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[[Category:benchmark]] | [[Category:benchmark]] | ||
[[Category:SLICOT]] | [[Category:SLICOT]] | ||
[[Category:linear]] | |||
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[[Category:first differential order]] | |||
[[Category:Sparse]] | [[Category:Sparse]] | ||
[[Category:MIMO]] | [[Category:MIMO]] | ||
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This benchmark models the swing arm of a [[wikipedia:CD_Player|CD Player]] holding a lens which can be moved in the horizontal plain. | This benchmark models the swing arm of a [[wikipedia:CD_Player|CD Player]] holding a lens which can be moved in the horizontal plain. | ||
More details can be found in <ref name="draijer92"/>, <ref name="wortelboer96"/> and <ref name="chahlaoui02"/>, <ref name="chahlaoui05"/>. | More details can be found in <ref name="draijer92"/>, <ref name="wortelboer96"/> and <ref name="chahlaoui02"/>, <ref name="chahlaoui05"/>. | ||
==Origin== | ==Origin== | ||
This benchmark is part of the '''SLICOT Benchmark Examples for Model Reduction'''<ref name="chahlaoui05"/>. | This benchmark is part of the '''SLICOT Benchmark Examples for Model Reduction'''<ref name="chahlaoui05"/>. | ||
==Data== | ==Data== | ||
The system matrices <math>A</math>, <math>B</math>, <math>C</math> are available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [http://slicot.org/objects/software/shared/bench-data/CDplayer.zip CDplayer.zip] and are stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file. | The system matrices <math>A</math>, <math>B</math>, <math>C</math> are available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [http://slicot.org/objects/software/shared/bench-data/CDplayer.zip CDplayer.zip] and are stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file. | ||
==Dimensions== | ==Dimensions== | ||
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:<math> | :<math> | ||
\begin{ | \begin{align} | ||
\dot{x}(t) &= | \dot{x}(t) &= A x(t) + B u(t) \\ | ||
y(t) &= | y(t) &= C x(t) | ||
\end{ | \end{align} | ||
</math> | </math> | ||
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<math>B \in \mathbb{R}^{120 \times 2}</math>, | <math>B \in \mathbb{R}^{120 \times 2}</math>, | ||
<math>C \in \mathbb{R}^{2 \times 120}</math>. | <math>C \in \mathbb{R}^{2 \times 120}</math>. | ||
==Citation== | ==Citation== | ||
Revision as of 17:02, 29 August 2023
Description: Classical CD Player Model
This benchmark models the swing arm of a CD Player holding a lens which can be moved in the horizontal plain. More details can be found in [1], [2] and [3], [4].
Origin
This benchmark is part of the SLICOT Benchmark Examples for Model Reduction[4].
Data
The system matrices , , are available from the SLICOT benchmarks page: CDplayer.zip and are stored as MATLAB .mat file.
Dimensions
System structure:
System dimensions:
, , .
Citation
To cite this benchmark, use the following references:
- For the benchmark itself and its data:
- Niconet e.V., SLICOT - Subroutine Library in Systems and Control Theory, http://www.slicot.org
@MANUAL{slicot_cdisc,
title = {{SLICOT} - Subroutine Library in Systems and Control Theory},
organization = {Niconet e.V.}
address = {\url{http://www.slicot.org}},
key = {SLICOT}
}
- For the background on the benchmark:
@ARTICLE{DraSB92,
author = {W. Draijer and M. Steinbuch and O. Bosgra},
title = {Adaptive Control of the Radial Servo System of a Compact Disc Player},
journal = {Automatica},
volume = {28},
number = {3},
pages = {455--462},
year = {1992},
doi = {10.1016/0005-1098(92)90171-B}
}
References
- ↑ W. Draijer, M. Steinbuch, O. Bosgra. Adaptive Control of the Radial Servo System of a Compact Disc Player. Automatica, 28(3): 455--462, 1992.
- ↑ P. Wortelboer, M. Steinbuch, O. Bosgra. Closed-Loop Balanced Reduction with Application to a Compact Disc Mechanism. Selected Topics in Identification, Modeling and Control, 9: 47--58, 1996.
- ↑ Y. Chahlaoui, P. Van Dooren, A collection of Benchmark examples for model reduction of linear time invariant dynamical systems, Working Note 2002-2: 2002.
- ↑ 4.0 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.