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title = "Singular Value Decomposition"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Multivariable Analysis"
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Tags
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## SVD of a MIMO system {#svd-of-a-mimo-system}
This is taken from (NO_ITEM_DATA:skogestad05_multiv_feedb_contr).
This is taken from (<a href="#citeproc_bib_item_2">Skogestad and Postlethwaite 2007</a>).
We are interested by the physical interpretation of the SVD when applied to the frequency response of a MIMO system \\(G(s)\\) with \\(m\\) inputs and \\(l\\) outputs.
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<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
<div class="csl-entry"><a id="citeproc_bib_item_1"></a>Preumont, A. 2018. <i>Vibration Control of Active Structures - Fourth Edition</i>. Solid Mechanics and Its Applications. Springer International Publishing. doi:<a href="https://doi.org/10.1007/978-3-319-72296-2">10.1007/978-3-319-72296-2</a>.</div>
<div class="csl-entry">NO_ITEM_DATA:skogestad05_multiv_feedb_contr</div>
<div class="csl-entry"><a id="citeproc_bib_item_2"></a>Skogestad, S., and I. Postlethwaite. 2007. <i>Multivariable Feedback Control: Analysis and Design - Second Edition</i>. John Wiley.</div>
</div>