H? control for non-periodic planar channel flows

Baramov, L, Tutty, O.R. and Rogers, E. (2002) H? control for non-periodic planar channel flows. In Proceedings of the 40th IEEE Conference on Decision and Control. IEEE. pp. 4950-4955 . (doi:10.1109/.2001.980993).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper deals with finite-dimensional boundary control of the linearized 2D flow between two infinite parallel planes. Surface transpiration along a few regularly spaced sections of the bottom wall is used to control the flow. Measurements from several discrete, suitably placed shear-stress sensors provide the feedback. Unlike other studies in this area, the flow is not assumed to be periodic, and spatially growing flows are considered. An H? control scheme is designed to guarantee stability for the model set and to reduce the wall-shear stress at the channel wall. This design is tested by simulations with a nonlinear Navier-Stokes PDE solver in the loop. The simulation results show that the controller is effective in reducing shear disturbances

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