Robust reduced-order feedback control of near-wall turbulence in a channel flow is investigated. Wall-transpiration is the means for suppressing near-wall disturbances. Measurements of wall-shear stress to be fed back to the controller are provided by sensors distributed along the wall of the channel. A quadratic cost function is composed of the wall-shear stress and the control effort. Linear-quadratic Gaussian/loop-transfer-recovery synthesis, and model reduction techniques are used to derive robust feedback controllers from the linearized two-dimensional Navier-Stokes equations. Controller performance is first tested on a numerical simulation of infinitesimal three-dimensional disturbances in the presence of finite-amplitude two-dimensional perturbations. Controller performance is subsequently tested on a direct numerical simulation of a fully developed turbulent channel flow. Preliminary controller performance for the nonlinear flow was surprisingly good, suggesting that the linear system can be used as a basis for developing controllers for near-wall turbulence.

Robust Reduced-Order Control of Turbulent Channel Flows Via Distributed Sensors and Actuators

CORTELEZZI, LUCA;
1998

Abstract

Robust reduced-order feedback control of near-wall turbulence in a channel flow is investigated. Wall-transpiration is the means for suppressing near-wall disturbances. Measurements of wall-shear stress to be fed back to the controller are provided by sensors distributed along the wall of the channel. A quadratic cost function is composed of the wall-shear stress and the control effort. Linear-quadratic Gaussian/loop-transfer-recovery synthesis, and model reduction techniques are used to derive robust feedback controllers from the linearized two-dimensional Navier-Stokes equations. Controller performance is first tested on a numerical simulation of infinitesimal three-dimensional disturbances in the presence of finite-amplitude two-dimensional perturbations. Controller performance is subsequently tested on a direct numerical simulation of a fully developed turbulent channel flow. Preliminary controller performance for the nonlinear flow was surprisingly good, suggesting that the linear system can be used as a basis for developing controllers for near-wall turbulence.
Proceedings of the 37th IEEE Conference on Decision and Control
Robust control, Stress control, Testing, Numerical simulation, Nonlinear control systems, Control systems, Feedback control, Stress measurement, Cost function, Reduced order systems
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/998281
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