Passivity-based output-feedback control of turbulent channel flow
Passivity-based output-feedback control of turbulent channel flow
This paper describes a robust linear time-invariant output-feedback control strategy to reduce turbulent fluctuations, and therefore skin-friction drag, in wall-bounded turbulent fluid flows, that nonetheless gives performance guarantees in the nonlinear turbulent regime. The novel strategy is effective in reducing the supply of available energy to feed the turbulent fluctuations, expressed as reducing a bound on the supply rate to a quadratic storage function. The nonlinearity present in the equations that govern the dynamics of the flow is known to be passive and can be considered as a feedback forcing to the linearised dynamics (a Lur’e decomposition). Therefore, one is only required to control the linear dynamics in order to make the system close to passive. The ten most energy-producing spatial modes of a turbulent channel flow were identified. Passivity-based controllers were then generated to control these modes. The controllers require measurements of streamwise and spanwise wall-shear stress, and they actuate via wall transpiration. Nonlinear direct numerical simulations demonstrated that these controllers were capable of significantly reducing the turbulent energy and skin-friction drag of the flow.
348-355
Heins, Peter H.
e54e4d3e-9a01-494d-b317-a1d3036eeef2
Jones, Bryn Ll.
577bdb6b-0925-45a6-8948-88bb1c761b4d
Sharma, Ati S.
cdd9deae-6f3a-40d9-864c-76baf85d8718
July 2016
Heins, Peter H.
e54e4d3e-9a01-494d-b317-a1d3036eeef2
Jones, Bryn Ll.
577bdb6b-0925-45a6-8948-88bb1c761b4d
Sharma, Ati S.
cdd9deae-6f3a-40d9-864c-76baf85d8718
Heins, Peter H., Jones, Bryn Ll. and Sharma, Ati S.
(2016)
Passivity-based output-feedback control of turbulent channel flow.
Automatica, 69, .
(doi:10.1016/j.automatica.2016.03.007).
Abstract
This paper describes a robust linear time-invariant output-feedback control strategy to reduce turbulent fluctuations, and therefore skin-friction drag, in wall-bounded turbulent fluid flows, that nonetheless gives performance guarantees in the nonlinear turbulent regime. The novel strategy is effective in reducing the supply of available energy to feed the turbulent fluctuations, expressed as reducing a bound on the supply rate to a quadratic storage function. The nonlinearity present in the equations that govern the dynamics of the flow is known to be passive and can be considered as a feedback forcing to the linearised dynamics (a Lur’e decomposition). Therefore, one is only required to control the linear dynamics in order to make the system close to passive. The ten most energy-producing spatial modes of a turbulent channel flow were identified. Passivity-based controllers were then generated to control these modes. The controllers require measurements of streamwise and spanwise wall-shear stress, and they actuate via wall transpiration. Nonlinear direct numerical simulations demonstrated that these controllers were capable of significantly reducing the turbulent energy and skin-friction drag of the flow.
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Accepted/In Press date: 23 February 2016
e-pub ahead of print date: 24 March 2016
Published date: July 2016
Organisations:
Aeronautics, Astronautics & Comp. Eng
Identifiers
Local EPrints ID: 390657
URI: http://eprints.soton.ac.uk/id/eprint/390657
ISSN: 0005-1098
PURE UUID: f52684ec-6c29-42fe-a15e-1d292e882d6a
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Date deposited: 06 Apr 2016 10:16
Last modified: 15 Mar 2024 03:46
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Contributors
Author:
Peter H. Heins
Author:
Bryn Ll. Jones
Author:
Ati S. Sharma
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