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Abstract
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.
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.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 10th International Modelica Conference |
| Publisher | Linköping University Electronic Press |
| Pages | 1027-1036 |
| ISBN (Print) | 978-91-7519-380-9 |
| Publication status | Published - 2014 |
| Event | 10th International Modelica Conference - Lund, Sweden Duration: 2014 Mar 10 → 2014 Mar 12 |
Publication series
| Name | |
|---|---|
| Number | 96 |
| Volume | 1650-3740 |
| ISSN (Print) | 1650-3686 |
Conference
| Conference | 10th International Modelica Conference |
|---|---|
| Country/Territory | Sweden |
| City | Lund |
| Period | 2014/03/10 → 2014/03/12 |
Bibliographical note
project=LCCC-modeling, langopt, collocationSubject classification (UKÄ)
- Control Engineering
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Dive into the research topics of 'Symbolic Transformations of Dynamic Optimization Problems'. Together they form a unique fingerprint.Projects
- 2 Finished
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Numerical and Symbolic Algorithms for Dynamic Optimization
Magnusson, F., Åkesson, J., Holmqvist, A., Berntorp, K. & Andersson, C.
2012/02/01 → 2017/02/01
Project: Research
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LCCC
Holmqvist, A., Andersson, N., Cervin, A., Mannesson, A., Gattami, A., Ghulchak, A., Papadopoulos, A. V., Rantzer, A., Robertsson, A., Sootla, A., THEORIN, A., Bernhardsson, B., Olofsson, B., Wittenmark, B., Grussler, C., Johnsson, C., Madjidian, D., Johannesson, E., Magnusson, F., Ståhl, F., Como, G., Chasparis, G., Turesson, G., Dressler, I., Åkesson, J., Cho, J. H., Årzén, K., Åström, K. J., Sou, K. C., Mårtensson, K., Berntorp, K., Soltesz, K., Lessard, L., Hast, M., Rönn, M., Ansbjerg Kjær, M., Maggio, M., Kristalny, M., Garpinger, O., From, P. J., Larsson, P., Giselsson, P., Johansson, R., Hägglund, T., Vladimerou, V., Romero Segovia, V., Aurelius, A., Cedersjö, G., Bür, K., Dellkrantz, M., Du, M., Amani, P., Larsson, R., Tärneberg, W., Li, Z., Yin, L., Tufvesson, F., Höst, S., Nilsson, B., Stenström, S., Andersson, J. A., Diehl, S., Dürango, J., Ghazaei Ardakani, M., Forsberg, P., Bengtsson, F., Jörntell, H., Arévalo, C., Führer, C., Andersson, C., Mohammadi, F., Ödling, P., Andersson, M., Kihl, M. & Tunestål, P.
2008/07/01 → 2018/06/30
Project: Research