Reduced-order model-based feedback controller design for subsonic cavity flows
Myatt, J. H.
43rd AIAA Aerospace Sciences Meeting and Exhibit - Meeting Papers
American Institute of Aeronautics and Astronautics
1 - 11
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This paper explores feedback controller design for cavity flows based on reduced-order models derived using Proper Orthogonal Decomposition (POD) along with Galerkin projection method. Our preliminary analysis shows that the equilibrium of the POD model is unstable and a static output feedback controller cannot stabilize it. We develop Linear Quadratic (LQ) optimal state feedback controllers and LQ optimal observers for the linearized models. The linear controllers and observers are applied to the nonlinear system using simulations. The controller robustness is numerically tested with respect to different POD models generated at different forcing frequencies. An estimation for the region of attraction of the linear controllers is also provided.
Galerkin projection method
Proper orthogonal decomposition (POD)
Linear control systems
Published Version (Please cite this version)https://doi.org/10.2514/6.2005-293
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