Clamped Beam

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Description: Clamped Beam Model

This benchmark models a cantilever beam, which is a beam clamped on one end. More details can be found in and , .

For larger beam-type benchmarks see the linear 1d beam and electrostatic beam benchmarks.

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: beam.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:

$A \in \mathbb{R}^{348 \times 348}$, $B \in \mathbb{R}^{348 \times 1}$, $C \in \mathbb{R}^{1 \times 348}$.

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_beam,
 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{morAntSG01,
 author =       {A.C. Antoulas, D.C. Sorensen and S. Gugercin},
 title =        {A survey of model reduction methods for large-scale systems},
 journal =      {Contemporary Mathematics},
 volume =       {280},
 pages =        {193--219},
 year =         {2001},
 doi =          {10.1090/conm/280}
}