A unified parameter identification method for nonlinear time-delay systems
This paper deals with the problem of identifying unknown time-delays and model parameters in a general nonlinear time-delay system. We propose a unified computational approach that involves solving a dynamic optimization problem, whose cost function measures the discrepancy between predicted and obs...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
American Institute of Mathematical Sciences
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/15508 |
| _version_ | 1848748911897870336 |
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| author | Chai, Q. Loxton, Ryan Teo, Kok Lay Yang, C. |
| author_facet | Chai, Q. Loxton, Ryan Teo, Kok Lay Yang, C. |
| author_sort | Chai, Q. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper deals with the problem of identifying unknown time-delays and model parameters in a general nonlinear time-delay system. We propose a unified computational approach that involves solving a dynamic optimization problem, whose cost function measures the discrepancy between predicted and observed system output, to determine optimal values for the unknown quantities. Our main contribution is to show that the partial derivatives of this cost function can be computed by solving a set of auxiliary time-delay systems. On this basis, the parameter identification problem can be solved using existing gradient-based optimization techniques. We conclude the paper with two numerical simulations. |
| first_indexed | 2025-11-14T07:12:34Z |
| format | Journal Article |
| id | curtin-20.500.11937-15508 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:12:34Z |
| publishDate | 2013 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-155082017-09-13T13:40:19Z A unified parameter identification method for nonlinear time-delay systems Chai, Q. Loxton, Ryan Teo, Kok Lay Yang, C. This paper deals with the problem of identifying unknown time-delays and model parameters in a general nonlinear time-delay system. We propose a unified computational approach that involves solving a dynamic optimization problem, whose cost function measures the discrepancy between predicted and observed system output, to determine optimal values for the unknown quantities. Our main contribution is to show that the partial derivatives of this cost function can be computed by solving a set of auxiliary time-delay systems. On this basis, the parameter identification problem can be solved using existing gradient-based optimization techniques. We conclude the paper with two numerical simulations. 2013 Journal Article http://hdl.handle.net/20.500.11937/15508 10.3934/jimo.2013.9.471 American Institute of Mathematical Sciences fulltext |
| spellingShingle | Chai, Q. Loxton, Ryan Teo, Kok Lay Yang, C. A unified parameter identification method for nonlinear time-delay systems |
| title | A unified parameter identification method for nonlinear time-delay systems |
| title_full | A unified parameter identification method for nonlinear time-delay systems |
| title_fullStr | A unified parameter identification method for nonlinear time-delay systems |
| title_full_unstemmed | A unified parameter identification method for nonlinear time-delay systems |
| title_short | A unified parameter identification method for nonlinear time-delay systems |
| title_sort | unified parameter identification method for nonlinear time-delay systems |
| url | http://hdl.handle.net/20.500.11937/15508 |