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Control law design for channel flow: 2D designs and 3D performance evaluation

Control law design for channel flow: 2D designs and 3D performance evaluation
Control law design for channel flow: 2D designs and 3D performance evaluation
The systems dealt with in How control problems are, in control terms, very complex, nonlinear and infinite dimensional, even if the fluid flow is comparatively simple. Plane Poiseuille flow, i.e. flow between two infinite parallel plates is one of the simplest and best understood cases of fluid dynamics. Controlling this flow is, however, still a very challenging problem, even if it is assumed that deviations from the steady-state are small enough for the governing equations to be linearized. Recent work has shown that robust control of 2D channel flow is possible without a spatial periodicity assumption.
This paper will first execute an H-infinity based robust control law design for the 2D case and then proceed to the relatively open problem of assessing the resulting performance using a Navier Stokes CFD solver as a model of the 'real' process. The results in this second part will be on the representation (to ensure realistic results) and modelling of the disturbances used and the control of 3D disturbances.
2D design, 3D performance evaluation, navier Stokes CFD solver, channel flow, flow control, plane Poiseuille flow, robust control law design
0978672003
859-864
Institute of Electrical and Electronics Engineers
O'Dea, E.
6446e904-25d8-476f-a97c-30cd006e5d76
Tutty, O.R.
1c3a81a7-7af9-4cbd-a887-5805447fad85
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
O'Dea, E.
6446e904-25d8-476f-a97c-30cd006e5d76
Tutty, O.R.
1c3a81a7-7af9-4cbd-a887-5805447fad85
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72

O'Dea, E., Tutty, O.R. and Rogers, E. (2006) Control law design for channel flow: 2D designs and 3D performance evaluation. In 14th Mediterranean Conference on Control and Automation, 2006 (MED '06). Institute of Electrical and Electronics Engineers. pp. 859-864 . (doi:10.1109/MED.2006.328777).

Record type: Conference or Workshop Item (Paper)

Abstract

The systems dealt with in How control problems are, in control terms, very complex, nonlinear and infinite dimensional, even if the fluid flow is comparatively simple. Plane Poiseuille flow, i.e. flow between two infinite parallel plates is one of the simplest and best understood cases of fluid dynamics. Controlling this flow is, however, still a very challenging problem, even if it is assumed that deviations from the steady-state are small enough for the governing equations to be linearized. Recent work has shown that robust control of 2D channel flow is possible without a spatial periodicity assumption.
This paper will first execute an H-infinity based robust control law design for the 2D case and then proceed to the relatively open problem of assessing the resulting performance using a Navier Stokes CFD solver as a model of the 'real' process. The results in this second part will be on the representation (to ensure realistic results) and modelling of the disturbances used and the control of 3D disturbances.

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More information

Published date: June 2006
Venue - Dates: 14th Mediterranean Conference on Control and Automation (MED06), 2006-06-28 - 2006-06-30
Keywords: 2D design, 3D performance evaluation, navier Stokes CFD solver, channel flow, flow control, plane Poiseuille flow, robust control law design
Organisations: Aerodynamics & Flight Mechanics

Identifiers

Local EPrints ID: 49026
URI: http://eprints.soton.ac.uk/id/eprint/49026
ISBN: 0978672003
PURE UUID: a957a690-da65-4c89-88e7-4eed943a53a0
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 19 Oct 2007
Last modified: 20 Jul 2019 01:23

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