Multiple-Shooting Optimization using the JModelica.org Platform

Jens Rantil, Johan Åkesson, Claus Führer, Magnus Gäfvert

Research output: Contribution to conferencePaper, not in proceedingpeer-review

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Abstract

Dynamic optimization is the problem of finding the minimum of a cost function subject to a constraint comprised of a system of differential equations. There are many algorithms to numerically solve such optimization problems. One such algorithm is multiple shooting. This paper reports an implementation of a multiple shooting algorithm in Python. The implementation is based on the open source platform JModelica.org, the integrator SUNDIALS and the optimization algorithm scipy_slsqp. The JModelica.org platform supports model descriptions encoded in the Modelica language and optimization specifications expressed in the extension Optimica. The Modelica/Optimica combination provides simple means to express complex optimization problems in a compact and user-oriented manner. The JModelica.org platform, in turn translates the high-level descriptions into efficient C code which can compiled and linked with Python. As a result, the numerical packages available for Python can be used to develop custom applications based on Modelica/Optimica specifications. An example is provided to illustrate the capabilities of the method.
Original languageEnglish
Publication statusPublished - 2009
Event7th International Modelica Conference, 2009 - Como, Italy
Duration: 2009 Sept 202009 Sept 22
Conference number: 7

Conference

Conference7th International Modelica Conference, 2009
Country/TerritoryItaly
CityComo
Period2009/09/202009/09/22

Bibliographical note

The information about affiliations in this record was updated in December 2015.
The record was previously connected to the following departments: Numerical Analysis (011015004), Department of Automatic Control (011017000)

Subject classification (UKÄ)

  • Control Engineering
  • Mathematics

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