch fermentation process. A switched system with variable switching instants is proposed to describe the fermentation process of glycerol bioconversion to 1,3-propanediol (1,3-PD). Taking the concentration of 1,3-PD at the terminal...
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| Published in | Applied mathematical modelling Vol. 35; no. 7; pp. 3276 - 3284 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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01.07.2011
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| Abstract | This paper considers modelling and optimization of a microbial fed-batch fermentation process. A switched system with variable switching instants is proposed to describe the fermentation process of glycerol bioconversion to 1,3-propanediol (1,3-PD). Taking the concentration of 1,3-PD at the terminal time as the cost function and the switching instants as optimization variables, an optimization model involving switched system and subject to continuous state inequality constraints is then presented. By introducing a time-scaling transform, the optimization model is transcribed into an equivalent one with parameters and fixed switching instants. A computational approach to seek the optimal solution is constructed on the basis of constraint transcription and smoothing approximation techniques. Numerical results show that, by employing the optimal switching instants, the concentration of 1,3-PD can be increased considerably compared with previous results. |
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| AbstractList | This paper considers modelling and optimization of a microbial fed-batch fermentation process. A switched system with variable switching instants is proposed to describe the fermentation process of glycerol bioconversion to 1,3-propanediol (1,3-PD). Taking the concentration of 1,3-PD at the terminal time as the cost function and the switching instants as optimization variables, an optimization model involving switched system and subject to continuous state inequality constraints is then presented. By introducing a time-scaling transform, the optimization model is transcribed into an equivalent one with parameters and fixed switching instants. A computational approach to seek the optimal solution is constructed on the basis of constraint transcription and smoothing approximation techniques. Numerical results show that, by employing the optimal switching instants, the concentration of 1,3-PD can be increased considerably compared with previous results. |
| Author | Gong, Zhaohua Wang, Lei Liu, Chongyang Feng, Enmin Yu, Yongsheng |
| Author_xml | – sequence: 1 givenname: Zhaohua surname: Gong fullname: Gong, Zhaohua email: yt_gzh@yahoo.com.cn organization: School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, Shandong, China – sequence: 2 givenname: Chongyang surname: Liu fullname: Liu, Chongyang email: chongyangLiu@yahoo.cn organization: School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, Shandong, China – sequence: 3 givenname: Enmin surname: Feng fullname: Feng, Enmin organization: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China – sequence: 4 givenname: Lei surname: Wang fullname: Wang, Lei organization: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China – sequence: 5 givenname: Yongsheng surname: Yu fullname: Yu, Yongsheng organization: School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, Shandong, China |
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| Keywords | Time-scaling transform Fed-batch culture Switched system Optimization Biotechnology Multimodel control Switching function Fermentation Modeling Hybrid system Smoothing Inequality constraint Batch process State constraint |
| Language | English |
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| Snippet | This paper considers modelling and optimization of a microbial fed-batch fermentation process. A switched system with variable switching instants is proposed... |
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| SubjectTerms | Applied sciences Biological and medical sciences Bioreactors Biotechnology Computer science; control theory; systems Control theory. Systems Exact sciences and technology Fed-batch culture Fermentation Fermented food industries Food industries Fundamental and applied biological sciences. Psychology Mathematical analysis Mathematical models Methods. Procedures. Technologies Microorganisms Modelling Optimization Process control. Computer integrated manufacturing Switched system Switching Time-scaling transform Various methods and equipments |
| Title | Modelling and optimization for a switched system in microbial fed-batch culture |
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