Optimal parameter selection for nonlinear multistage systems with time-delays
In this paper, we consider a novel dynamic optimization problem for nonlinear multistage systems with time-delays. Such systems evolve over multiple stages, with the dynamics in each stage depending on both the current state of the system and the state at delayed times. The optimization problem invo...
| Main Authors: | , , |
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| Format: | Journal Article |
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Kluwer Academic Publishers
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/30096 |
| _version_ | 1848752989822517248 |
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| author | Liu, C. Loxton, Ryan Teo, Kok Lay |
| author_facet | Liu, C. Loxton, Ryan Teo, Kok Lay |
| author_sort | Liu, C. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a novel dynamic optimization problem for nonlinear multistage systems with time-delays. Such systems evolve over multiple stages, with the dynamics in each stage depending on both the current state of the system and the state at delayed times. The optimization problem involves choosing the values of the time-delays, as well as the values of additional parameters that influence the system dynamics, to minimize a given cost functional. We first show that the partial derivatives of the system state with respect to the time-delays and system parameters can be computed by solving a set of auxiliary dynamic systems in conjunction with the governing multistage system. On this basis, a gradient-based optimization algorithm is proposed to determine the optimal values of the delays and system parameters. Finally, two example problems, one of which involves parameter identification for a realistic fed-batch fermentation process, are solved to demonstrate the algorithm’s effectiveness. |
| first_indexed | 2025-11-14T08:17:23Z |
| format | Journal Article |
| id | curtin-20.500.11937-30096 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:17:23Z |
| publishDate | 2014 |
| publisher | Kluwer Academic Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-300962019-02-19T05:36:13Z Optimal parameter selection for nonlinear multistage systems with time-delays Liu, C. Loxton, Ryan Teo, Kok Lay Parameter identification Time-delay system Multistage system Nonlinear optimization In this paper, we consider a novel dynamic optimization problem for nonlinear multistage systems with time-delays. Such systems evolve over multiple stages, with the dynamics in each stage depending on both the current state of the system and the state at delayed times. The optimization problem involves choosing the values of the time-delays, as well as the values of additional parameters that influence the system dynamics, to minimize a given cost functional. We first show that the partial derivatives of the system state with respect to the time-delays and system parameters can be computed by solving a set of auxiliary dynamic systems in conjunction with the governing multistage system. On this basis, a gradient-based optimization algorithm is proposed to determine the optimal values of the delays and system parameters. Finally, two example problems, one of which involves parameter identification for a realistic fed-batch fermentation process, are solved to demonstrate the algorithm’s effectiveness. 2014 Journal Article http://hdl.handle.net/20.500.11937/30096 10.1007/s10589-013-9632-x Kluwer Academic Publishers fulltext |
| spellingShingle | Parameter identification Time-delay system Multistage system Nonlinear optimization Liu, C. Loxton, Ryan Teo, Kok Lay Optimal parameter selection for nonlinear multistage systems with time-delays |
| title | Optimal parameter selection for nonlinear multistage systems with time-delays |
| title_full | Optimal parameter selection for nonlinear multistage systems with time-delays |
| title_fullStr | Optimal parameter selection for nonlinear multistage systems with time-delays |
| title_full_unstemmed | Optimal parameter selection for nonlinear multistage systems with time-delays |
| title_short | Optimal parameter selection for nonlinear multistage systems with time-delays |
| title_sort | optimal parameter selection for nonlinear multistage systems with time-delays |
| topic | Parameter identification Time-delay system Multistage system Nonlinear optimization |
| url | http://hdl.handle.net/20.500.11937/30096 |