CD Player

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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 , and , .

Origin

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

Data

The system matrices $A$, $B$, $C$ are available from the SLICOT benchmarks page: CDplayer.zip and are stored as MATLAB .mat file.

Dimensions

System structure:

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

System dimensions:

$A\in {\mathbb{ℝ}}^{120\times 120}$, $B\in {\mathbb{ℝ}}^{120\times 2}$, $C\in {\mathbb{ℝ}}^{2\times 120}$.

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}
}