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Suppression of the transient energy growth in subcritical plane Poiseuilleflow via feedback control is addressed. It is assumed that the time derivativeof any of the velocity components can be imposed at the walls as control input,and that full-state information is available. We show that it is impossible todesign a linear state-feedback controller that leads to a closed-loop flowsystem without transient energy growth.  In a subsequent step, full-state feedback controllers -- directly targetingthe transient growth mechanism -- are designed, using a procedure based on aLinear Matrix Inequalities approach. The performance of such controllers isanalyzed first in the linear case, where comparison to previously proposedlinear-quadratic optimal controllers is made; further, transition thresholdsare evaluated via Direct Numerical Simulations of the controlledthree-dimensional Poiseuille flow against different initial conditions ofphysical interest, employing different velocity components as wall actuation.The present controllers are effective in increasing the transition thresholdsin closed loop, with varying degree of performance depending on the initialcondition and the actuation component employed.

Linear feedback control of transient energy growth and control performance limitations in subcritical plane Poiseuille flow