Dynamic Parametric Sensitivity Optimization Using Simultaneous Discretization in JModelica.org

Fredrik Magnusson; Kyle Palmer; Lu Han; George Bollas

doi:10.1109/ComplexSys.2015.7385980

Dynamic Parametric Sensitivity Optimization Using Simultaneous Discretization in JModelica.org

Fredrik Magnusson, Kyle Palmer, Lu Han, George Bollas

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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Abstract

Dynamic optimization problems involving parametric sensitivities, such as optimal experimental design, are typically solved using shooting-based methods, while leveraging numerical integrators with sensitivity computation capabilities. In this paper we present how simultaneous discretization can be employed to solve these problems, by augmenting the dynamic optimization problems with forward sensitivity equations.

We present an implementation of this approach in the open-source, Modelica-based tool JModelica.org, which addresses the need for solving optimal experimental design problems in Modelica tools. The implementation is demonstrated on a fed-batch reactor and a plate-fin heat exchanger.

Original language	English
Title of host publication	2015 International Conference on Complex Systems Engineering
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	37-42
ISBN (Print)	9781467371797
DOIs	https://doi.org/10.1109/ComplexSys.2015.7385980
Publication status	Published - 2015
Event	2015 International Conference on Complex Systems Engineering - Storrs, CT Duration: 2015 Nov 9 → …

Conference

Conference	2015 International Conference on Complex Systems Engineering
Period	2015/11/09 → …

Subject classification (UKÄ)

Control Engineering

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10.1109/ComplexSys.2015.7385980

2015_framework_oedAccepted author manuscript, 250 KB

Numerical and Symbolic Algorithms for Dynamic Optimization
Magnusson, F. (Researcher), Åkesson, J. (Researcher), Holmqvist, A. (Researcher), Berntorp, K. (Researcher) & Andersson, C. (Researcher)
2012/02/01 → 2017/02/01
Project: Research
LCCC
Holmqvist, A. (Researcher), Andersson, N. (Researcher), Cervin, A. (Researcher), Mannesson, A. (Researcher), Gattami, A. (Researcher), Ghulchak, A. (Researcher), Papadopoulos, A. V. (Researcher), Rantzer, A. (Researcher), Robertsson, A. (Researcher), Sootla, A. (Researcher), THEORIN, A. (Researcher), Bernhardsson, B. (Researcher), Olofsson, B. (Researcher), Wittenmark, B. (Researcher), Grussler, C. (Researcher), Johnsson, C. (Researcher), MADJIDIAN, D. (Researcher), Johannesson, E. (Researcher), Magnusson, F. (Researcher), Ståhl, F. (Researcher), Como, G. (Researcher), Chasparis, G. (Researcher), Turesson, G. (Researcher), Dressler, I. (Researcher), Åkesson, J. (Researcher), Cho, J. H. (Researcher), Årzén, K.-E. (Researcher), Åström, K. J. (Researcher), Sou, K. C. (Researcher), Mårtensson, K. (Researcher), Berntorp, K. (Researcher), Soltesz, K. (Researcher), Lessard, L. (Researcher), Hast, M. (Researcher), Rönn, M. (Researcher), Ansbjerg Kjær, M. (Researcher), Maggio, M. (Researcher), Kristalny, M. (Researcher), Garpinger, O. (Researcher), From, P. J. (Researcher), Larsson, P.-O. (Researcher), Giselsson, P. (Researcher), Johansson, R. (Researcher), Hägglund, T. (Researcher), Vladimerou, V. (Researcher), Romero Segovia, V. (Researcher), Aurelius, A. (Researcher), Cedersjö, G. (Researcher), Bür, K. (Researcher), Dellkrantz, M. (Researcher), Du, M. (Researcher), Amani, P. (Researcher), Larsson, R. (Researcher), Tärneberg, W. (Research student), Li, Z. (Researcher), Yin, L. (Researcher), Tufvesson, F. (Researcher), Höst, S. (Researcher), Nilsson, B. (Researcher), Stenström, S. (Researcher), Andersson, J. A. (Researcher), Diehl, S. (Researcher), Dürango, J. (Researcher), Ghazaei Ardakani, M. (Researcher), Forsberg, P.-O. (Researcher), Bengtsson, F. (Researcher), Jörntell, H. (Researcher), Arévalo, C. (Researcher), Führer, C. (Researcher), Andersson, C. (Researcher), Mohammadi, F. (Researcher), Ödling, P. (Researcher), Andersson, M. (Researcher), Kihl, M. (Researcher) & Tunestål, P. (Researcher)
2008/07/01 → 2018/06/30
Project: Research

Cite this

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title = "Dynamic Parametric Sensitivity Optimization Using Simultaneous Discretization in JModelica.org",

abstract = "Dynamic optimization problems involving parametric sensitivities, such as optimal experimental design, are typically solved using shooting-based methods, while leveraging numerical integrators with sensitivity computation capabilities. In this paper we present how simultaneous discretization can be employed to solve these problems, by augmenting the dynamic optimization problems with forward sensitivity equations. We present an implementation of this approach in the open-source, Modelica-based tool JModelica.org, which addresses the need for solving optimal experimental design problems in Modelica tools. The implementation is demonstrated on a fed-batch reactor and a plate-fin heat exchanger.",

author = "Fredrik Magnusson and Kyle Palmer and Lu Han and George Bollas",

year = "2015",

doi = "10.1109/ComplexSys.2015.7385980",

language = "English",

isbn = "9781467371797",

pages = "37--42",

booktitle = "2015 International Conference on Complex Systems Engineering",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

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note = "2015 International Conference on Complex Systems Engineering ; Conference date: 09-11-2015",

}

Magnusson, F, Palmer, K, Han, L & Bollas, G 2015, Dynamic Parametric Sensitivity Optimization Using Simultaneous Discretization in JModelica.org. in 2015 International Conference on Complex Systems Engineering. IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 37-42, 2015 International Conference on Complex Systems Engineering, 2015/11/09. https://doi.org/10.1109/ComplexSys.2015.7385980

Dynamic Parametric Sensitivity Optimization Using Simultaneous Discretization in JModelica.org. / Magnusson, Fredrik; Palmer, Kyle; Han, Lu et al.
2015 International Conference on Complex Systems Engineering. IEEE - Institute of Electrical and Electronics Engineers Inc., 2015. p. 37-42.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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AU - Magnusson, Fredrik

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AU - Han, Lu

AU - Bollas, George

PY - 2015

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N2 - Dynamic optimization problems involving parametric sensitivities, such as optimal experimental design, are typically solved using shooting-based methods, while leveraging numerical integrators with sensitivity computation capabilities. In this paper we present how simultaneous discretization can be employed to solve these problems, by augmenting the dynamic optimization problems with forward sensitivity equations. We present an implementation of this approach in the open-source, Modelica-based tool JModelica.org, which addresses the need for solving optimal experimental design problems in Modelica tools. The implementation is demonstrated on a fed-batch reactor and a plate-fin heat exchanger.

AB - Dynamic optimization problems involving parametric sensitivities, such as optimal experimental design, are typically solved using shooting-based methods, while leveraging numerical integrators with sensitivity computation capabilities. In this paper we present how simultaneous discretization can be employed to solve these problems, by augmenting the dynamic optimization problems with forward sensitivity equations. We present an implementation of this approach in the open-source, Modelica-based tool JModelica.org, which addresses the need for solving optimal experimental design problems in Modelica tools. The implementation is demonstrated on a fed-batch reactor and a plate-fin heat exchanger.

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DO - 10.1109/ComplexSys.2015.7385980

M3 - Paper in conference proceeding

SN - 9781467371797

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BT - 2015 International Conference on Complex Systems Engineering

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 2015 International Conference on Complex Systems Engineering

Y2 - 9 November 2015

ER -

Dynamic Parametric Sensitivity Optimization Using Simultaneous Discretization in JModelica.org

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Numerical and Symbolic Algorithms for Dynamic Optimization

LCCC

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