Robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities
In this paper, a nonlinear enzyme-catalytic time-delayed switched dynamical system is considered to describe batch culture of glycerol bioconversion to 1,3-propanediol induced by Klebsiella pneumoniae. This system can not only predict the exponential growth phase but also the lag and the stationary...
| Main Authors: | , , , , , , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2017
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| Online Access: | https://www.sciencedirect.com/science/article/am/pii/S0307904X17300859 http://hdl.handle.net/20.500.11937/53572 |
| _version_ | 1848759175389118464 |
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| author | Yuan, J. Zhang, Y. Ye, J. Xie, J. Teo, Kok Lay Zhu, X. Feng, E. Yin, H. Xiu, Z. |
| author_facet | Yuan, J. Zhang, Y. Ye, J. Xie, J. Teo, Kok Lay Zhu, X. Feng, E. Yin, H. Xiu, Z. |
| author_sort | Yuan, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, a nonlinear enzyme-catalytic time-delayed switched dynamical system is considered to describe batch culture of glycerol bioconversion to 1,3-propanediol induced by Klebsiella pneumoniae. This system can not only predict the exponential growth phase but also the lag and the stationary growth phases of batch culture since it contains two switching times for representing the starting moment of lag growth phase and the time when the cell specified growth rate reaches the maximum. The biological robustness is expressed in terms of the expectation and variance of the relative deviation. Our aim is to identify the switching times. To this end, a robust parameter identification problem is formulated, where the switching times are decision variables to be chosen such that the biological robustness measure is optimized. This problem, which is governed by the nonlinear system, is subject to a quality constraint and continuous state inequality constraints. Using a hybrid time-scaling transformation to parameterize the switching times into new parameters, an equivalently robust parameter identification problem is investigated. The continuous state inequality constraints are approximated by a conventional inequality constraint, yielding a sequence of approximate robust parameter identification subproblems. The convergence analysis of this approximation is also investigated. Owing to the highly complex nature of these subproblems, a parallel algorithm, based on simulated annealing, is proposed to solve these subproblems. From an extensive simulation study, it is observed that the obtained optimal switching times are satisfactory. |
| first_indexed | 2025-11-14T09:55:42Z |
| format | Journal Article |
| id | curtin-20.500.11937-53572 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:55:42Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-535722023-04-26T05:03:00Z Robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities Yuan, J. Zhang, Y. Ye, J. Xie, J. Teo, Kok Lay Zhu, X. Feng, E. Yin, H. Xiu, Z. In this paper, a nonlinear enzyme-catalytic time-delayed switched dynamical system is considered to describe batch culture of glycerol bioconversion to 1,3-propanediol induced by Klebsiella pneumoniae. This system can not only predict the exponential growth phase but also the lag and the stationary growth phases of batch culture since it contains two switching times for representing the starting moment of lag growth phase and the time when the cell specified growth rate reaches the maximum. The biological robustness is expressed in terms of the expectation and variance of the relative deviation. Our aim is to identify the switching times. To this end, a robust parameter identification problem is formulated, where the switching times are decision variables to be chosen such that the biological robustness measure is optimized. This problem, which is governed by the nonlinear system, is subject to a quality constraint and continuous state inequality constraints. Using a hybrid time-scaling transformation to parameterize the switching times into new parameters, an equivalently robust parameter identification problem is investigated. The continuous state inequality constraints are approximated by a conventional inequality constraint, yielding a sequence of approximate robust parameter identification subproblems. The convergence analysis of this approximation is also investigated. Owing to the highly complex nature of these subproblems, a parallel algorithm, based on simulated annealing, is proposed to solve these subproblems. From an extensive simulation study, it is observed that the obtained optimal switching times are satisfactory. 2017 Journal Article http://hdl.handle.net/20.500.11937/53572 10.1016/j.apm.2017.01.079 https://www.sciencedirect.com/science/article/am/pii/S0307904X17300859 http://purl.org/au-research/grants/arc/DP140100289 Elsevier unknown |
| spellingShingle | Yuan, J. Zhang, Y. Ye, J. Xie, J. Teo, Kok Lay Zhu, X. Feng, E. Yin, H. Xiu, Z. Robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities |
| title | Robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities |
| title_full | Robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities |
| title_fullStr | Robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities |
| title_full_unstemmed | Robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities |
| title_short | Robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities |
| title_sort | robust parameter identification using parallel global optimization for a batch nonlinear enzyme-catalytic time-delayed process presenting metabolic discontinuities |
| url | https://www.sciencedirect.com/science/article/am/pii/S0307904X17300859 https://www.sciencedirect.com/science/article/am/pii/S0307904X17300859 http://hdl.handle.net/20.500.11937/53572 |