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H/sub /spl infin// control of nonperiodic two-dimensional channel flow

H/sub /spl infin// control of nonperiodic two-dimensional channel flow
H/sub /spl infin// control of nonperiodic two-dimensional channel flow
This paper deals with finite-dimensional boundary control of the two-dimensional (2-D) 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. Using spatial discretization in the streamwise direction, frequency responses for a relevant part of the channel are obtained. A low-order model is fitted to these data and the modeling uncertainty is estimated. An H-infinity controller is designed to guarantee stability for the model set and to reduce the wall-shear stress at the channel wall. A nonlinear Navier-Stokes PDE solver was used to test the designs in the loop. The only assumption made in these simulations is that the flow is two dimensional. The results showed that, although the problem was linearized when designing the controller, the controller could significantly reduce fundamental 2-D disturbances in practice.
H-infinity control, navier-stokes equations, channel flow, flow control, multidimensional systems, stability, infinite parallel planes, pde solver, nonperiodic flow, shear stress sensor, spatial discretization, two dimensional flow, wall shear stress
1063-6536
111-122
Baramov, L.
e4425a9c-2e31-4761-855c-91895363b7c6
Tutty, O.R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Baramov, L.
e4425a9c-2e31-4761-855c-91895363b7c6
Tutty, O.R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72

Baramov, L., Tutty, O.R. and Rogers, E. (2004) H/sub /spl infin// control of nonperiodic two-dimensional channel flow. IEEE Transactions on Control Systems Technology, 12 (1), 111-122.

Record type: Article

Abstract

This paper deals with finite-dimensional boundary control of the two-dimensional (2-D) 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. Using spatial discretization in the streamwise direction, frequency responses for a relevant part of the channel are obtained. A low-order model is fitted to these data and the modeling uncertainty is estimated. An H-infinity controller is designed to guarantee stability for the model set and to reduce the wall-shear stress at the channel wall. A nonlinear Navier-Stokes PDE solver was used to test the designs in the loop. The only assumption made in these simulations is that the flow is two dimensional. The results showed that, although the problem was linearized when designing the controller, the controller could significantly reduce fundamental 2-D disturbances in practice.

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More information

Published date: 2004
Keywords: H-infinity control, navier-stokes equations, channel flow, flow control, multidimensional systems, stability, infinite parallel planes, pde solver, nonperiodic flow, shear stress sensor, spatial discretization, two dimensional flow, wall shear stress
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 256847
URI: https://eprints.soton.ac.uk/id/eprint/256847
ISSN: 1063-6536
PURE UUID: 7819461c-2860-4169-a088-baa69560b98e
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 02 Mar 2004
Last modified: 14 Jun 2019 00:39

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