A rank-constrained linear representation with separate input and output subspaces yields reduced-order LQR controllers that stabilize the Ginzburg-Landau system at lower rank and suppress vortex shedding more effectively than DMD or OMD in the tested cases.
Model reduction for fluids, using balanced proper orthogonal decom- position
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Reduced-order control using low-rank Dynamic Mode Decomposition
A rank-constrained linear representation with separate input and output subspaces yields reduced-order LQR controllers that stabilize the Ginzburg-Landau system at lower rank and suppress vortex shedding more effectively than DMD or OMD in the tested cases.