Article | Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017 | Defining and Solving Hybrid Optimal Control Problems with Higher Index DAEs
Göm menyn

Title:
Defining and Solving Hybrid Optimal Control Problems with Higher Index DAEs
Author:
Radoslaw Pytlak: Faculty of Mathematics and Information Science, Warsaw University of Technology, Poland Damian Suski: Institute of Automatic Control and Robotics, Warsaw University of Technology, Poland Tomasz Tarnawski: Department of Quantitative Methods and Information Technology, Kozminski University, Poland Tomasz Zawadzki: Research and Academic Computer Network (NASK), Poland
DOI:
10.3384/ecp17132265
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Full text (pdf)
Year:
2017
Conference:
Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017
Issue:
132
Article no.:
028
Pages:
265-273
No. of pages:
9
Publication type:
Abstract and Fulltext
Published:
2017-07-04
ISBN:
978-91-7685-575-1
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press, Linköpings universitet


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The paper deals with optimal control problems defined for hybrid systems described by higher index DAEs. We present a prototype solution that supports the whole process from defining such problem to solving it and presenting results. Problem‚Äôs definition is done with Dynamic Optimization Modeling Language (DOML) which is based directly on Modelica. The proposed numerical procedure for solving the problems of interest has the following features: 1) it is based on the appropriately defined adjoint equations formulated for the discretized equations being the result of the numerical integration of system equations by an implicit Runge‚ÄďKutta method; 2) initialization for higher index DAEs is performed with the help of Pantelides‚Äô algorithm; 3) it does not require the system to be transformed to ODEs (through differentiation of some algebraic equations). The paper presents numerical examples related to hybrid systems described by index three DAEs, showing the validity of the proposed approach. All software components needed to carry out the computations, i.e. the code editor, compiler, numerical libraries and GUI for presenting results are prepared as parts of a combined platform: Interactive Dynamic Optimization Server (IDOS).

Keywords: hybrid systems optimal control problems higher index DAEs

Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017

Author:
Radoslaw Pytlak, Damian Suski, Tomasz Tarnawski, Tomasz Zawadzki
Title:
Defining and Solving Hybrid Optimal Control Problems with Higher Index DAEs
DOI:
http://dx.doi.org/10.3384/ecp17132265
References:
No references available

Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017

Author:
Radoslaw Pytlak, Damian Suski, Tomasz Tarnawski, Tomasz Zawadzki
Title:
Defining and Solving Hybrid Optimal Control Problems with Higher Index DAEs
DOI:
http://dx.doi.org/10.3384/ecp17132265
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Last updated: 2017-02-21