Passivity-based feedback control of a channel flow for drag reduction

Heins, Peter H.; Jones, Bernard J. T.; Sharma, A. S.

doi:10.1109/control.2014.6915144

Cited by 1 publication

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Identifying these spatial modes is a novel contribution and it is hoped that this will aid in future controller design. The work presented in this paper builds on that by Heins et al [11] which outlined a linear analysis of this control method. This paper goes substantially further by applying passivity-based controllers to high-fidelity nonlinear simulations in order to gain insight into the performance of this control method on realistic turbulent flows.…”

Section: Introductionmentioning

confidence: 96%

Passivity-based output-feedback control of turbulent channel flow

2016

Self Cite

View full text Add to dashboard Cite

This paper describes a robust linear time-invariant output-feedback control strategy to reduce turbulent fluctuations, and therefore skinfriction 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.

show abstract

Section: Introductionmentioning

confidence: 96%