Parameter estimation and optimum experimental design for differential equation models
This article reviews state-of-the-art methods for parameter estimation and optimum experimental design in optimization based modeling. For the calibration of differential equation models for nonlinear processes, constrained parameter estimation problems are considered. For their solution, numerical...
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| Main Authors: | , , |
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| Format: | Chapter/Article Conference Paper |
| Language: | English |
| Published: |
2013
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| In: |
Model Based Parameter Estimation
Year: 2012, Pages: 1-30 |
| DOI: | 10.1007/978-3-642-30367-8_1 |
| Subjects: | |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/978-3-642-30367-8_1 Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-642-30367-8_1 
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| Author Notes: | Hans Georg Bock, Stefan Körkel and Johannes P. Schlöder |
| Summary: | This article reviews state-of-the-art methods for parameter estimation and optimum experimental design in optimization based modeling. For the calibration of differential equation models for nonlinear processes, constrained parameter estimation problems are considered. For their solution, numerical methods based on the boundary value problem method optimization approach consisting of multiple shooting and a generalized Gauß-Newton method are discussed. To suggest experiments that deliver data to minimize the statistical uncertainty of parameter estimates, optimum experimental design problems are formulated, an intricate class of non-standard optimal control problems, and derivative-based methods for their solution are presented. |
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| Item Description: | First online: 03 August 2012 Gesehen am 15.06.2018 |
| Physical Description: | Online Resource |
| ISBN: | 9783642303678 1299336647 |
| DOI: | 10.1007/978-3-642-30367-8_1 |