An iterative controller inference scheme generates informative data for stabilization by using previously inferred low-dimensional controllers to steer sampling, reducing data needs by up to an order of magnitude.
Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients
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abstract
We provide spatial discretizations of nonlinear incompressible Navier-Stokes equations with inputs and outputs in the form of matrices ready to use in any numerical linear algebra package. We discuss the assembling of the system operators and the realization of boundary conditions and inputs and outputs. We describe the two benchmark problems - the driven cavity and the cylinder wake - and provide the corresponding data. The use of the data is illustrated by numerous example setups. The test cases are provided as plain PYTHON or OCTAVE/MATLAB script files for immediate replication.
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An adaptive data sampling strategy for stabilizing dynamical systems via controller inference
An iterative controller inference scheme generates informative data for stabilization by using previously inferred low-dimensional controllers to steer sampling, reducing data needs by up to an order of magnitude.