Robust control of linearized Poiseuille flow
Robust control of linearized Poiseuille flow
An approach to feedback control of linearized planar Poiseuille flow using H\infty control is developed. Surface transpiration is used to control the flow and point measurements of the wall shear stress are assumed to monitor its state. A high-but-finite dimensional model is obtained via a Galerkin procedure, and this model is approximated by a low dimensional one using Hankel-optimal model reduction. For the purposes of control design the flow is modeled as an interconnection of this low dimensional system and a perturbation, reflecting the uncertainty in the model. The goal of control design is to achieve robust stability (i.e. to stabilize any combination of the nominal plant and a feasible perturbation), and to satisfy certain performance requirements. Two different types of surface actuation are considered -- harmonic transpiration and a model of a pair of suction/blowing panels. It is found that the latter is more efficient in suppressing disturbances in terms of the control effort required.
145-151
Baramov, Lubomir
19cc451f-2d4f-4dd4-b5ee-a1a80abf5b96
Tutty, Owen R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
January 2002
Baramov, Lubomir
19cc451f-2d4f-4dd4-b5ee-a1a80abf5b96
Tutty, Owen R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Baramov, Lubomir, Tutty, Owen R. and Rogers, Eric
(2002)
Robust control of linearized Poiseuille flow.
Journal of Guidance, Control, and Dynamics, 25 (1), .
Abstract
An approach to feedback control of linearized planar Poiseuille flow using H\infty control is developed. Surface transpiration is used to control the flow and point measurements of the wall shear stress are assumed to monitor its state. A high-but-finite dimensional model is obtained via a Galerkin procedure, and this model is approximated by a low dimensional one using Hankel-optimal model reduction. For the purposes of control design the flow is modeled as an interconnection of this low dimensional system and a perturbation, reflecting the uncertainty in the model. The goal of control design is to achieve robust stability (i.e. to stabilize any combination of the nominal plant and a feasible perturbation), and to satisfy certain performance requirements. Two different types of surface actuation are considered -- harmonic transpiration and a model of a pair of suction/blowing panels. It is found that the latter is more efficient in suppressing disturbances in terms of the control effort required.
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Published date: January 2002
Additional Information:
Presented as Paper 2000-2684 at the AIAA Fluids Conference, Denver, CO, 19–22 June 2000
Organisations:
Computational Engineering & Design Group, Southampton Wireless Group
Identifiers
Local EPrints ID: 254247
URI: http://eprints.soton.ac.uk/id/eprint/254247
ISSN: 0731-5090
PURE UUID: fd77dedc-1528-4d67-a443-a8093fb10e50
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Date deposited: 21 Feb 2002
Last modified: 09 Jan 2022 02:40
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Contributors
Author:
Lubomir Baramov
Author:
Owen R. Tutty
Author:
Eric Rogers
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