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Derivative-free Parameter Optimization of Functional Mock-up Units

Andersson, Christian LU ; Gedda, Sofia; Åkesson, Johan LU and Diehl, Stefan LU (2012) 9th International Modelica Conference In [Host publication title missing]
Abstract
Representing a physical system with a mathematical model requires knowledge not only about the physical laws governing the dynamics but also about the parameter values of the system. The parameters can sometimes be measured or calculated, however some of them are often difficult or impossible to obtain in these ways. Finding accurate parameter values is crucial for the accuracy of the mathematical model.



Estimating the parameters using optimization algorithms which attempt to

minimize the error between the response from the mathematical model and the physical system is a common approach for improving the accuracy of the model.



Optimization algorithms usually requires information about the... (More)
Representing a physical system with a mathematical model requires knowledge not only about the physical laws governing the dynamics but also about the parameter values of the system. The parameters can sometimes be measured or calculated, however some of them are often difficult or impossible to obtain in these ways. Finding accurate parameter values is crucial for the accuracy of the mathematical model.



Estimating the parameters using optimization algorithms which attempt to

minimize the error between the response from the mathematical model and the physical system is a common approach for improving the accuracy of the model.



Optimization algorithms usually requires information about the derivatives which may not always be available or not be appropriate for estimation which forces the use of derivative-free optimization algorithms.



In this paper, we present an implementation of derivative-free optimization algorithms for parameter estimation in the JModelica.org platform. The implementation allows the underlying dynamic system to be represented as a Functional Mock-up Unit (FMU), thus enables parameter estimation of models designed in modeling tools following the standardized interface, the Functional Mock-up Interface (FMI), such as Dymola. (Less)
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author
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Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Derivative-free optimization Parameter Estimation JModelica.org FMI Assimulo
in
[Host publication title missing]
publisher
Modelica Association
conference name
9th International Modelica Conference
project
LCCC
language
English
LU publication?
yes
id
2ff1c8c5-3927-4a65-a994-8200558c6e97 (old id 2972270)
date added to LUP
2012-08-24 11:11:27
date last changed
2016-04-16 07:31:35
@misc{2ff1c8c5-3927-4a65-a994-8200558c6e97,
  abstract     = {Representing a physical system with a mathematical model requires knowledge not only about the physical laws governing the dynamics but also about the parameter values of the system. The parameters can sometimes be measured or calculated, however some of them are often difficult or impossible to obtain in these ways. Finding accurate parameter values is crucial for the accuracy of the mathematical model.<br/><br>
<br/><br>
Estimating the parameters using optimization algorithms which attempt to<br/><br>
minimize the error between the response from the mathematical model and the physical system is a common approach for improving the accuracy of the model.<br/><br>
<br/><br>
Optimization algorithms usually requires information about the derivatives which may not always be available or not be appropriate for estimation which forces the use of derivative-free optimization algorithms.<br/><br>
<br/><br>
In this paper, we present an implementation of derivative-free optimization algorithms for parameter estimation in the JModelica.org platform. The implementation allows the underlying dynamic system to be represented as a Functional Mock-up Unit (FMU), thus enables parameter estimation of models designed in modeling tools following the standardized interface, the Functional Mock-up Interface (FMI), such as Dymola.},
  author       = {Andersson, Christian and Gedda, Sofia and Åkesson, Johan and Diehl, Stefan},
  keyword      = {Derivative-free optimization Parameter Estimation JModelica.org FMI Assimulo},
  language     = {eng},
  publisher    = {ARRAY(0x8616b00)},
  series       = {[Host publication title missing]},
  title        = {Derivative-free Parameter Optimization of Functional Mock-up Units},
  year         = {2012},
}