Abstract
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.
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© 1998 Springer Science+Business Media New York
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Cortelezzi, L., Speyer, J.L. (1998). Robust Reduced-Order Controller of Transitional Boundary Layers. In: Borggaard, J., Burns, J., Cliff, E., Schreck, S. (eds) Computational Methods for Optimal Design and Control. Progress in Systems and Control Theory, vol 24. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1780-0_8
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DOI: https://doi.org/10.1007/978-1-4612-1780-0_8
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