A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation
In this paper, we consider a multistage feedback control strategy for producing 1,3-propanediol in microbial continuous fermentation. Both the dilution rate and the concentration of glycerol in the input feed are used as control variables, and these variables are further assumed to be in the form of...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/6252607 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560294650445824 |
|---|---|
| author | Honghan Bei Lei Wang Jing Sun Liwei Zhang |
| author_facet | Honghan Bei Lei Wang Jing Sun Liwei Zhang |
| author_sort | Honghan Bei |
| collection | DOAJ |
| description | In this paper, we consider a multistage feedback control strategy for producing 1,3-propanediol in microbial continuous fermentation. Both the dilution rate and the concentration of glycerol in the input feed are used as control variables, and these variables are further assumed to be in the form of a linear combination of biomass and glycerol concentrations. Unlike the general form of linear feedback control, the coefficients of linear combination are continuous functions with respect to time. Inspired by the control parameterization method, we use the piecewise-constant functions to approximate the coefficient functions; then we get the multistage feedback control law by solving nonlinear mathematical programming problems. Numerical results indicate the flexibility and effectiveness of our strategy. |
| format | Article |
| id | doaj-art-0dedaac6cca844fcb9c39e9c3b85bb98 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-0dedaac6cca844fcb9c39e9c3b85bb982025-02-03T01:27:48ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/62526076252607A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous FermentationHonghan Bei0Lei Wang1Jing Sun2Liwei Zhang3School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, ChinaIn this paper, we consider a multistage feedback control strategy for producing 1,3-propanediol in microbial continuous fermentation. Both the dilution rate and the concentration of glycerol in the input feed are used as control variables, and these variables are further assumed to be in the form of a linear combination of biomass and glycerol concentrations. Unlike the general form of linear feedback control, the coefficients of linear combination are continuous functions with respect to time. Inspired by the control parameterization method, we use the piecewise-constant functions to approximate the coefficient functions; then we get the multistage feedback control law by solving nonlinear mathematical programming problems. Numerical results indicate the flexibility and effectiveness of our strategy.http://dx.doi.org/10.1155/2019/6252607 |
| spellingShingle | Honghan Bei Lei Wang Jing Sun Liwei Zhang A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation Complexity |
| title | A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation |
| title_full | A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation |
| title_fullStr | A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation |
| title_full_unstemmed | A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation |
| title_short | A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation |
| title_sort | multistage feedback control strategy for producing 1 3 propanediol in microbial continuous fermentation |
| url | http://dx.doi.org/10.1155/2019/6252607 |
| work_keys_str_mv | AT honghanbei amultistagefeedbackcontrolstrategyforproducing13propanediolinmicrobialcontinuousfermentation AT leiwang amultistagefeedbackcontrolstrategyforproducing13propanediolinmicrobialcontinuousfermentation AT jingsun amultistagefeedbackcontrolstrategyforproducing13propanediolinmicrobialcontinuousfermentation AT liweizhang amultistagefeedbackcontrolstrategyforproducing13propanediolinmicrobialcontinuousfermentation AT honghanbei multistagefeedbackcontrolstrategyforproducing13propanediolinmicrobialcontinuousfermentation AT leiwang multistagefeedbackcontrolstrategyforproducing13propanediolinmicrobialcontinuousfermentation AT jingsun multistagefeedbackcontrolstrategyforproducing13propanediolinmicrobialcontinuousfermentation AT liweizhang multistagefeedbackcontrolstrategyforproducing13propanediolinmicrobialcontinuousfermentation |