Modeling and optimization with Optimica and JModelica.org-Languages and tools for solving large-scale dynamic optimization problems

Computers and Chemical Engineering

Volumn 34, Issue 11, 2010, Pages 1737-1749

  Akesson J ^a,b   Arzen K E ^a   Gafvert M ^b   Bergdahl, T ^b   Tummescheit, H ^b  

^a LUND UNIVERSITY   (Sweden)

^b Ideon Science Park   (Sweden)

Author keywords

Dynamic optimization; Model predictive control; Modelica; Optimica

Indexed keywords

COMPLEX PHYSICAL SYSTEMS; DE FACTO STANDARD; DYNAMIC OPTIMIZATION; LARGE-SCALE DYNAMICS; MODELICA; MODELICA LANGUAGE; MODELING AND OPTIMIZATION; OPEN SOURCE PROJECTS; OPTIMICA; OPTIMIZATION PROBLEMS; STATIC AND DYNAMIC;

COMPUTER SIMULATION; ELECTRIC CONVERTERS; LINGUISTICS; MODEL PREDICTIVE CONTROL; MODELS; OPTIMIZATION; PREDICTIVE CONTROL SYSTEMS;

DYNAMIC MODELS;

EID: 77956874345     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2009.11.011     Document Type: Article

References (74)

1. Åkesson, J. (2007, November). Tools and languages for optimization of large-scale systems. Ph.D. thesis, Department of Automatic Control, Lund University, Sweden.
2. Åkesson J., Ekman T., Hedin G. Implementation of a Modelica compiler using jastadd attribute grammars. Science of Computer Programming 2010, 75(1-2):21-38.
3. Åström K.J., Elmqvist H., Mattsson S.E. Evolution of continuous-time modeling and simulation. Proceedings of the 12th European simulation multiconference. ESM'98, Society for Computer Simulation International 1998, 9-18.
4. Barton, P., & Lee, C. K. (2002). Modeling, simulation, sensitivity analysis, and optimization of hybrid systems. ACM Transactions on Modeling and Computer Simulation, 12 (4).
5. Bell, B. M. (2008). CppAD home page. http://www.coinor.org/CppAD/.
6. Bellman R. Dynamic programming 1957, Princeton University Press, Princeton, NJ.
7. Benallou A., Seborg D., Mellichamp D. Dynamic compartmental models for separation processes. AIChE Journal 1986, 32(7):1067-1078.
8. Bertsekas, D. P. (2000). Dynamic programming and optimal control (Vol. 1). Athena Scientific.
9. Bertsekas, D. P. (2000). Dynamic programming and optimal control (Vol. 2). Athena Scientific.
10. Betts J.T. Practical methods for optimal control using nonlinear programming 2001, Society for Industrial and Applied Mathematics.
11. Biegler L., Cervantes A., Wächter A. Advances in simultaneous strategies for dynamic optimization. Chemical Engineering Science 2002, 57:575-593.
12. Binder, T., Blank, L., Bock, H., Bulirsch, R., Dahmen, Diehl, M., et al. (2001). Introduction to model based optimization of chemical processes on moving horizons. In Online optimization of large scale systems Berlin/Heidelberg: Springer-Verlag.
13. Bischof, C., Bücker, H. M., Marquardt, W., Petera, M., & Wyes, J. (2006). Transforming equation-based models in process engineering. In Automatic differentiation: Applications theory and tools Springer.
14. Bock H., Plitt K.J. A multiple shooting algorithm for direct solution of optimal control problems. Ninth IFAC world congress 1984.
15. Bock, H., Eich, E., & Schlöder, J. (1988). Numerical solution of constrained least squares boundary value problems in differential-algebraic equations. In Numerical treatment of differential equations. Teubner.
16. Casella F., Filippo D., Åkesson J. n XML representation of DAE systems obtained from Modelica models. Seventh international Modelica conference 2009 2009, Modelica Association.
17. Clabaugh, J. A. (2001). ABACUSS II syntax manual. Massachusetts Institute of Technology. http://yoric.mit.edu/abacuss2/syntax.html.
18. Danielsson, H. (2007, June). Vehicle path optimisation. Master's thesis, ISRN LUTFD2/TFRT-5797-SE, Department of Automatic Control, Lund University, Sweden.
19. Dassault Systémes. (2009). iSIGHT home page. http://www.simulia.com/products/isight.html.
20. Diehl M., Bock H., Schloder J., Findeisen R., Nagy Z., Allgower F. Realtime optimization and nonlinear model predictive control of processes governed by differential-algebraic equations. Journal of Process Control 2002, 12(4):577-585.
21. DLR Dynasim, ITI, & QTronic. (2009). The functional model interface, draft.
22. Dynasim, A. B. (2009). Dynasim AB home page. http://www.dynasim.se.
23. Ekman T., Hedin G. Rewritable reference attributed grammars. Proceedings of the ECOOP 2004, Vol. 3086 of LNCS 2004, 144-169. Springer-Verlag.
24. Ekman T., Hedin G. The jastadd extensible java compiler. Proceedings of OOPSLA 2007 2007.
25. Ekman, T., Hedin, G., & Magnusson, E. (2006). JastAdd. http://jastadd.cs.lth.se/web/.
26. Elmqvist H., Olsson H., Mattsson S., Brück D., Schweiger C., Joos D., et al. Optimization for design and parameter estimation. Seventh international Modelica conference 2009 2005, Modelica Association.
27. Elsheikh A. Sensitivity analysis of Modelica applications via automatic differentiation. Sixth international Modelica conference 2008 2008, Modelica Association.
28. Enthought, I. (2009). SciPy. http://www.scipy.org/.
29. Enthought, I. (2009). IPython frontpage. http://ipython.scipy.org/moin/.
30. ESTECO. (2009). modeFRONTIER home page. http://www.esteco.com/.
31. P. S. Foundation. (2009). Python programming language-Official website. http://www.python.org/.
32. P. S. Foundation. (2009). ctypes: A foreign function library for Python. http://docs.python.org/library/ctypes.html.
33. Fritzson P. Principles of object-oriented modeling and simulation with Modelica 2.1 2004, John Wiley & Sons.
34. Giselsson P., Åkesson J., Robertsson A. Optimization of a pendulum system using Optimica and Modelica. Seventh international Modelica conference 2009 2009, Modelica Association.
35. Hahn J., Edgar T. An improved method for nonlinear model reduction using balancing of empirical gramians. Computers and Chemical Engineering 2002, 26(10):1379-1397.
36. Hast M., Åkesson J., Robertsson A. Optimal robot control using Modelica and Optimica. Seventh international Modelica conference 2009 2009, Modelica Association.
37. Haugwitz S., Åkesson J., Hagander P. Dynamic start-up optimization of a plate reactor with uncertainties. Journal of Process Control 2009, 19(4):686-700.
38. Hedin, G., & Magnusson, E. (2003). JastAdd: An aspect-oriented compiler construction system. Science of Computer Programming, 47 (1), 37-58. http://dx.doi.org/10.1016/S0167--6423(02)00109--0.
39. Hicks G.A., Ray W.H. Approximation methods for optimal control synthesis. Canadian Journal of Chemical Engineering 1971, 20:522-529.
40. Hunter, J., Dale, D., & Droettboom, M. (2009). matplotlib: python plotting. http://matplotlib.sourceforge.net/.
41. IEEE. (1997). Standard VHDL analog and mixed-signal extensions (Tech. rep.). IEEE.
42. ITI GmbH. (2009). ITI GmbH home page. http://www.iti.de/.
43. Karnopp D., Rosenberg R. Analysis and simulation of multiport systems-The bond graph approach to physical system dynamics 1968, MIT Press, Cambridge, MA, USA.
44. Kiczales G., Hilsdale E., Hugunin J., Kersten M., Palm J., Griswold W.G. An overview of AspectJ. LNCS 2001, 2072:327-355.
45. Knuth, D. E. (1968). Semantics of context-free languages. Mathematical Systems Theory, 2 (2), 127-145 [Correction: Mathematical Systems Theory 5 (1), 95-96 (March 1971)].
46. Kraft, D. (1994). Algorithm 733: Tmp-fortran modules for optimal control calculations. ACM Transactions on Mathematical Software, 20 (3).
47. Kroshko, D. L. (2009). OpenOpt home page. http://openopt.org/Welcome.
48. Lang Y., Biegler L. A software environment for simultaneous dynamic optimization. Computers and Chemical Engineering 2007, 31(8):931-942.
49. Maplesoft. (2009). MapleSim-High-performance multi-domain modeling and simulation. http://www.maplesoft.com/products/maplesim/index.aspx.
50. Mattsson S.E., Andersson M. Omola-An object-oriented modelling language. Colloquium on open systems: The way forward in computer aided control engineering 1992, The Institution of Electrical Engineers, London, UK.
51. Mattsson S.E., Söderlind G. Index reduction in differential-algebraic equations using dummy derivatives. SIAM Journal of Scientific and Statistical Computing 1993, 14(3):677-692.
52. Menard, S. (2009). JPype home page. http://jpype.sourceforge.net/.
53. Modelon AB. (2009). JModelica home page. http://www.jmodelica.org.
54. MSC Software. (2007). ADAMS home page. http://www.mscsoftware.com/products/adams.cfm.
55. Nagel, L., & Pederson, D. O. (1973). Simulation program with integrated circuit emphasis (spice) (Tech. rep.). Electronics Research Laboratory, College of Engineering, University of California Berkeley, CA, USA [Memorandum ERLM382].
56. Numerica Technology. (2007). Jacobian. http://www.numericatech.com/jacobian.htm.
57. Nytsch-Geusen, C. (2007). MosiLab home page. http://www.mosilab.de/.
58. Oliphant, T. (2009). Numpy home page. http://numpy.scipy.org/.
59. OPTEC K.U. Leuven. (2009). ACADO home page. http://www.acadotoolkit.org/.
60. OptiY. (2009). OptiY home page. http://www.optiy.de/.
61. PELAB. (2009). The OpenModelica project. http://www.ida.liu.se/pelab/modelica/OpenModelica.html.
62. Phoenix Integration. (2009). ModelCenter home page. http://www.phoenixint.com/software/phx_modelcenter.php.
63. Pontryagin L.S., Boltyanskii V.G., Gamkrelidze R.V., Mishchenko E.F. The mathematical theory of optimal processes 1962, John Wiley & Sons Inc.
64. Process Systems Enterprise. (2007). gPROMS home page. http://www.psenterprise.com/gproms/index.html.
65. T.-J. G. f. M. C. P. University of Stellenbosch. (2009). PySUNDIALS: Python SUite of Nonlinear and DIfferential/ALgebraic equation Solvers. http://pysundials.sourceforge.net/.
66. Rantil J., Åkesson J., Führer C., Gäfvert M. Multiple-shooting optimization using the JModelica.org platform. Seventh international Modelica conference 2009 2009, Modelica Association.
67. C. f. A. S. C. Lawrence Livermore National Laboratory. SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers). https://computation.llnl.gov/casc/sundials/main.html.
68. Tarjan R. Depth-first search and linear graph algorithms. SIAM Journal of Computing 1972, 1(2):146-160.
69. The Modelica Association. (2007). The Modelica Association home page. http://www.modelica.org.
70. Tuszynskia, J., Persson, M., Åkesson, J., Andreasson, J., & Gäfvert, M. (2009). Modelbased approach for design and validation of a novel concept of public mass transport. In 21st International symposium on dynamics of vehicles on roads and tracks.
71. University of Heidelberg. (2009). MUSCOD-II home page. http://www.iwr.uniheidelberg.de/agbock/RESEARCH/muscod.php.
72. Vassiliadis, V. (1993). Computational solution of dynamic optimization problem with general differential-algebraic constraints. Ph.D. thesis, Imperial Collage, London, UK.
73. von Wedel, L. (2002). CapeML-A model exchange language for chemical process modeling (Tech. rep.). Lehrstuhl für Prozesstechnik, RWTH Aachen University.
74. Wächter A., Biegler L.T. On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Mathematical Programming 2006, 106(1):25-58.