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International Space Station


International Space Station
Background
Benchmark ID
  • iss_n1412m3q3
  • iss_n270m3q3
Category

slicot

System-Class

LTI-FOS

Parameters
nstates
  • 1412
  • 270
ninputs

3

noutputs

3

nparameters

0

components

A, B, C

Copyright
License

NA

Creator

Christian Himpe

Editor
Location

NA


Description: Components of the International Space Station

These benchmarks model components of the International Space Station (ISS). More details can be found in [1], [2] and [3], [4].


Component 1R

This model describes the Russian Service Module (ISS-1R).


Component 12A

This model describes the Solar Arrays P3/P4 (ISS-12A).


Origin

This benchmark is part of the SLICOT Benchmark Examples for Model Reduction[4].


Data

The system matrices A, B, C for the ISS-1R model are available from the SLICOT benchmarks page: iss.zip, the system matrices for the ISS-12A model are available here: iss12a.zip. Both are stored as MATLAB .mat files.


Dimensions

System structure:


\begin{array}{rcl}
\dot{x}(t) &=& Ax(t) + Bu(t) \\
y(t) &=& Cx(t)
\end{array}

System dimensions:

A \in \mathbb{R}^{N \times N}, B \in \mathbb{R}^{N \times 3}, C \in \mathbb{R}^{3 \times 270}.

with N=270 for ISS-1R and N=1412 for ISS-12A.

Citation

To cite this benchmark, use the following references:

  • For the ISS-1R benchmark itself and its data:
Niconet e.V., SLICOT - Subroutine Library in Systems and Control Theory, http://www.slicot.org
@MANUAL{slicot_iss,
 title =        {{SLICOT} - Subroutine Library in Systems and Control Theory},
 organization = {Niconet e.V.},
 address =      {\url{http://www.slicot.org}},
 key =          {SLICOT}
}
  • For the ISS-12A benchmark and background on the benchmarks:
@INPROCEEDINGS{morGugAB01,
 author =       {S. Gugercin and A. Antoulas and M. Bedrossian},
 title =        {Approximation of the International Space Station 1R and 12A flex models},
 booktitle =    {Proceedings of the IEEE Conference on Decision and Control},
 pages =        {1515--1516},
 year =         {2001},
 doi =          {10.1109/CDC.2001.981109}
}

References

  1. S. Gugercin, A. Antoulas and M. Bedrossian Approximation of the International Space Station 1R and 12A flex models. In: Proceedings of the IEEE Conference on Decision and Control: 1515--1516, 2001.
  2. A.C. Antoulas, D.C. Sorensen and S. Gugercin. A survey of model reduction methods for large-scale systems. Contemporary Mathematics, 280: 193--219, 2001.
  3. Y. Chahlaoui, P. Van Dooren, A collection of Benchmark examples for model reduction of linear time invariant dynamical systems, Working Note 2002-2: 2002.
  4. 4.0 4.1 Y. Chahlaoui, P. Van Dooren, Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 379--392, 2005.