Symbolic Transformations of Dynamic Optimization Problems

Fredrik Magnusson, Karl Berntorp, Björn Olofsson, Johan Åkesson

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Sammanfattning

Dynamic optimization problems involving differential-algebraic equation (DAE) systems are traditionally solved while retaining the semi-explicit or implicit form of the DAE. We instead consider symbolically transforming the DAE into an ordinary differential equation (ODE) before solving the optimization problem using a collocation method. We present a method for achieving this, which handles DAE-constrained optimization problems. The method is based on techniques commonly used in Modelica tools for simulation of DAE systems.

The method is evaluated on two industrially relevant benchmark problems. The first is about vehicle-trajectory generation and the second involves startup of power plants. The problems are solved using both the DAE formulation and the ODE formulation and the performance of the two approaches is compared. The ODE formulation is shown to have roughly three times shorter execution time. We also discuss benefits and drawbacks of the two approaches.
Originalspråkengelska
Titel på värdpublikationProceedings of the 10th International Modelica Conference
FörlagLinköping University Electronic Press
Sidor1027-1036
ISBN (tryckt)978-91-7519-380-9
StatusPublished - 2014
Evenemang10th International Modelica Conference - Lund, Sverige
Varaktighet: 2014 mars 102014 mars 12

Publikationsserier

Namn
Nummer96
Volym1650-3740
ISSN (tryckt)1650-3686

Konferens

Konferens10th International Modelica Conference
Land/TerritoriumSverige
OrtLund
Period2014/03/102014/03/12

Bibliografisk information

project=LCCC-modeling, langopt, collocation

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