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H? control for non-periodic planar channel flows

H? control for non-periodic planar channel flows
H? control for non-periodic planar channel flows
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

0-7803-7061-9
4950-4955
Institute of Electrical and Electronics Engineers
Baramov, L
c9345a42-f80b-4cf4-937d-6531db4f3a19
Tutty, O.R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Rogers, E.
990fd784-1526-448f-8d55-66685622831d
Baramov, L
c9345a42-f80b-4cf4-937d-6531db4f3a19
Tutty, O.R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Rogers, E.
990fd784-1526-448f-8d55-66685622831d

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. Institute of Electrical and Electronics Engineers. 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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More information

Published date: 2002
Organisations: Aerodynamics & Flight Mechanics

Identifiers

Local EPrints ID: 155839
URI: http://eprints.soton.ac.uk/id/eprint/155839
ISBN: 0-7803-7061-9
PURE UUID: ae617681-0886-442c-b359-fdb670992aa4

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Date deposited: 13 Jul 2010 10:16
Last modified: 16 Sep 2020 16:39

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Contributors

Author: L Baramov
Author: O.R. Tutty
Author: E. Rogers

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