Robust Reduced-Order Controller of Transitional Boundary Layers
A framework to derive optimal and robust reduced-order controllers of transitional boundary layers using linear-quadratic-Gaussian (LQG) design, or, in modem terms, H 2 design, is presented. As a test case, two-dimensional Poiseuille flow is considered. A controller based on a reduced model, 8% of the order of the full size system, is designed. Initial conditions creating transient growth of wall-shear stresses are constructed. The controller is tested on a 32 wave numbers simulation. Wall-shear stresses reduction, up to 90%, is obtained. The transferability of the controller to Navier-Stokes simulations and engineering applications is discussed.
KeywordsBottom Wall Poiseuille Flow Robust Controller Linear Quadratic Regulator Transient Growth
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