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• W2988126561 abstract "Linearization based controllers for incompressible flows have been proven to work in theory and in simulations. To realize such a controller numerically, the infinite dimensional system has to be linearized and discretized. The unavoidable consistency errors add a small but critical uncertainty to the controller model which will likely make it fail, especially when an observer is involved. Standard robust controller designs can compensate small uncertainties if they can be qualified as a coprime factor perturbation of the plant. We show that for the linearized Navier-Stokes equations, a linearization error can be expressed as a coprime factor perturbation and that this perturbation smoothly depends on the size of the linearization error. In particular, improving the linearization makes the perturbation smaller so that, eventually, standard robust controller will stabilize the system." @default.
• W2988126561 created "2019-11-22" @default.
• W2988126561 creator A5042908408 @default.
• W2988126561 date "2019-11-03" @default.
• W2988126561 modified "2023-09-27" @default.
• W2988126561 title "Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems" @default.
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• W2988126561 hasPublicationYear "2019" @default.
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