Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced-order control using low-rank Dynamic Mode Decomposition   In this work we perform full-state LQR feedback control of fluid flows using
non-intrusive data-driven reduced-order models. We propose a model reduction
method called low-rank Dynamic Mode Decomposition (lrDMD) that solves for a
rank-constrained linear representation of the dynamical system. lrDMD is shown
to have lower data reconstruction error compared to standard Optimal Mode
Decomposition (OMD) and Dynamic Mode Decomposition (DMD), but with an increased
computational cost arising from solving a non-convex matrix optimization
problem. We demonstrate model order reduction on the complex linearized
Ginzburg-Landau equation in the globally unstable regime and on the unsteady
flow over a flat plate at a high angle of attack. In both cases,
low-dimensional full-state feedback controller is constructed using
reduced-order models constructed using DMD, OMD and lrDMD. It is shown that
lrDMD stabilizes the Ginzburg-Landau system with a lower order controller and
is able to suppress vortex shedding from an inclined flat plate at a cost lower
than either DMD or OMD. It is further shown that lrDMD yields an improved
estimate of the adjoint system, for a given rank, relative to DMD and OMD.

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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga